Edit Profile (opens in new tab) Di Nola, Antonio Compute Distance To: Compute Author ID: di-nola.antonio Published as: Di Nola, Antonio; Di Nola, A.; di Nola, Antonio; di Nola, A. more...less Homepage: https://docenti.unisa.it/003255/en/curriculum External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 208 Publications since 1977, including 1 Book 4 Contributions as Editor Reviewing Activity: 52 Reviews Biographic References: 2 Publications Co-Authors: 78 Co-Authors with 205 Joint Publications 1,801 Co-Co-Authors all top 5 Co-Authors 7 single-authored 51 Sessa, Salvatore 26 Lenzi, Giacomo 26 Pedrycz, Witold 25 Lettieri, Ada 23 Belluce, Lawrence Peter 20 Grigolia, Revaz 15 Ventre, Aldo Giuseppe Saverio 14 Dvurečenskij, Anatolij 11 Georgescu, George 11 Vitale, Gaetano 9 Gerla, Brunella 8 Leuştean, Ioana 5 Gerla, Giangiacomo 4 Ferraioli, Anna Rita 4 Kołodziejczyk, Waldemar 4 Lapenta, Serafina 4 Russo, Ciro 4 Spada, Luca 3 Amato, Paolo 3 Ciaramella, Angelo 3 Esteva, Francesc 3 Godo, Lluís 3 Manara, Corrado 3 Navara, Mirko 3 Tagliaferri, Roberto 3 Wang, Peizhuang 2 Bede, Barnabás 2 Flondor, Paul 2 Garcia, Pere 2 Hyčko, Marek 2 Iorgulescu, Afrodita 2 Leuştean, Laurenţiu 2 Liparteliani, Ramaz 2 Mitskevich, Nunu 2 Nam, Tran Giang 2 Sanchez, Elie 1 Aguzzoli, Stefano 1 Bělohlávek, Radim 1 Boccuto, Antonio 1 Borzooei, Rajab Ali 1 Ciabattoni, Agata 1 Cignoli, Roberto 1 Csuhaj-Varjú, Erzsébet 1 Daňková, Martina 1 Esposito, I. 1 Fadini, Angelo 1 Giuntini, Roberto 1 Guo, Sizhong 1 Higashi, Masahiko 1 Holcapek, Michal 1 Jakubík, Ján 1 Jenča, Gejza 1 Kreinovich, Vladik Yakovlevich 1 Liguori, Fortunata 1 Linawaty, Maria 1 Loia, Vincenzo 1 Marchioni, Enrico 1 Martini, Giulia Barbara 1 Montagna, Franco 1 Mundici, Daniele 1 Nguyen, Hung Trung 1 Niederkorn, Philippe 1 Nobuhara, Hajime 1 Novák, Vilém 1 Panti, Giovanni 1 Păun, Gheorghe 1 Pedaci, Immacolata 1 Pérez-Jiménez, Mario J. 1 Perfilieva, Irina G. 1 Russo, Anna Carla 1 Scozzafava, Romano 1 Shenavaei, M. 1 Staiano, Antonino 1 Toffalori, Carlo 1 Tsinakis, Constantine 1 Ursini, Aldo 1 Vaszil, Gyorgy 1 Zahiri, Omid all top 5 Serials 19 Fuzzy Sets and Systems 11 Bulletin pour les Sous Ensembles Flous et Leurs Applications 8 Soft Computing 7 Algebra Universalis 7 International Journal of Approximate Reasoning 6 Journal of Mathematical Analysis and Applications 6 Mathematica Slovaca 6 Annals of Pure and Applied Logic 6 Mathematical Logic Quarterly (MLQ) 5 Information Sciences 5 Journal of Algebra 5 Studia Logica 5 Order 5 Journal of Logic and Computation 5 Archive for Mathematical Logic 4 Communications in Algebra 4 Kybernetes 4 Stochastica 4 Azerbaijan Journal of Mathematics 3 Discrete Mathematics 3 International Journal of General Systems 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Multiple-Valued Logic 2 The Journal of Symbolic Logic 2 Kybernetika 2 Ricerche di Matematica 2 La Ricerca. Matemàtiche Pure ed Applicate 2 International Journal of Intelligent Systems 2 Tatra Mountains Mathematical Publications 2 Journal of Applied Non-Classical Logics 2 Journal of Multiple-Valued Logic and Soft Computing 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Economic Computation and Economic Cybernetics Studies and Research 1 Glasgow Mathematical Journal 1 Journal of Combinatorics, Information & System Sciences 1 Journal of Pure and Applied Algebra 1 Mathematica Japonica 1 Portugaliae Mathematica 1 RAIRO, Automatique, Systems Analysis and Control 1 Simon Stevin 1 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 1 Cybernetics and Systems 1 Forum Mathematicum 1 Linear Algebra and its Applications 1 Studia Universitatis Babeș-Bolyai. Mathematica 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Applied Categorical Structures 1 The Journal of Fuzzy Mathematics 1 Annals of Mathematics and Artificial Intelligence 1 Logic Journal of the IGPL 1 Fundamenta Informaticae 1 Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Journal of the Australian Mathematical Society 1 Journal of Algebra and its Applications 1 Journal of Applied Logic 1 Fuzzy Optimization and Decision Making 1 Theory and Decision Library. Series D: System Theory, Knowledge Engineering and Problem Solving 1 Advances in Soft Computing 1 