Edit Profile (opens in new tab) Kerre, Etienne E. Compute Distance To: Compute Author ID: kerre.etienne-e Published as: Kerre, Etienne E.; Kerre, E. E.; Kerre, Etienne; Kerre, E.; Kerre, É. more...less Documents Indexed: 184 Publications since 1979, including 2 Books 13 Contributions as Editor Reviewing Activity: 94 Reviews Biographic References: 1 Publication Co-Authors: 94 Co-Authors with 188 Joint Publications 2,426 Co-Co-Authors all top 5 Co-Authors 9 single-authored 32 Deschrijver, Glad 23 De Baets, Bernard 21 Cornelis, Chris 20 Nachtegael, Mike 20 Ruan, Da 19 De Cock, Martine 14 de Cooman, Gert 13 Van Gasse, Bart 9 Cappelle, Bart 8 Van der Weken, Dietrich 8 Wang, Xuzhu 7 Radzikowska, Anna Maria 7 Shi, Yun 6 Kandil, Ali 6 Nouh, Ali Ahmed 6 Schockaert, Steven 5 Van de Walle, Bartel 4 Chen, Guoqing 4 Da, Ruan 4 Mélange, Tom 4 Tsiporkova-Hristoskova, Elena 4 Vanmassenhove, F. R. 3 Ashraf, Samina 3 Bosteels, Klaas 3 D’hondt, Pierre 3 El Gayyar, M. K. 3 El-Shafei, Mohammed E. 3 Janssen, Hugo J. 3 Ottoy, Peter L. 3 Qayyum, Madiha 3 Ramadan, Ahmed Abd El-Kader 3 Sussner, Peter 3 Tsiporkova, Elena 3 Xu, Yang 2 Arieli, Ofer 2 Dubois, Didier 2 Fathalla, M. A. 2 Ghanim, Mohammad H. 2 Gupta, Madan M. 2 Liu, Jun 2 Liu, Yaxin 2 Martens, Jurgen 2 Mashhour, Ali S. 2 Put, Ferdi 2 Van Leekwijck, Werner 2 Vroman, Annelies 2 Wang, Paul P. 2 Zhang, Guangquan 1 Abd Elmonsef, M. E. 1 Ait Abderrahim, Hamid 1 Bodenhofer, Ulrich 1 Botteldooren, Dick 1 Boyen, L. 1 Damas, Sergio 1 de Caluwe, Rita 1 De Kesel, Peter 1 de Witte, Valérie 1 D’eer, Lynn 1 Esmi, Estevão Laureano 1 Fantoni, Paolo F. 1 Fodor, János C. 1 Gazdik, Igor 1 Jenei, Sándor 1 Kuijken, Leen 1 Lu, Jie 1 Meng, Lingxian 1 Mesiar, Radko 1 Montero, Javier 1 Mordeson, John N. 1 Morsi, Nehad Nashaat 1 Nieniewski, Mariusz 1 Onisawa, Takehisa 1 Ovaere, Koen 1 Pedrycz, Witold 1 Perfilieva, Irina G. 1 Philips, Wilfried 1 Prade, Henri M. 1 Rehman, Atiq Ur 1 Schulte, Stefan 1 Serneels, R. 1 Song, Zhenming 1 Sulema, Yevgeniya 1 Teo, Kok Lay 1 Van De Ville, Dimitri 1 Van der Donck, Carol 1 Van Maldeghem, Hendrik J. 1 van Schooten, Antoine 1 Vandenbulcke, Jacques 1 Verkeyn, Andy 1 Wets, Geert 1 Wu, Yonghong 1 Yan, Peng 1 Yoshida, Yuji 1 Zenner, Rembrand B. R. C. all top 5 Serials 55 Fuzzy Sets and Systems 11 Information Sciences 8 The Journal of Fuzzy Mathematics 8 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 7 International Journal of General Systems 6 International Journal of Intelligent Systems 6 International Journal of Approximate Reasoning 5 Studies in Fuzziness and Soft Computing 4 Notes on Intuitionistic Fuzzy Sets 3 Journal of Mathematical Analysis and Applications 3 Simon Stevin 3 Mathematica Pannonica 3 Journal of the Egyptian Mathematical Society 3 New Mathematics and Natural Computation 2 Doklady Bolgarskoĭ Akademii Nauk 2 Soft Computing 1 Artificial Intelligence 1 Fasciculi Mathematici 1 Matematički Vesnik 1 Annals of Operations Research 1 Annales de la Société Scientifique de Bruxelles. Série I 1 Journal of the Australian Mathematical Society. Series A 1 Journal of Mathematical Imaging and Vision 1 Tatra Mountains Mathematical Publications 1 Far East Journal of Mathematical Sciences 1 ACM Transactions on Modeling and Computer Simulation 1 Kuwait Journal of Science and Engineering 1 International Journal of Applied Mathematics and Computer Science 1 IEEE Transactions on Image Processing 1 Journal of Computational Methods in Sciences and Engineering 1 The Kluwer International Series in Engineering and Computer Science 1 Advances in Fuzzy Systems – Applications and Theory 1 Studies in Computational Intelligence 1 Applied and Computational Mathematics 1 Scientia Iranica. Transactions D: Computer Science & Engineering, Electrical Engineering 1 TWMS Journal of Pure and Applied Mathematics 1 Fuzzy Information and Engineering 1 Axioms 1 Annals of Fuzzy Mathematics and Informatics all top 5 Fields 111 Mathematical logic and foundations (03-XX) 79 Computer science (68-XX) 30 General topology (54-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 13 Information and communication theory, circuits (94-XX) 10 General and overarching topics; collections (00-XX) 10 Measure and integration (28-XX) 10 Operations research, mathematical programming (90-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 History and biography (01-XX) 4 Systems theory; control (93-XX) 3 Group theory and generalizations (20-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Numerical analysis (65-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Biology and other natural sciences (92-XX) 1 General algebraic systems (08-XX) 1 Geometry (51-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 165 Publications have been cited 2,473 times in 1,590 Documents Cited by ▼ Year ▼ A comparative study of fuzzy rough sets. Zbl 1004.03043Radzikowska, Anna Maria; Kerre, Etienne E. 218 2002 On the relationship between some extensions of fuzzy set theory. Zbl 1013.03065Deschrijver, Glad; Kerre, Etienne E. 191 2003 Reasonable properties for the ordering of fuzzy quantities. I. Zbl 0971.03054Wang, Xuzhu; Kerre, Etienne E. 151 2001 Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application. Zbl 1075.68089Cornelis, Chris; Deschrijver, Glad; Kerre, Etienne E. 102 2004 Reasonable properties for the ordering of fuzzy quantities. II. Zbl 0971.03055Wang, Xuzhu; Kerre, Etienne E. 100 2001 Fuzzy interval analysis. Zbl 0988.26020Dubois, Didier; Kerre, Etienne; Mesiar, Radko; Prade, Henri 85 2000 On the position of intuitionistic fuzzy set theory in the framework of theories modelling imprecision. Zbl 1121.03074Deschrijver, Glad; Kerre, Etienne E. 62 2007 Defuzzification: criteria and classification. Zbl 0962.93057Van Leekwijck, Werner; Kerre, Etienne E. 49 1999 Fuzzy rough sets based on residuated lattices. Zbl 1109.68118Radzikowska, Anna Maria; Kerre, Etienne E. 44 2004 A comparative study of similarity measures. Zbl 0852.04011Wang, Xuzhu; De Baets, B.; Kerre, E. 42 1995 Characterizable fuzzy preference structures. Zbl 0907.90012Van de Walle, Bartel; De Baets, Bernard; Kerre, Etienne 40 1998 Order norms on bounded partially ordered sets. Zbl 0814.04005de Cooman, G.; Kerre, E. E. 39 1994 Advances and challenges in interval-valued fuzzy logic. Zbl 1098.03034Cornelis, C.; Deschrijver, G.; Kerre, E. E. 39 2006 Separation axioms, subspaces and sums in fuzzy topology. Zbl 0543.54006Ghanim, M. H.; Kerre, E. E.; Mashhour, A. S. 39 1984 Filters of residuated lattices and triangle algebras. Zbl 1206.03058Van Gasse, B.; Deschrijver, G.; Cornelis, C.; Kerre, E. E. 35 2010 Fuzzy implication operators and generalized fuzzy method of cases. Zbl 0784.68078Ruan, D.; Kerre, E. E. 34 1993 On the representation of intuitionistic fuzzy t-norms and t-conorms. Zbl 1230.03082Deschrijver, Glad; Cornelis, Chris; Kerre, Etienne E. 33 2002 On the characterizations of fuzzy implications satisfying \(I(x,y)=I(x,I(x,y))\). Zbl 1122.03023Shi, Y.; Ruan, D.; Kerre, E. E. 32 2007 On the composition of intuitionistic fuzzy relations. Zbl 1028.03047Deschrijver, Glad; Kerre, Etienne E. 31 2003 Fuzzy preference structures without incomparability. Zbl 0858.90001De Baets, Bernard; Van de Walle, Bartel; Kerre, Etienne 30 1995 Openings and closures of fuzzy preorderings: theoretical basics and applications to fuzzy rule-based systems. Zbl 1110.03048Bodenhofer, Ulrich; De Cock, Martine; Kerre, Etienne E. 30 2003 Implicators based on binary aggregation operators in interval-valued fuzzy set theory. Zbl 1090.03024Deschrijver, Glad; Kerre, Etienne E. 28 2005 Classes of intuitionistic fuzzy t-norms satisfying the residuation principle. Zbl 1074.03022Deschrijver, Glad; Kerre, Etienne E. 28 2003 Triangle algebras: A formal logic approach to interval-valued residuated lattices. Zbl 1174.03028Van Gasse, B.; Cornelis, C.; Deschrijver, G.; Kerre, E. E. 28 2008 A generalisation of operators on intuitionistic fuzzy sets using triangular norms and conorms. Zbl 1228.03026Deschrijver, Glad; Kerre, Etienne E. 26 2002 A plea for the use of Łukasiewicz triplets in the definition of fuzzy preference structures. I: General argumentation. Zbl 0936.91012Van de Walle, Bartel; De Baets, Bernard; Kerre, Etienne 26 1998 Sinha-Dougherty approach to the fuzzification of set inclusion revisited. Zbl 1013.03063Cornelis, Chris; Van der Donck, Carol; Kerre, Etienne 26 2003 An overview of fuzzy quantifiers. I. Interpretations. Zbl 0923.03034Liu, Yaxin; Kerre, Etienne E. 25 1998 Fuzzy techniques in image processing. Zbl 0956.68152 24 2000 The fundamentals of fuzzy mathematical morphology. I: Basic concepts. Zbl 0845.68106De Baets, Bernard; Kerre, Etienne; Gupta, Madan 23 1995 On dependencies and independencies of fuzzy implication axioms. Zbl 1195.03032Shi, Y.; van Gasse, B.; Ruan, D.; Kerre, E. E. 22 2010 Fuzzy Sierpinski space and its generalizations. Zbl 0435.54003Kerre, E. E. 21 1980 Fuzzy relational compositions. Zbl 0794.04004De Baets, B.; Kerre, E. 21 1993 Interval-valued and intuitionistic fuzzy mathematical morphologies as special cases of \(\mathbb{L}\)-fuzzy mathematical morphology. Zbl 