Journal of Logic and Analysis 1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle (RAIRO). Informatique 1 Transactions of A. Razmadze Mathematical Institute 1 Categories and General Algebraic Structures with Applications 1 Journal of Applied Logics - IfCoLog Journal of Logics and their Applications all top 5 Fields 132 Mathematical logic and foundations (03-XX) 130 Order, lattices, ordered algebraic structures (06-XX) 33 Information and communication theory, circuits (94-XX) 24 Computer science (68-XX) 14 General algebraic systems (08-XX) 10 Associative rings and algebras (16-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Systems theory; control (93-XX) 7 General topology (54-XX) 6 Category theory; homological algebra (18-XX) 6 Measure and integration (28-XX) 6 Functional analysis (46-XX) 5 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 155 Publications have been cited 1,654 times in 895 Documents Cited by ▼ Year ▼ Fuzzy relation equations and their applications to knowledge engineering. Foreword by Lotfi A. Zadeh. Zbl 0694.94025Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold; Sanchez, Elie 149 1989 Pseudo-BL algebras. I. Zbl 1028.06007Di Nola, Antonio; Georgescu, George; Iorgulescu, Afrodita 97 2002 Pseudo-BL algebras. II. Zbl 1028.06008Di Nola, Antonio; Georgescu, George; Iorgulescu, Afrodita 66 2002 Perfect MV-algebras are categorically equivalent to Abelian \(l\)-groups. Zbl 0812.06010Di Nola, Antonio; Lettieri, Ada 58 1994 State-morphism MV-algebras. Zbl 1186.06007Di Nola, Antonio; Dvurečenskij, Anatolij 42 2009 On monadic MV-algebras. Zbl 1052.06010Di Nola, Antonio; Grigolia, Revaz 39 2004 Equational characterization of all varieties of MV-algebras. Zbl 0946.06009Di Nola, Antonio; Lettieri, Ada 34 1999 Algebraic analysis of fuzzy systems. Zbl 1110.93012Di Nola, Antonio; Lettieri, Ada; Perfilieva, Irina; Novák, Vilém 31 2007 Algebras of Lukasiewicz’s logic and their semiring reducts. Zbl 1081.06009Di Nola, A.; Gerla, B. 31 2005 Local MV-algebras. Zbl 0817.06011Belluce, L. P.; Di Nola, A.; Lettieri, A. 31 1993 Product MV-algebras. Zbl 1016.06006Di Nola, A.; Dvurecenskij, A. 29 2001 Compact representations of BL-algebras. Zbl 1040.03048Di Nola, Antonio; Leuştean, Laurenţiu 28 2003 Fuzzy relation equation under a class of triangular norms: A survey and new results. Zbl 0581.04002Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore; Wang, Peizhuang 26 1984 On the set of solutions of composite fuzzy relation equations. Zbl 0514.94027Di Nola, Antonio; Sessa, Salvatore 25 1983 Relational equations in totally ordered lattices and their complete resolution. Zbl 0588.04006Di Nola, Antonio 25 1985 Fuzzy relation equations theory as a basis of fuzzy modelling: An overview. Zbl 0727.04005Di Nola, A.; Pedrycz, W.; Sessa, S.; Sanchez, E. 24 1991 Representation and reticulation by quotients of MV-algebras. Zbl 0767.06013Di Nola, Antonio 23 1991 On varieties of MV-algebras with internal states. Zbl 1213.06006Di Nola, A.; Dvurečenskij, A.; Lettieri, A. 23 2010 Lattice valued algebras. Zbl 0681.08002Di Nola, A.; Gerla, Giangiacomo 23 1987 Łukasiewicz transform and its application to compression and reconstruction of digital images. Zbl 1114.06009Di Nola, A.; Russo, C. 22 2007 Łukasiewicz logic and Riesz spaces. Zbl 1331.06004Di Nola, Antonio; Leuştean, Ioana 20 2014 Further contributions to the study of finite fuzzy relation equations. Zbl 0645.04003Guo, Sizhong; Wang, Peizhuang; Di Nola, A.; Sessa, S. 20 1988 Boolean products of BL-algebras. Zbl 0966.03055Di Nola, Antonio; Georgescu, George; Leuştean, Laurenţiu 19 2000 How many lower solutions does a fuzzy relation equation have? Zbl 0581.04001Wang, Peizhuang; Sessa, Salvatore; Di Nola, Antonio; Pedrycz, Witold 19 1984 One chain generated varieties of MV-algebras. Zbl 0949.06004Di Nola, Antonio; Lettieri, Ada 18 2000 Good and bad infinitesimals, and states on pseudo MV-algebras. Zbl 1081.06010Di Nola, Antonio; Dvurečenskij, Anatolij; Jakubík, Ján 17 2004 Łukasiewicz logic and MV-algebras. Zbl 1284.03178Di Nola, Antonio; Leuştean, Ioana 17 2011 On the fuzziness of solutions of sigma-fuzzy relation equations on finite spaces. Zbl 0523.04002Di Nola, Antonio; Sessa, Salvatore 