1255.68267Sussner, Peter; Nachtegael, Mike; Mélange, Tom; Deschrijver, Glad; Esmi, Estevão; Kerre, Etienne 20 2012 On (un)suitable fuzzy relations to model approximate equality. Zbl 1020.03049De Cock, Martine; Kerre, Etienne 20 2003 On the role of complete lattices in mathematical morphology: from tool to uncertainty model. Zbl 1216.68326Nachtegael, M.; Sussner, P.; Mélange, T.; Kerre, E. E. 19 2011 The fundamentals of fuzzy mathematical morphology. II: Idempotence, convexity and decomposition. Zbl 0845.68107De Baets, Bernard; Kerre, Etienne; Gupta, Madan 19 1995 A fuzzy inclusion based approach to upper inverse images under fuzzy multivalued mappings. Zbl 0904.04008Tsiporkova-Hristoskova, Elena; De Baets, Bernard; Kerre, Etienne 18 1997 Connections between binary, gray-scale and fuzzy mathematical morphologies. Zbl 1015.68217Nachtegael, Mike; Kerre, Etienne E. 18 2001 A characterization of interval-valued residuated lattices. Zbl 1195.03060Van Gasse, B.; Cornelis, C.; Deschrijver, G.; Kerre, E. E. 17 2008 Uninorms in \(L^*\)-fuzzy set theory. Zbl 1058.03056Deschrijver, Glad; Kerre, Etienne E. 17 2004 \(\alpha\)-resolution principle based on first-order lattice-valued logic \(\text{LF}(X)\). Zbl 0997.03006Xu, Yang; Ruan, Da; Kerre, Etienne E.; Liu, Jun 17 2001 Inclusion measures in intuitionistic fuzzy set theory. Zbl 1274.03081Cornelis, Chris; Kerre, Etienne 16 2003 Characterisation of main classes of fuzzy relations using fuzzy modal operators. Zbl 1079.03015Radzikowska, Anna Maria; Kerre, Etienne E. 16 2005 Fuzzy preference structures and their characterization. Zbl 0839.90002De Baets, Bernard; Kerre, Etienne; Van de Walle, Bartel 16 1995 A revision of Bandler-Kohout compositions of relations. Zbl 0772.04002De Baets, B.; Kerre, E. 14 1993 Spatial reasoning in a fuzzy region connection calculus. Zbl 1180.03013Schockaert, Steven; De Cock, Martine; Kerre, Etienne E. 14 2009 Almost compactness and near compactness in smooth topological spaces. Zbl 0833.54007El Gayyar, M. K.; Kerre, E. E.; Ramadan, A. A. 14 1994 Solving systems of linear fuzzy equations by parametric functions – an improved algorithm. Zbl 1121.65026Vroman, Annelies; Deschrijver, Glad; Kerre, Etienne E. 13 2007 Mathematics of fuzziness. Basic issues. Zbl 1159.03002Wang, Xuzhu; Ruan, Da; Kerre, Etienne E. 12 2009 An overview of fuzzy quantifiers. II. Reasoning and applications. Zbl 0923.03035Liu, Yaxin; Kerre, Etienne E. 12 1998 Fuzzy if-then rules in computational intelligence. Theory and applications. Zbl 1027.68118 11 2000 A plea for the use of Łukasiewicz triplets in the definition of fuzzy preference structures. Zbl 1083.91503De Baets, Bernard; Van de Walle, Bartel; Kerre, Etienne 11 1998 Fuzzy modifiers based on fuzzy relations. Zbl 1076.68083De Cock, Martine; Kerre, Etienne E. 11 2004 A primer on solving fuzzy relational equations on the unit interval. Zbl 1232.03039De Baets, Bernard; Kerre, Etienne E. 10 1994 On the first place antitonicity in QL-implications. Zbl 1178.03037Shi, Y.; Van Gasse, B.; Ruan, D.; Kerre, E. E. 10 2008 Aggregation operators in interval-valued fuzzy set theory. Zbl 1201.68118Deschrijver, Glad; Kerre, Etienne 10 2008 On the classification and the dependence of the ordering methods. Zbl 0906.04003Wang, Xuzhu; Kerre, Etienne 9 1996 On the extension of \(\mathbf P\)-consistent mappings. Zbl 0981.28501Boyen, L.; de Cooman, G.; Kerre, E. E. 9 1995 The standard completeness of interval-valued monoidal t-norm based logic. Zbl 1258.03030Van Gasse, B.; Cornelis, C.; Deschrijver, G.; Kerre, E. E. 9 2012 Fuzzy region connection calculus: representing vague topological information. Zbl 1184.68486Schockaert, Steven; De Cock, Martine; Cornelis, Chris; Kerre, Etienne E. 9 2008 The pseudo-linear semantics of interval-valued fuzzy logics. Zbl 1162.03014Van Gasse, B.; Cornelis, C.; Deschrijver, G.; Kerre, E. E. 9 2009 Characterization of normality in fuzzy topological spaces. Zbl 0421.54005Kerre, E. 9 1979 Elicitation of fuzzy association rules from positive and negative examples. Zbl 1085.68169De Cock, M.; Cornelis, C.; Kerre, E. E. 9 2005 Triangular norms and related operators in \(L^*\)-fuzzy set theory. Zbl 1079.03043Deschrijver, Glad; Kerre, Etienne E. 8 2005 Fuzzy region connection calculus: An interpretation based on closeness. Zbl 1184.68487Schockaert, Steven; De Cock, Martine; Cornelis, Chris; Kerre, Etienne E. 8 2008 On the different notions of neighbourhood in Chang-Goguen fuzzy topological spaces. Zbl 0627.54002Kerre, E. E.; Ottoy, P. L. 8 1987 The generalized modus ponens and the triangular fuzzy data model. Zbl 0799.03021de Baets, B.; Kerre, E. E. 8 1993 A bilattice-based framework for handling graded truth and imprecision. Zbl 1121.03073Deschrijver, Glad; Arieli, Ofer; Cornelis, Chris; Kerre, Etienne E. 8 2007 On the properties of a generalized class of t-norms in interval-valued fuzzy logics. Zbl 1102.03031Van Gasse, Bart; Cornelis, Chris; Deschrijver, Glad; Kerre, Etienne E. 8 2006 Possibility theory: An integral theoretic approach. Zbl 0772.28008De Cooman, G.; Kerre, E. E.; Vanmassenhove, F. R. 7 1992 The cutting of compositions. Zbl 0831.04006De Baets, B.; Kerre, E. 7 1994 The dependency-preserving decomposition and a testing algorithm in a fuzzy relational data model. Zbl 0846.68027Chen, Guoqing; Kerre, Etienne E.; Vandenbulcke, Jacques 7 1995 Possibility and necessity integrals. Zbl 0872.28010de Cooman, Gert; Kerre, Etienne E. 7 1996 \(\alpha\)-resolution principle based on lattice-valued propositional logic \(\text{LP} (X)\). Zbl 0987.03010Xu, Yang; Ruan, Da; Kerre, Etienne E.; Liu, Jun 7 2000 Fuzzy filters for image processing. Zbl 1020.68100 7 2003 On L–fuzzy rough sets. Zbl 1058.68666Radzikowska, Anna Maria; Kerre, Etienne E. 6 2004 Ample fields. Zbl 0799.28012De Cooman, G.; Kerre, E. E. 6 1993 A context-based approach to linguistic hedges. Zbl 1062.68123De Cock, Martine; Kerre, Etienne E. 6 2002 Fuzzy reasoning based on the extension principle. Zbl 0992.68207Xu, Yang; Kerre, Etienne E.; Ruan, Da; Song, Zhenming 6 2001 A Daniell-Kolmogorov theorem for supremum preserving upper probabilities. Zbl 0941.60005Janssen, Hugo; de Cooman, Gert; Kerre, Etienne E. 5 1999 Smets-Magrez axioms for R-implicators in interval-valued and intuitionistic fuzzy set theory. Zbl 1122.03047Deschrijver, Glad; Kerre, Etienne E. 5 2005 A triparametric family of cardinality-based fuzzy similarity measures. Zbl 1124.03025Bosteels, Klaas; Kerre, Etienne E. 5 2007 A call for crispness in fuzzy set theory. Zbl 0659.94025Kerre, Etienne E. 5 1989 Operations on the class of fuzzy sets on a universe endowed with a fuzzy topology. Zbl 0805.54008Kerre, E. E.; Nouh, A. A.; Kandil, A. 5 1993 Kite-tail lattices and their characterization. Zbl 0806.06007de Baets, B.; Kerre, E. 5 1993 On \(\alpha\)-generated fuzzy topologies. Zbl 0735.54005Kerre, E. E.; Ottoy, P. L. 5 1990 Imprecise temporal interval relations. Zbl 1168.68582Schockaert, Steven; De Cock, Martine; Kerre, Etienne E. 5 2006 A detailed study of direct and inverse images under fuzzy multivalued mappings. Zbl 0869.54010Tsiporkova-Hristoskova, Elena; De Baets, Bernard; Kerre, Etienne 5 1995 Continuity of fuzzy multivalued mappings. Zbl 0916.54007Tsiporkova, Elena; De Baets, Bernard; Kerre, Etienne 5 1998 A first view on the alternatives of fuzzy set theory. Zbl 1007.03046Kerre, E. E. 5 2001 Lattice properties of neighbourhood systems in Chang fuzzy topological spaces. Zbl 0683.54015Kerre, Etienne E.; Ottoy, Peter L. 5 1989 Gödel representable fuzzy weak orders. Zbl 1087.03513De Baets, Bernard; Fodor, János; Kerre, Etienne 5 1999 Bilattice-based squares and triangles. Zbl 1122.03310Arieli, Ofer; Cornelis, Chris; Deschrijver, Glad; Kerre, Etienne 5 2005 Fuzzy logical operators on finite chains. Zbl 0957.03033Nachtegael, Mike; Kerre, Etienne E. 5 2000 Influence of the fuzzy implication operator on the method-of-cases inference rule. Zbl 0697.68082Da, Ruan; Kerre, E. E.; De Cooman, G.; Cappelle, B.; Vanmassenhove, F. 4 1990 A solution for systems of linear fuzzy equations in spite of the non-existence of a field of fuzzy numbers. Zbl 1077.03033Vroman, Annelies; Deschrijver, Glad; Kerre, Etienne E. 4 2005 A new approach to information retrieval systems using fuzzy expressions. Zbl 0578.68090Zenner, Rembrand B. R. C.; De Caluwe, Rita M. M.; Kerre, Etienne E. 4 1985 On co-optimal lifts in the category of fuzzy neighbourhood spaces. Zbl 0867.54010Kerre, Etienne E.; Morsi, Nehad N. 4 1995 Why fuzzy \(\mathcal T\)-equivalence relations do not resolve the Poincaré paradox, and related issues. Zbl 1020.03054De Cock, Martine; Kerre, Etienne 4 2003 Additive generators based on generalized arithmetic operators in interval-valued fuzzy and Atanassov’s intuitionistic fuzzy set theory. Zbl 1370.03070Deschrijver, Glad; Kerre, Etienne E. 1 2016 The role a fuzzy implication plays in a multi-criteria decision algorithm. Zbl 1284.03251Shi, Yun; Van Gasse, Bart; Kerre, Etienne 3 2013 Fuzzy implications: classification and a new class. Zbl 1303.03059Shi, Yun; van Gasse, Bart; Kerre, Etienne E. 2 2013 Interval-valued and intuitionistic fuzzy