16 1983 When is a fuzzy relation decomposable in two fuzzy sets? Zbl 0576.08001Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore 16 1985 Approximation by pseudo-linear operators. Zbl 1173.41010Bede, Barnabás; Nobuhara, Hajime; Daňková, Martina; Di Nola, Antonio 16 2008 Perfect GMV-algebras. Zbl 1146.06007Di Nola, A.; Dvurečenskij, A.; Tsinakis, C. 16 2008 Finitely generated free MV-algebras and their automorphism groups. Zbl 0964.06010Di Nola, Antonio; Grigolia, Revaz; Panti, Giovanni 15 1998 The prime spectrum of an MV-algebra. Zbl 0815.06010Belluce, L. P.; Di Nola, Antonio; Sessa, Salvatore 15 1994 On some classes of state-morphism MV-algebras. Zbl 1212.06028Di Nola, Antonio; Dvurečenskij, Anatolij 15 2009 MV-modules. Zbl 1025.06009Di Nola, Antonio; Flondor, Paul; Leuştean, Ioana 15 2003 Fuzzy relational neural network. Zbl 1093.68078Ciaramella, A.; Tagliaferri, R.; Pedrycz, W.; Di Nola, A. 14 2006 On solving relational equations in Brouwerian lattices. Zbl 0701.04003Di Nola, Antonio 14 1990 Decomposition problem of fuzzy relations. Zbl 0559.04004Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold 13 1985 Commutative rings whose ideals form an MV-algebra. Zbl 1180.06008Belluce, Lawrence P.; Di Nola, Antonio 13 2009 Perfect MV-algebras and their logic. Zbl 1123.06006Belluce, Lawrence P.; Di Nola, Antonio; Gerla, Brunella 13 2007 MV-semirings and their sheaf representations. Zbl 1263.06004Belluce, Lawrence Peter; Di Nola, Antonio; Ferraioli, Anna Rita 13 2013 Coproduct MV-algebras, nonstandard reals, and Riesz spaces. Zbl 0864.06005Di Nola, A.; Lettieri, A. 13 1996 Yosida type representation for perfect MV-algebras. Zbl 0864.06004Belluce, Lawrence P.; Di Nola, Antonio 13 1996 Semiring and semimodule issues in MV-algebras. Zbl 1317.06012Di Nola, Antonio; Russo, Ciro 13 2013 Local algebras in the representation of MV-algebras. Zbl 1113.06005Di Nola, A.; Esposito, I.; Gerla, B. 12 2007 On some chains of fuzzy sets. Zbl 0444.94050Di Nola, Antonio; Ventre, Aldo G. S. 12 1980 Fuzzy relation equations with equality and difference composition operators. Zbl 0645.04004Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore 12 1988 Some theoretical aspects of fuzzy-relation equations describing fuzzy systems. Zbl 0557.93004Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore 11 1984 The \(\sigma\)-complete MV-algebras which have enough states. Zbl 1081.06011Di Nola, Antonio; Navara, Mirko 11 2005 Finite BL-algebras. Zbl 1025.06008Di Nola, Antonio; Lettieri, Ada 10 2003 The semiring-theoretic approach to MV-algebras: a survey. Zbl 1368.06006Di Nola, Antonio; Russo, Ciro 10 2015 Using maximal ideals in the classification of MV-algebras. Zbl 0799.06021Di Nola, Antonio; Liguori, Fortunata; Sessa, Salvatore 10 1993 Gödel spaces and perfect MV-algebras. Zbl 1380.06007Di Nola, Antonio; Grigolia, Revaz 10 2015 Fuzzy models of first order languages. Zbl 0583.03043Di Nola, Antonio; Gerla, Giangiacomo 9 1986 Projective MV-algebras and their automorphism groups. Zbl 1045.06004Di Nola, Antonio; Grigolia, Revaz 9 2003 An aspect of discrepancy in the implementation of modus ponens in the presence of fuzzy quantities. Zbl 0676.68055di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore 9 1989 Entropy and energy measure characterization of resolution of some fuzzy relational equations. Zbl 0525.04002Di Nola, Antonio; Pedrycz, Witold 8 1982 Energy and entropy measures of fuzziness of solutions of fuzzy relation equations with continuous triangular norms. Zbl 0525.04003Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore 8 1983 The variety generated by perfect BL-algebras: an algebraic approach in a fuzzy logic setting. Zbl 1004.03023Di Nola, Antonio; Sessa, Salvatore; Esteva, Francesc; Godo, Lluis; Garcia, Pere 8 2002 Entropy on effect algebras with Riesz decomposition property. II: MV-algebras. Zbl 1249.03116Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado 8 2005 Erratum to “State-morphism MV-algebras”. Zbl 1221.06013Di Nola, A.; Dvurečenskij, A.; Lettieri, A. 8 2010 Convergence of powers of reciprocal fuzzy matrices. Zbl 0803.15014Di Nola, Antonio; Kolodziejczyk, Waldemar; Sessa, Salvatore 8 1993 Varieties of BL-algebras. Zbl 1092.03036Di Nola, A.; Esteva, F.; Godo, L.; Montagna, F. 8 2005 Relation equations in residuated lattices. Zbl 0691.06002Di Nola, Antonio; Lettieri, Ada 8 1989 Observables on perfect MV-algebras. Zbl 1423.06047Di Nola, Antonio; Dvurečenskij, Anatolij; Lenzi, Giacomo 7 2019 Fuzzy relational structures: The state-of-art. Zbl 0852.04008Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore 7 1995 Conditional states in finite-valued logics. Zbl 0942.06004Di Nola, Antonio; Georgescu, George; Lettieri, Ada 7 1999 On measures of fuzziness of solutions of fuzzy relation equations with generalized connectives. Zbl 0593.03011Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore 6 1985 MV-algebras in duality with labelled root systems. Zbl 0992.06010Di Nola, Antonio; Grigolia, Revaz 6 2002 On MV-algebras of continuous functions. Zbl 0831.06006Di Nola, A.; Sessa, S. 6 1995 The MV-algebra of first order Łukasiewicz logic. Zbl 1064.03015Belluce, Lawrence P.; Di Nola, Antonio 6 2003 Triangular norms, MV-algebras and bold fuzzy set theory. Zbl 0743.03016Belluce, L. P.; Di Nola, A.; Sessa, S. 6 1991 Finite fuzzy relation equations with a unique solution in linear lattices. Zbl 0661.04003Di Nola, Antonio; Sessa, Salvatore 6 1988 Ordering fuzzy sets by consensus concept and fuzzy relation equations. Zbl 0553.04007Higashi, Masahiko; Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold 5 1984 On measures of fuzziness of solutions of composite fuzzy relation equations. Zbl 0566.04003Di Nola, A.; Sessa, S. 5 1984 States on perfect MV-algebras. Zbl 1016.06007Di Nola, Antonio; Georgescu, George; Leiştean, Ioana 5 2000 Subvarieties of BL-algebras generated by single-component chains. Zbl 1023.03060Di Nola, Antonio; Esteva, Francesc; Garcia, Pere; Godo, Lluís; Sessa, Salvatore 5 2002 An analysis of the logic of Riesz spaces with strong unit. Zbl 1427.06008Di Nola, Antonio; Lapenta, Serafina; Leuştean, Ioana 5 2018 Transitive solutions of relational equations on finite sets and linear lattices. Zbl 0786.15018Di Nola, Antonio; Kolodziejczyk, Waldemar; Sessa, Salvatore 5 1991 Priestley duality and quotient lattices of many-valued algebras. Zbl 0787.06013Cignoli, R.; Di Nola, A.; Lettieri, A. 5 1991 Procesing of fuzzy numbers by fuzzy relation equations. Zbl 0625.04006Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore 5 1986 Using fuzzy relation equations in the construction of inference mechanisms in expert systems. Zbl 0625.68070Di Nola, A.; Pedrycz, W.; Sessa, S. 5 1987 Pro-finite MV-spaces. Zbl 1051.06007Di Nola, Antonio; Grigolia, Revaz 5 2004 On normal forms in Łukasiewicz logic. Zbl 1061.03026Di Nola, A.; Lettieri, A. 5 2004 Fuzzy relation equations under LSC and USC t-norms and their Boolean solutions. Zbl 0673.04003Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore 5 1987 On some finite fuzzy relation equations. Zbl 0688.90002Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold 5 1990 Infinitary logic and basically disconnected compact Hausdorff spaces. Zbl 1444.03088Di Nola, Antonio; Lapenta, Serafina; Leuştean, Ioana 4 2018 Entropy on effect algebras with the Riesz decomposition property. I: Basic properties. Zbl 1249.03115Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado 4 2005 Natural dualities for varieties of BL-algebras. Zbl 1087.06005Di Nola, Antonio; Niederkorn, Philippe 4 2005 Riesz-McNaughton functions and Riesz MV-algebras of nonlinear functions. Zbl 1393.06008Di Nola, Antonio; Lenzi, Giacomo; Vitale, Gaetano 4 2017 Representation of MV-algebras by regular ultrapowers of \([0,1]\). Zbl 1196.06005Di Nola, Antonio; Lenzi, Giacomo; Spada, Luca 4 2010 Riesz MV-algebras and their logic. Zbl 1254.06008Di Nola, Antonio; Leustean, Ioana 4 2011 A study on approximate reasoning mechanisms via fuzzy relation equations. Zbl 0751.68072Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold 4 1992 On fuzzy integral inequalities and fuzzy expectation. Zbl 0654.28014Di Nola, Antonio; Ventre, Aldo G. S. 4 1987 Abelian \(\ell\)-groups with strong unit and perfect MV-algebras. Zbl 1168.06006Belluce, Lawrence P.; Di Nola, Antonio; Gerla, Brunella 4 2008 Subalgebras, direct products and associated lattices of MV-algebras. Zbl 