mathematical morphologies as special cases of \(\mathbb{L}\)-fuzzy mathematical morphology. Zbl 1255.68267Sussner, Peter; Nachtegael, Mike; Mélange, Tom; Deschrijver, Glad; Esmi, Estevão; Kerre, Etienne 20 2012 The standard completeness of interval-valued monoidal t-norm based logic. Zbl 1258.03030Van Gasse, B.; Cornelis, C.; Deschrijver, G.; Kerre, E. E. 9 2012 On the role of complete lattices in mathematical morphology: from tool to uncertainty model. Zbl 1216.68326Nachtegael, M.; Sussner, P.; Mélange, T.; Kerre, E. E. 19 2011 The impact of fuzzy set theory on contemporary mathematics. Zbl 1223.03002Kerre, Etienne E. 3 2011 On the construction of interval-valued fuzzy morphological operators. Zbl 1236.68285Mélange, Tom; Nachtegael, Mike; Sussner, Peter; Kerre, Etienne E. 3 2011 Fuzzy random impulse noise removal from color image sequences. Zbl 1372.94177Mélange, Tom; Nachtegael, Mike; Kerre, Etienne E. 2 2011 A tribute to Zadeh’s extension principle. Zbl 1261.03150Kerre, E. E. 1 2011 Filters of residuated lattices and triangle algebras. Zbl 1206.03058Van Gasse, B.; Deschrijver, G.; Cornelis, C.; Kerre, E. E. 35 2010 On dependencies and independencies of fuzzy implication axioms. Zbl 1195.03032Shi, Y.; van Gasse, B.; Ruan, D.; Kerre, E. E. 22 2010 On a new class of implications in fuzzy logic. Zbl 1207.03035Shi, Yun; Van Gasse, Bart; Ruan, Da; Kerre, Etienne 3 2010 An improved representation theorem of \(L\)-fuzzy sets. Zbl 1214.03041Meng, Lingxian; Wang, Xuzhu; Kerre, Etienne 3 2010 Reasoning with fuzzy temporal and spatial information from the web. Zbl 1213.68628Schockaert, Steven; De Cock, Martine; Kerre, Etienne 2 2010 Spatial reasoning in a fuzzy region connection calculus. Zbl 1180.03013Schockaert, Steven; De Cock, Martine; Kerre, Etienne E. 14 2009 Mathematics of fuzziness. Basic issues. Zbl 1159.03002Wang, Xuzhu; Ruan, Da; Kerre, Etienne E. 12 2009 The pseudo-linear semantics of interval-valued fuzzy logics. Zbl 1162.03014Van Gasse, B.; Cornelis, C.; Deschrijver, G.; Kerre, E. E. 9 2009 Fuzzy adjunctions and fuzzy morphological operations based on implications. Zbl 1192.68790Shi, Y.; Nachtegael, M.; Ruan, D.; Kerre, E. E. 1 2009 Part special issue: Recent advances in soft computing in image processing. Selected papers based on the presentations at the conference FUZZ-IEEE 206, Vancouver, Canada, July 2006. Zbl 1198.68053 1 2009 On a reflexivity-preserving family of cardinality-based fuzzy comparison measures. Zbl 1173.03041Bosteels, Klaas; Kerre, Etienne E. 1 2009 Triangle algebras: A formal logic approach to interval-valued residuated lattices. Zbl 1174.03028Van Gasse, B.; Cornelis, C.; Deschrijver, G.; Kerre, E. E. 28 2008 A characterization of interval-valued residuated lattices. Zbl 1195.03060Van Gasse, B.; Cornelis, C.; Deschrijver, G.; Kerre, E. E. 17 2008 On the first place antitonicity in QL-implications. Zbl 1178.03037Shi, Y.; Van Gasse, B.; Ruan, D.; Kerre, E. E. 10 2008 Aggregation operators in interval-valued fuzzy set theory. Zbl 1201.68118Deschrijver, Glad; Kerre, Etienne 10 2008 Fuzzy region connection calculus: representing vague topological information. Zbl 1184.68486Schockaert, Steven; De Cock, Martine; Cornelis, Chris; Kerre, Etienne E. 9 2008 Fuzzy region connection calculus: An interpretation based on closeness. Zbl 1184.68487Schockaert, Steven; De Cock, Martine; Cornelis, Chris; Kerre, Etienne E. 8 2008 On the position of intuitionistic fuzzy set theory in the framework of theories modelling imprecision. Zbl 1121.03074Deschrijver, Glad; Kerre, Etienne E. 62 2007 On the characterizations of fuzzy implications satisfying \(I(x,y)=I(x,I(x,y))\). Zbl 1122.03023Shi, Y.; Ruan, D.; Kerre, E. E. 32 2007 Solving systems of linear fuzzy equations by parametric functions – an improved algorithm. Zbl 1121.65026Vroman, Annelies; Deschrijver, Glad; Kerre, Etienne E. 13 2007 A bilattice-based framework for handling graded truth and imprecision. Zbl 1121.03073Deschrijver, Glad; Arieli, Ofer; Cornelis, Chris; Kerre, Etienne E. 8 2007 A triparametric family of cardinality-based fuzzy similarity measures. Zbl 1124.03025Bosteels, Klaas; Kerre, Etienne E. 5 2007 Fuzzy logic. A spectrum of theoretical and practical issues. Zbl 1117.03009 3 2007 A biparametric family of cardinality-based fuzzy similarity measures. Zbl 1158.03035Bosteels, Klaas; Kerre, Etienne E. 3 2007 Soft computing in image processing. Recent advances. Zbl 1110.68159 2 2007 An overview of fuzzy relational calculus and its applications. Zbl 1181.03054Kerre, Etienne E. 2 2007 Advances and