0765.06012Belluce, L. P.; Di Nola, A.; Lettieri, A. 3 1992 An algorithm of calculation of lower solutions of fuzzy relational equations. Zbl 0593.04005Di Nola, Antonio 3 1984 On some sequences of fuzzy sets. Zbl 0405.94029di Nola, A.; Ventre, A. G. S. 3 1979 On MV-algebras of non-linear functions. Zbl 1423.06046Di Nola, A.; Lenzi, G.; Vitale, G. 3 2017 Ideals of MV-semirings and MV-algebras. Zbl 1328.06010Belluce, L. P.; Di Nola, A.; Ferraioli, A. R. 3 2014 Dualities and algebraic geometry of Baire functions in non-classical logic. Zbl 07423156Di Nola, Antonio; Lapenta, Serafina; Lenzi, Giacomo 2 2021 An approach to stochastic processes via non-classical logic. Zbl 1491.06023Di Nola, Antonio; Dvurečenskij, Anatolij; Lapenta, Serafina 1 2021 Dynamic Łukasiewicz logic and dynamic MV-algebras. Zbl 1477.03073Di Nola, Antonio; Grigolia, Revaz; Vitale, Gaetano 2 2020 Observables on perfect MV-algebras. Zbl 1423.06047Di Nola, Antonio; Dvurečenskij, Anatolij; Lenzi, Giacomo 7 2019 On the variety of Gödel MV-algebras. Zbl 1436.06029Di Nola, Antonio; Grigolia, Revaz; Vitale, Gaetano 1 2019 Topological spaces of monadic MV-algebras. Zbl 1415.06003Di Nola, Antonio; Grigolia, Revaz; Lenzi, Giacomo 1 2019 On injectivity of semimodules over additively idempotent division semirings and chain MV-semirings. Zbl 1485.16042Di Nola, A.; Lenzi, G.; Nam, T. G.; Vannucci, S. 1 2019 An analysis of the logic of Riesz spaces with strong unit. Zbl 1427.06008Di Nola, Antonio; Lapenta, Serafina; Leuştean, Ioana 5 2018 Infinitary logic and basically disconnected compact Hausdorff spaces. Zbl 1444.03088Di Nola, Antonio; Lapenta, Serafina; Leuştean, Ioana 4 2018 Duality theory and skeleta for semisimple MV-algebras. Zbl 1431.06004Di Nola, Antonio; Lenzi, Giacomo 1 2018 Algebraic geometry for \(\ell \)-groups. Zbl 1472.06023Di Nola, Antonio; Lenzi, Giacomo; Vitale, Gaetano 1 2018 Corrigendum to: “Semiring and semimodule issues in MV-algebras”. Zbl 1392.06009Di Nola, Antonio; Russo, Ciro 1 2018 Riesz-McNaughton functions and Riesz MV-algebras of nonlinear functions. Zbl 1393.06008Di Nola, Antonio; Lenzi, Giacomo; Vitale, Gaetano 4 2017 On MV-algebras of non-linear functions. Zbl 1423.06046Di Nola, A.; Lenzi, G.; Vitale, G. 3 2017 Affine representations of \(\ell\)-groups and MV-algebras. Zbl 1420.06012Boccuto, Antonio; Di Nola, Antonio; Vitale, Gaetano 3 2017 Relative subalgebras of MV-algebras. Zbl 1420.06018Belluce, Lawrence Peter; Di Nola, Antonio; Lenzi, Giacomo 2 2017 Combining Boolean algebras and \(\ell \)-groups in the variety generated by Chang’s MV-algebra. Zbl 1374.06020Di Nola, A.; Ferraioli, A. R.; Gerla, B. 2 2016 The semiring-theoretic approach to MV-algebras: a survey. Zbl 1368.06006Di Nola, Antonio; Russo, Ciro 10 2015 Gödel spaces and perfect MV-algebras. Zbl 1380.06007Di Nola, Antonio; Grigolia, Revaz 10 2015 Multimodal epistemic Łukasiewicz logics with application in immune system. Zbl 1382.03046Di Nola, Antonio; Grigolia, Revaz; Mitskevich, Nunu 2 2015 Łukasiewicz logic and Riesz spaces. Zbl 1331.06004Di Nola, Antonio; Leuştean, Ioana 20 2014 Ideals of MV-semirings and MV-algebras. Zbl 1328.06010Belluce, L. P.; Di Nola, A.; Ferraioli, A. R. 3 2014 Algebraic geometry for MV-algebras. Zbl 1353.06007Belluce, Lawrence P.; Di Nola, Antonio; Lenzi, Giacomo 1 2014 MV-semirings and their sheaf representations. Zbl 1263.06004Belluce, Lawrence Peter; Di Nola, Antonio; Ferraioli, Anna Rita 13 2013 Semiring and semimodule issues in MV-algebras. Zbl 1317.06012Di Nola, Antonio; Russo, Ciro 13 2013 Hyperfinite MV-algebras. Zbl 1276.06006Belluce, L. P.; Di Nola, A.; Lenzi, G. 3 2013 Adding real coefficients to Łukasiewicz logic: an application to neural networks. Zbl 1423.03077Di Nola, Antonio; Gerla, Brunella; Leustean, Ioana 2 2013 Algebraically closed MV-algebras and their sheaf representation. Zbl 1286.06016Di Nola, A.; Ferraioli, A. R.; Lenzi, G. 2 2013 Stone duality type theorems for MV-algebras with internal state. Zbl 1259.06015Di Nola, A.; Dvurečenskij, A.; Lettieri, A. 2 2012 Łukasiewicz logic and MV-algebras. Zbl 1284.03178Di Nola, Antonio; Leuştean, Ioana 17 2011 Riesz MV-algebras and their logic. Zbl 1254.06008Di Nola, Antonio; Leustean, Ioana 4 2011 On varieties of