challenges in interval-valued fuzzy logic. Zbl 1098.03034Cornelis, C.; Deschrijver, G.; Kerre, E. E. 39 2006 On the properties of a generalized class of t-norms in interval-valued fuzzy logics. Zbl 1102.03031Van Gasse, Bart; Cornelis, Chris; Deschrijver, Glad; Kerre, Etienne E. 8 2006 Imprecise temporal interval relations. Zbl 1168.68582Schockaert, Steven; De Cock, Martine; Kerre, Etienne E. 5 2006 Fuzzy information relations and operators: An algebraic approach based on residuated lattices. Zbl 1177.68211Radzikowska, Anna Maria; Kerre, Etienne E. 2 2006 Triangle algebras: Towards an axiomatization of interval-valued residuated lattices. Zbl 1162.03321Van Gasse, Bart; Cornelis, Chris; Deschrijver, Glad; Kerre, Etienne 2 2006 Implicators based on binary aggregation operators in interval-valued fuzzy set theory. Zbl 1090.03024Deschrijver, Glad; Kerre, Etienne E. 28 2005 Characterisation of main classes of fuzzy relations using fuzzy modal operators. Zbl 1079.03015Radzikowska, Anna Maria; Kerre, Etienne E. 16 2005 Elicitation of fuzzy association rules from positive and negative examples. Zbl 1085.68169De Cock, M.; Cornelis, C.; Kerre, E. E. 9 2005 Triangular norms and related operators in \(L^*\)-fuzzy set theory. Zbl 1079.03043Deschrijver, Glad; Kerre, Etienne E. 8 2005 Smets-Magrez axioms for R-implicators in interval-valued and intuitionistic fuzzy set theory. Zbl 1122.03047Deschrijver, Glad; Kerre, Etienne E. 5 2005 Bilattice-based squares and triangles. Zbl 1122.03310Arieli, Ofer; Cornelis, Chris; Deschrijver, Glad; Kerre, Etienne 5 2005 A solution for systems of linear fuzzy equations in spite of the non-existence of a field of fuzzy numbers. Zbl 1077.03033Vroman, Annelies; Deschrijver, Glad; Kerre, Etienne E. 4 2005 A historical overview of fuzzy mathematics. Zbl 1069.03050Kerre, Etienne E.; Mordeson, John N. 2 2005 On the cuts of intuitionistic fuzzy compositions. Zbl 1207.03063Deschrijver, Glad; Kerre, Etienne E. 1 2005 Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application. Zbl 1075.68089Cornelis, Chris; Deschrijver, Glad; Kerre, Etienne E. 102 2004 Fuzzy rough sets based on residuated lattices. Zbl 1109.68118Radzikowska, Anna Maria; Kerre, Etienne E. 44 2004 Uninorms in \(L^*\)-fuzzy set theory. Zbl 1058.03056Deschrijver, Glad; Kerre, Etienne E. 17 2004 Fuzzy modifiers based on fuzzy relations. Zbl 1076.68083De Cock, Martine; Kerre, Etienne E. 11 2004 On L–fuzzy rough sets. Zbl 1058.68666Radzikowska, Anna Maria; Kerre, Etienne E. 6 2004 Shortest paths in fuzzy weighted graphs. Zbl 1101.68723Cornelis, Chris; De Kesel, Peter; Kerre, Etienne E. 1 2004 Computationally efficient mining for fuzzy implication-based association rules in quantitative databases. Zbl 1089.68585Chen, Guoqing; Yan, Peng; Kerre, Etienne E. 1 2004 On the relationship between some extensions of fuzzy set theory. Zbl 1013.03065Deschrijver, Glad; Kerre, Etienne E. 191 2003 On the composition of intuitionistic fuzzy relations. Zbl 1028.03047Deschrijver, Glad; Kerre, Etienne E. 31 2003 Openings and closures of fuzzy preorderings: theoretical basics and applications to fuzzy rule-based systems. Zbl 1110.03048Bodenhofer, Ulrich; De Cock, Martine; Kerre, Etienne E. 30 2003 Classes of intuitionistic fuzzy t-norms satisfying the residuation principle. Zbl 1074.03022Deschrijver, Glad; Kerre, Etienne E. 28 2003 Sinha-Dougherty approach to the fuzzification of set inclusion revisited. Zbl 1013.03063Cornelis, Chris; Van der Donck, Carol; Kerre, Etienne 26 2003 On (un)suitable fuzzy relations to model approximate equality. Zbl 1020.03049De Cock, Martine; Kerre, Etienne 20 2003 Inclusion measures in intuitionistic fuzzy set theory. Zbl 1274.03081Cornelis, Chris; Kerre, Etienne 16 2003 Fuzzy filters for image processing. Zbl 1020.68100 7 2003 Why fuzzy \(\mathcal T\)-equivalence relations do not resolve the Poincaré paradox, and related issues. Zbl 1020.03054De Cock, Martine; Kerre, Etienne 4 2003 Square and triangle: reflections on two prominent mathematical structures for the representation of imprecision. Zbl 1166.03319Cornelis, Chris; Deschrijver, Glad; Kerre, Etienne E. 2 2003 Using similarity measures for histogram comparison. Zbl 1037.68793Van der Weken, Dietrich; Nachtegael, Mike; Kerre, Etienne 2 2003 On the Cartesian product of intuitionistic fuzzy sets. Zbl 1040.03040Deschrijver, Glad; Kerre, Etienne 2 2003 A new similarity measure for image processing. Zbl 1064.94511Van der Weken, Dietrich; Nachtegael, Mike; Kerre, Etienne E. 1 2003 Practical implementation of possibilistic probability mass functions. Zbl 1088.68796Gilbert, L.; de Cooman, G.; Kerre, E. E. 1 2003 On fuzzy regular semi open sets and \(\alpha S^*\)-closed fuzzy topological spaces. Zbl 1028.54005Kerre, E. E.; Fath Alla, M. A. 1 2003 A fuzzy generalisation of information relations. Zbl 1036.68114Radzikowska, Anna Maria; Kerre, Etienne E. 1 2003 A comparative study of fuzzy rough sets. Zbl 1004.03043Radzikowska, Anna Maria; Kerre, Etienne E. 218 2002 On the representation of intuitionistic fuzzy t-norms and t-conorms. Zbl 1230.03082Deschrijver, Glad; Cornelis, Chris; Kerre, Etienne E. 33 2002 A generalisation of operators on intuitionistic fuzzy sets using triangular norms and conorms. Zbl 1228.03026Deschrijver, Glad; Kerre, Etienne E. 26 2002 A context-based approach to linguistic hedges. Zbl 1062.68123De Cock, Martine; Kerre, Etienne E. 6 2002 A fuzzy ordering on multi-dimensional fuzzy sets induced from convex cones. Zbl 1016.03055Yoshida, Yuji; Kerre, Etienne E. 3 2002 On the relationship between intuitionistic fuzzy sets and some other extensions of fuzzy set theory. Zbl 1013.03066Deschrijver, Glad; Kerre, Etienne E. 3 2002 Fuzzy relational images in computer science. Zbl 1027.68701Nachtegael, Mike; De Cock, Martine; Van der Weken, Dietrich; Kerre, Etienne E. 1 2002 A fuzzy-rough approach to the representation of linguistic hedges. Zbl 1009.68154De Cock, Martine; Radzikowska, Anna Maria; Kerre, Etienne E. 1 2002 Reasonable properties for the ordering of fuzzy quantities. I. Zbl 0971.03054Wang, Xuzhu; Kerre, Etienne E. 151 2001 Reasonable properties for the ordering of fuzzy quantities. II. Zbl 0971.03055Wang, Xuzhu; Kerre, Etienne E. 100 2001 Connections between binary, gray-scale and fuzzy mathematical morphologies. Zbl 1015.68217Nachtegael, Mike; Kerre, Etienne E. 18 2001 \(\alpha\)-resolution principle based on first-order lattice-valued logic \(\text{LF}(X)\). Zbl 0997.03006Xu, Yang; Ruan, Da; Kerre, Etienne E.; Liu, Jun 17 2001 Fuzzy reasoning based on the extension principle. Zbl 0992.68207Xu, Yang; Kerre, Etienne E.; Ruan, Da; Song, Zhenming 6 2001 A first view on the alternatives of fuzzy set theory. Zbl 1007.03046Kerre, E. E. 5 2001 Ample fields as a basis for possibilistic processes. Zbl 1023.94027Janssen, H. J.; de Cooman, G.; Kerre, E. E. 4 2001 Possibility measures and possibility integrals defined on a complete lattice. Zbl 1017.28010de Cooman, Gert; Zhang, Guangquan; Kerre, Etienne E. 4 2001 Fuzzy topologies induced by fuzzy relation based modifiers. Zbl 1043.03521De Cock, Martine; Kerre, E. E. 3 2001 Continuity focused choice of maxima: Yet another defuzzification method. Zbl 1012.93035Van Leekwijck, Werner; Kerre, Etienne E. 3 2001 On smooth topological spaces. II: Separation axioms. Zbl 0984.54003El-Gayyar, M. K.; Kerre, E. E.; Ramadan, A. A. 2 2001 Inclusion-based approximate reasoning. Zbl 0983.68654Cornelis, Chris; Kerre, Etienne E. 1 2001 Fuzzy interval analysis. Zbl 0988.26020Dubois, Didier; Kerre, Etienne; Mesiar, Radko; Prade, Henri 85 2000 Fuzzy techniques in image processing. Zbl 0956.68152 24 2000 Fuzzy if-then rules in computational intelligence. Theory and applications. Zbl 1027.68118 11 2000 \(\alpha\)-resolution principle based on lattice-valued propositional logic \(\text{LP} (X)\). Zbl 0987.03010Xu, Yang; Ruan, Da; Kerre, Etienne E.; Liu, Jun 7 2000 Fuzzy logical operators on finite chains. Zbl 0957.03033Nachtegael, Mike; Kerre, Etienne E. 5 2000 Images under fuzzy relations: A master-key to fuzzy applications. Zbl 0991.03049de Cock, Martine; Nachtegael, Mike; Kerre, Etienne E. 2 2000 Coherence of Dempster’s conditioning rule in discrete possibilistic Markov models. Zbl 1113.68521Janssen, Hugo J.; de Cooman, Gert; Kerre, Etienne E. 1 2000 ...and 65 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,933 Authors 76 Kerre, Etienne E. 51 De Baets, Bernard 33 Deschrijver, Glad 30 Bedregal, Benjamín René Callejas 26 Cornelis, Chris 26 Mesiar, Radko 25 Hu, Baoqing 24 Bustince, Humberto 21 Montes, Susana 20 Dubois, Didier 19 Saadati, Reza 18 Xu, Yang 14 Díaz, Susana 14 Torrens, Joan 14 Wu, Weizhi 13 Bloch, Isabelle 13 Fernández Fernández, Francisco Javier 13 Qin, Keyun 13 Ruan, Da 13 Wang, Chunyong 13 Xu, Zeshui 12 Chen, Degang 12 Massanet, Sebastià 12 Prade, Henri M. 12 Reiser, Renata Hax Sander 12 Wang, Zhudeng 11 Barrenechea, Edurne 11 de Cooman, Gert 11 Dimuro, Graçaliz Pereira 11 He, Xingxing 11 Sussner, Peter 11 Van Gasse, Bart 10 Baczynski, Michal 10 Liu, Xinwang 10 Mi, Jusheng 10 Pagola, Miguel 10 Štěpnička, Martin 9 Allahviranloo, Tofigh 9 