MV-algebras with internal states. Zbl 1213.06006Di Nola, A.; Dvurečenskij, A.; Lettieri, A. 23 2010 Erratum to “State-morphism MV-algebras”. Zbl 1221.06013Di Nola, A.; Dvurečenskij, A.; Lettieri, A. 8 2010 Representation of MV-algebras by regular ultrapowers of \([0,1]\). Zbl 1196.06005Di Nola, Antonio; Lenzi, Giacomo; Spada, Luca 4 2010 On the Loomis-Sikorski theorem for MV-algebras with internal state. Zbl 1235.06013Di Nola, A.; Dvurečenskij, A.; Lettieri, A. 3 2010 Relative MV-algebras and relative homomorphisms. Zbl 1225.06008Di Nola, Antonio; Lettieri, Ada 1 2010 State-morphism MV-algebras. Zbl 1186.06007Di Nola, Antonio; Dvurečenskij, Anatolij 42 2009 On some classes of state-morphism MV-algebras. Zbl 1212.06028Di Nola, Antonio; Dvurečenskij, Anatolij 15 2009 Commutative rings whose ideals form an MV-algebra. Zbl 1180.06008Belluce, Lawrence P.; Di Nola, Antonio 13 2009 The category of MV-pairs. Zbl 1173.06003Di Nola, Antonio; Holcapek, Michal; Jenca, Gejza 1 2009 Approximation by pseudo-linear operators. Zbl 1173.41010Bede, Barnabás; Nobuhara, Hajime; Daňková, Martina; Di Nola, Antonio 16 2008 Perfect GMV-algebras. Zbl 1146.06007Di Nola, A.; Dvurečenskij, A.; Tsinakis, C. 16 2008 Abelian \(\ell\)-groups with strong unit and perfect MV-algebras. Zbl 1168.06006Belluce, Lawrence P.; Di Nola, Antonio; Gerla, Brunella 4 2008 Projective MV-algebras. Zbl 1185.06006Di Nola, Antonio; Grigolia, Revaz; Lettieri, Ada 2 2008 Forcing in Łukasiewicz predicate logic. Zbl 1170.03013Di Nola, Antonio; Georgescu, George; Spada, Luca 2 2008 Editing configurations of P systems. Zbl 1136.68025Csuhaj-Varjú, Erzsébet; Di Nola, Antonio; Păun, Gheorghe; Pérez-Jiménez, Mario J.; Vaszil, György 1 2008 Algebraic analysis of fuzzy systems. Zbl 1110.93012Di Nola, Antonio; Lettieri, Ada; Perfilieva, Irina; Novák, Vilém 31 2007 Łukasiewicz transform and its application to compression and reconstruction of digital images. Zbl 1114.06009Di Nola, A.; Russo, C. 22 2007 Perfect MV-algebras and their logic. Zbl 1123.06006Belluce, Lawrence P.; Di Nola, Antonio; Gerla, Brunella 13 2007 Local algebras in the representation of MV-algebras. Zbl 1113.06005Di Nola, A.; Esposito, I.; Gerla, B. 12 2007 Simplicial structures in MV-algebras and logic. Zbl 1119.03067Belluce, L. P.; Di Nola, A. 3 2007 Fuzzy relational neural network. Zbl 1093.68078Ciaramella, A.; Tagliaferri, R.; Pedrycz, W.; Di Nola, A. 14 2006 Fuzzy relational neural network for data analysis. Zbl 1128.68413Ciaramella, Angelo; Tagliaferri, Roberto; Pedrycz, Witold; Di Nola, Antonio 2 2006 Algebras of Lukasiewicz’s logic and their semiring reducts. Zbl 1081.06009Di Nola, A.; Gerla, B. 31 2005 The \(\sigma\)-complete MV-algebras which have enough states. Zbl 1081.06011Di Nola, Antonio; Navara, Mirko 11 2005 Entropy on effect algebras with Riesz decomposition property. II: MV-algebras. Zbl 1249.03116Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado 8 2005 Varieties of BL-algebras. Zbl 1092.03036Di Nola, A.; Esteva, F.; Godo, L.; Montagna, F. 8 2005 Entropy on effect algebras with the Riesz decomposition property. I: Basic properties. Zbl 1249.03115Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado 4 2005 Natural dualities for varieties of BL-algebras. Zbl 1087.06005Di Nola, Antonio; Niederkorn, Philippe 4 2005 Neural networks and rational McNaughton functions. Zbl 1104.68093Amato, Paolo; Di Nola, Antonio; Gerla, Brunella 2 2005 On monadic MV-algebras. Zbl 1052.06010Di Nola, Antonio; Grigolia, Revaz 39 2004 Good and bad infinitesimals, and states on pseudo MV-algebras. Zbl 1081.06010Di Nola, Antonio; Dvurečenskij, Anatolij; Jakubík, Ján 17 2004 Pro-finite MV-spaces. Zbl 1051.06007Di Nola, Antonio; Grigolia, Revaz 5 2004 On normal forms in Łukasiewicz logic. Zbl 1061.03026Di Nola, A.; Lettieri, A. 5 2004 Fuzzy neural networks based on fuzzy logic algebras valued relations. Zbl 1088.68157Tagliaferri, Roberto; Ciaramella, Angelo; Di Nola, Antonio; Bělohlávek, Radim 2 2004 Partial algebraic conditional spaces. Zbl 1059.03010Di Nola, Antonio; Scozzafava, Romano 2 2004 Compact representations of BL-algebras. Zbl 1040.03048Di Nola, Antonio; Leuştean, Laurenţiu 28 2003 MV-modules. Zbl 1025.06009Di Nola, Antonio; Flondor, Paul; Leuştean, Ioana 15 2003 Finite BL-algebras. Zbl 1025.06008Di Nola, Antonio; Lettieri, Ada 10 2003 Projective MV-algebras and their automorphism groups. Zbl 1045.06004Di Nola, Antonio; Grigolia, Revaz 9 2003 The MV-algebra of first order Łukasiewicz logic. Zbl 1064.03015Belluce, Lawrence P.; Di Nola, Antonio 6 2003 Which truth values in fuzzy logics are definable? Zbl 1036.03020Nguyen, Hung T.; Kreinovich, Vladik; Di Nola, Antonio 2 2003 Pseudo-BL algebras. I. Zbl 1028.06007Di Nola, Antonio; Georgescu, George; Iorgulescu, Afrodita 97 2002 Pseudo-BL algebras. II. Zbl 1028.06008Di Nola, Antonio; Georgescu, George; Iorgulescu, Afrodita 66 2002 The variety generated by perfect BL-algebras: an algebraic approach in a fuzzy logic setting. Zbl 1004.03023Di Nola, Antonio; Sessa, Salvatore; Esteva, Francesc; Godo, Lluis; Garcia, Pere 8 2002 MV-algebras in duality with labelled root systems. Zbl 0992.06010Di Nola, Antonio; Grigolia, Revaz 6 2002 Subvarieties of BL-algebras generated by single-component chains. Zbl 1023.03060Di Nola, Antonio; Esteva, Francesc; Garcia, Pere; Godo, Lluís; Sessa, Salvatore 5 2002 Grothendieck-like duality for Heyting algebras. Zbl 1061.06021Di Nola, Antonio; Georgescu, George 2 2002 An evolutionary approach to spatial fuzzy c-means clustering. Zbl 1092.68641Di Nola, Antonio; Loia, Vincenzo; Staiano, Antonino 1 2002 Product MV-algebras. Zbl 1016.06006Di Nola, A.; Dvurecenskij, A. 29 2001 Lectures on soft computing and fuzzy logic. Zbl 0970.00009 1 2001 Finiteness and duality in MV-algebras theory. Zbl 0992.06009Di Nola, Antonio; Grigolia, Revaz 1 2001 A discrete free MV-algebra over one generator. Zbl 1032.06006Di Nola, Antonio; Gerla, Brunella 1 2001 Boolean products of BL-algebras. Zbl 0966.03055Di Nola, Antonio; Georgescu, George; Leuştean, Laurenţiu 19 2000 One chain generated varieties of MV-algebras. Zbl 0949.06004Di Nola, Antonio; Lettieri, Ada 18 2000 States on perfect MV-algebras. Zbl 1016.06007Di Nola, Antonio; Georgescu, George; Leiştean, Ioana 5 2000 Sequent calculi for finite-valued Łukasiewicz logics via Boolean decompositions. Zbl 0955.03031Aguzzoli, Stefano; Ciabattoni, Agata; Di Nola, Antonio 1 2000 Equational characterization of all varieties of MV-algebras. Zbl 0946.06009Di Nola, Antonio; Lettieri, Ada 34 1999 Conditional states in finite-valued logics. Zbl 0942.06004Di Nola, Antonio; Georgescu, George; Lettieri, Ada 7 1999 Closed ideals of MV-algebras. Zbl 0937.06010Di Nola, Antonio; Georgescu, George; Sessa, Salvatore 2 1999 Perfect MV-algebras and \(\ell\)-rings. Zbl 1031.06009Belluce, Lawrence P.; Di Nola, Antonio; Georgescu, George 2 1999 Finitely generated free MV-algebras and their automorphism groups. Zbl 0964.06010Di Nola, Antonio; Grigolia, Revaz; Panti, Giovanni 15 1998 Coproduct MV-algebras, nonstandard reals, and Riesz spaces. Zbl 0864.06005Di Nola, A.; Lettieri, A. 13 1996 Yosida type representation for perfect MV-algebras. Zbl 0864.06004Belluce, Lawrence P.; Di Nola, Antonio 13 1996 Projective limits of \(MV\)-spaces. Zbl 0876.06003Di Nola, Antonio; Georgescu, George 1 1996 Fuzzy relational structures: The state-of-art. Zbl 0852.04008Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore 7 1995 On MV-algebras of continuous functions. Zbl 0831.06006Di Nola, A.; Sessa, S. 6 1995 Special issue on fuzzy relations, Part 2. Zbl 0851.00014 2 1995 Perfect MV-algebras are categorically equivalent to Abelian \(l\)-groups. Zbl 0812.06010Di Nola, Antonio; Lettieri, Ada 58 1994 The prime spectrum of an MV-algebra. Zbl 0815.06010Belluce, L. P.; Di Nola, Antonio; Sessa, Salvatore 15 1994 ...and 55 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 698 Authors 96 Di Nola, Antonio 67 Dvurečenskij, Anatolij 32 Wang, Xueping 29 Pedrycz, Witold 29 Sessa, Salvatore 19 Rachůnek, Jiří 18 Ciungu, Lavinia Corina 18 Lenzi, Giacomo 18 Lettieri, Ada 16 Georgescu, George 15 Belluce, Lawrence Peter 15 Montagna, Franco 14 Leuştean, Ioana 13 Borumand Saeid, Arsham 13 Grigolia, Revaz 13 Wu, Yan-Kuen 12 Chajda, Ivan 11 Fang, Shu-Cherng 11 Lapenta, Serafina 11 Šalounová, Dana 11 Zahiri, Omid 10 Botur, Michal 10 Flaminio, Tommaso 10 Medina, Jesús 10 Rasouli, Saeed 10 Shu, Qianyu 9 Abbasi Molai, Ali 9 