Bodenhofer, Ulrich 9 Davvaz, Bijan 9 Li, Dengfeng 9 Li, Qingguo 9 Li, Yingfang 9 Liu, Jun 9 Šostak, Alexander P. 9 Yager, Ronald R. 9 Zhang, Haidong 8 Borumand Saeid, Arsham 8 De Cock, Martine 8 Fahmi, Aliya 8 Holcapek, Michal 8 Medina, Jesús 8 Schockaert, Steven 8 Takáč, Zdenko 8 Zahiri, Saeide 7 De Meyer, Hans E. 7 Ghatee, Mehdi 7 Ghosh, Debdas 7 Li, Hongxing 7 Li, Zhaowen 7 Liu, Huawen 7 Luo, Minxia 7 Mashinchi, Mashallah 7 Morsi, Nehad Nashaat 7 Paternain, Daniel 7 Pȩkala, Barbara 7 Tepavčević, Andreja 7 Yang, Miin-Shen 7 Yoshida, Yuji 7 Zhan, Jianming 7 Zhang, Wenxiu 6 Abbas, Salah El-Deen 6 Abdullah, Saleem 6 Amin, Fazli 6 Beg, Ismat 6 Cho, Yeol Je 6 Chu, Tachung 6 Daňková, Martina 6 Fono, Louis Aimé 6 Ghanim, Mohammad H. 6 Jayaram, Balasubramaniam 6 Li, Tongjun 6 Liu, Guilong 6 Meng, Dan 6 Nachtegael, Mike 6 Novák, Vilém 6 Ouyang, Yao 6 Palmeira, Eduardo Silva 6 Parchami, Abbas 6 Qiao, Junsheng 6 Ramadan, Ahmed Abd El-Kader 6 Šešelja, Branimir 6 Shi, Yun 6 Shu, Lan 6 Su, Yong 6 Yang, Yingjie 6 Zhang, Xiaohong 6 Zhang, Zhiming 5 Ashraf, Samina 5 Chen, Shuwei ...and 1,833 more Authors all top 5 Cited in 151 Serials 448 Fuzzy Sets and Systems 210 Information Sciences 119 International Journal of Approximate Reasoning 100 Soft Computing 52 Journal of Intelligent and Fuzzy Systems 47 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 32 Computers & Mathematics with Applications 26 Iranian Journal of Fuzzy Systems 25 International Journal of General Systems 19 Kybernetika 19 Fuzzy Optimization and Decision Making 19 Fuzzy Information and Engineering 17 European Journal of Operational Research 16 New Mathematics and Natural Computation 13 Chaos, Solitons and Fractals 12 Applied Mathematical Modelling 11 Journal of Applied Mathematics 10 Computational and Applied Mathematics 10 Mathematical Problems in Engineering 9 International Journal of Intelligent Systems 9 Symmetry 8 Applied Mathematics and Computation 8 Journal of Applied Mathematics and Computing 8 Advances in Fuzzy Systems 8 Afrika Matematika 7 Journal of Mathematical Imaging and Vision 7 Complexity 6 Artificial Intelligence 6 Journal of Computer and System Sciences 6 Mathematical and Computer Modelling 6 Pattern Recognition 6 Filomat 6 Mathematical Sciences 5 Journal of Mathematical Analysis and Applications 5 Computers & Operations Research 5 Journal of Applied Non-Classical Logics 5 Abstract and Applied Analysis 4 International Journal of Mathematics and Mathematical Sciences 4 Journal of Computational and Applied Mathematics 4 Journal of Information & Optimization Sciences 4 Annals of Operations Research 4 Journal of Inequalities and Applications 4 Journal of Multiple-Valued Logic and Soft Computing 4 Fixed Point Theory and Applications 4 Axioms 4 Mathematics 4 International Journal of Applied and Computational Mathematics 4 Korean Journal of Mathematics 3 International Journal of Systems Science 3 Studia Logica 3 Theoretical Computer Science 3 Social Choice and Welfare 3 International Journal of Computer Mathematics 3 Annals of Mathematics and Artificial Intelligence 3 CEJOR. 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(English Edition) 1 International Journal of Production Research 1 Order ...and 51 more Serials all top 5 Cited in 40 Fields 777 Mathematical logic and foundations (03-XX) 511 Computer science (68-XX) 225 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 187 General topology (54-XX) 168 Operations research, mathematical programming (90-XX) 136 Order, lattices, ordered algebraic structures (06-XX) 69 Statistics (62-XX) 68 Information and communication theory, circuits (94-XX) 48 Systems theory; control (93-XX) 40 Measure and integration (28-XX) 32 Difference and functional equations (39-XX) 30 Probability theory and stochastic processes (60-XX) 25 Numerical analysis (65-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 23 Real functions (26-XX) 18 Operator theory (47-XX) 17 Functional analysis (46-XX) 16 Group theory and generalizations (20-XX) 15 Category theory; homological algebra (18-XX) 9 General algebraic systems (08-XX) 6 Biology and other natural sciences (92-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Associative rings and algebras (16-XX) 4 Ordinary differential equations (34-XX) 4 Approximations and expansions (41-XX) 4 Quantum theory (81-XX) 3 Sequences, series, summability (40-XX) 3 Geometry (51-XX) 2 General and overarching topics; collections (00-XX) 2 Integral transforms, operational calculus (44-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year