Borzooei, Rajab Ali 9 Khorram, Esmaile 9 Russo, Ciro 9 Šešelja, Branimir 9 Tepavčević, Andreja 9 Vitale, Gaetano 9 Xin, Xiaolong 8 Bede, Barnabás 8 Paseka, Jan 8 Turunen, Esko 8 Yang, Xiaopeng 8 Zhan, Jianming 7 Bianchi, Matteo 7 Forouzesh, Fereshteh 7 Gavalec, Martin 7 Kühr, Jan 7 Lur, Yung-Yih 7 Nganou, Jean Bernard 7 Plavka, Ján 7 Pulmannová, Sylvia 6 Agliano, Paolo 6 Cao, Bingyuan 6 Cimadamore, Cecilia Rossana 6 De Baets, Bernard 6 Díaz Varela, José Patricio 6 Esteva, Francesc 6 Gerla, Brunella 6 Ghodousian, Amin 6 Kołodziejczyk, Waldemar 6 Kowalski, Tomasz 6 Lachman, Dominik 6 Länger, Helmut M. 6 Li, Pingke 6 Mundici, Daniele 6 Noguera, Carles 6 Perfilieva, Irina G. 6 Qu, Xiaobing 6 Spada, Luca 6 Xiong, Qingquan 5 Aguzzoli, Stefano 5 Bělohlávek, Radim 5 Busaniche, Manuela 5 Castiglioni, José Luis 5 Cignoli, Roberto 5 Cintula, Petr 5 Di Martino, Ferdinando 5 Freytes, Hector 5 Godo, Lluís 5 He, Pengfei 5 Jipsen, Peter 5 Leuştean, Laurenţiu 5 Miyakoshi, Masaaki 5 Mureşan, Claudia 5 Shieh, Bih-Sheue 5 Solovyov, Sergey A. 5 Štěpnička, Martin 5 Sun, Feng 5 Xu, Yang 5 Zhao, Bin 5 Zhou, Hongjun 5 Zhou, Xuegang 4 Aliannezhadi, Samaneh 4 Bartl, Eduard 4 Cechlárová, Katarína 4 Chen, Wenjuan 4 Cornejo, Maria Eugenia 4 Coroianu, Lucian C. 4 Díaz-Moreno, Juan Carlos 4 Dudek, Wiesław Aleksander 4 Eslami, Esfandiar 4 Flondor, Paul 4 Gal, Sorin Gheorghe 4 Gerla, Giangiacomo ...and 598 more Authors all top 5 Cited in 118 Serials 226 Fuzzy Sets and Systems 120 Soft Computing 64 Information Sciences 35 Mathematica Slovaca 24 International Journal of Approximate Reasoning 23 Algebra Universalis 22 Studia Logica 17 Archive for Mathematical Logic 15 Linear Algebra and its Applications 13 Annals of Pure and Applied Logic 12 International Journal of Theoretical Physics 12 Journal of Mathematical Analysis and Applications 12 Journal of Algebra 11 International Journal of General Systems 11 Fuzzy Optimization and Decision Making 10 Journal of Pure and Applied Algebra 10 Kybernetika 10 Afrika Matematika 9 Order 9 Mathematical Logic Quarterly (MLQ) 8 Computers & Mathematics with Applications 7 Kybernetes 7 Journal of Applied Non-Classical Logics 6 Communications in Algebra 6 Reports on Mathematical Physics 6 Applied Mathematics and Computation 6 Journal of Intelligent and Fuzzy Systems 5 Czechoslovak Mathematical Journal 5 Journal of the Australian Mathematical Society 5 Journal of Algebra and its Applications 5 Journal of Applied Logic 4 Linear and Multilinear Algebra 4 Applied Categorical Structures 4 Journal of Multiple-Valued Logic and Soft Computing 3 Discrete Mathematics 3 Journal of Computational and Applied Mathematics 3 The Journal of Symbolic Logic 3 Rendiconti del Circolo Matemàtico di Palermo. 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Mathematics and Statistics 1 Communications of the Korean Mathematical Society 1 Lobachevskii Journal of Mathematics ...and 18 more Serials all top 5 Cited in 44 Fields 517 Mathematical logic and foundations (03-XX) 464 Order, lattices, ordered algebraic structures (06-XX) 87 Computer science (68-XX) 62 Linear and multilinear algebra; matrix theory (15-XX) 52 Operations research, mathematical programming (90-XX) 50 General algebraic systems (08-XX) 39 Associative rings and algebras (16-XX) 37 Information and communication theory, circuits (94-XX) 30 Measure and integration (28-XX) 28 General topology (54-XX) 28 Quantum theory (81-XX) 28 Systems theory; control (93-XX) 23 Category theory; homological algebra (18-XX) 19 Numerical analysis (65-XX) 18 Approximations and expansions (41-XX) 13 Group theory and generalizations (20-XX) 12 Functional analysis (46-XX) 12 Probability theory and stochastic processes (60-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Real functions (26-XX) 9 Statistics (62-XX) 8 Commutative algebra (13-XX) 8 Convex and discrete geometry (52-XX) 7 Combinatorics (05-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 History and biography (01-XX) 4 Algebraic geometry (14-XX) 4 Operator theory (47-XX) 3 Biology and other natural sciences (92-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Difference and functional equations (39-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year