Edit Profile (opens in new tab) Rodabaugh, Stephen Ernest Co-Author Distance Author ID: rodabaugh.stephen-ernest Published as: Rodabaugh, S. E.; Rodabaugh, Stephen E.; Rodabaugh, Stephen Ernest more...less Documents Indexed: 49 Publications since 1973 3 Contributions as Editor · 2 Further Contributions Co-Authors: 10 Co-Authors with 22 Joint Publications 210 Co-Co-Authors all top 5 Co-Authors 32 single-authored 11 Denniston, Jeffrey T. 10 Melton, Austin C. jun. 4 Höhle, Ulrich 4 Pultr, Aleš 3 Solovyov, Sergey A. 2 Klement, Erich Peter 1 Bayoumi, Fatma 1 Gutiérrez García, Javier 1 Pettey, Dix H. 1 Šostak, Alexander P. all top 5 Serials 21 Fuzzy Sets and Systems 5 Journal of Mathematical Analysis and Applications 3 Fundamenta Mathematicae 3 Topology Proceedings 2 Quaestiones Mathematicae 1 Rocky Mountain Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Topology and its Applications 1 Mathematical Chronicle 1 Theory and Decision Library. Series B: Mathematical and Statistical Methods 1 The Handbook of Fuzzy Sets Series 1 Trends in Logic – Studia Logica Library all top 5 Fields 50 General topology (54-XX) 22 Category theory; homological algebra (18-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 12 Mathematical logic and foundations (03-XX) 6 Computer science (68-XX) 5 Real functions (26-XX) 3 General and overarching topics; collections (00-XX) 2 Manifolds and cell complexes (57-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 1,472 times in 571 Documents Cited by ▼ Year ▼ Mathematics of fuzzy sets. Logic, topology, and measure theory. Zbl 0942.00008 147 1999 Categorical foundation of variable-basis fuzzy topology. Zbl 0968.54003 Rodabaugh, S. E. 128 1999 Powerset operator foundations for poslat fuzzy set theories and topologies. Zbl 0974.03047 Rodabaugh, S. E. 106 1999 Point-set lattice-theoretic topology. Zbl 0733.54003 Rodabaugh, S. E. 96 1991 Fuzzy addition in the L-fuzzy real line. Zbl 0508.54002 Rodabaugh, S. E. 70 1982 A categorical accommodation of various notions of fuzzy topology. Zbl 0527.54005 Rodabaugh, S. E. 65 1983 Relationship of algebraic theories to powerset theories and fuzzy topological theories for lattice-valued mathematics. Zbl 1145.54004 Rodabaugh, S. E. 62 2007 The Hausdorff separation axiom for fuzzy topological spaces. Zbl 0484.54008 Rodabaugh, S. E. 62 1980 Powerset operator based foundation for point-set lattice-theoretic (poslat) fuzzy set theories and topologies. Zbl 0911.04003 Rodabaugh, Stephen Ernest 52 1997 Topological and algebraic structures in fuzzy sets. A handbook of recent developments in the mathematics of fuzzy sets. Zbl 1020.00006 49 2003 Order-theoretic, topological, categorical redundancies of interval-valued sets, grey sets, vague sets, interval-valued “intuitionistic” sets, “intuitionistic” fuzzy sets and topologies. Zbl 1084.03042 Gutiérrez García, J.; Rodabaugh, S. E. 47 2005 Connectivity and the L-fuzzy unit interval. Zbl 0508.54003 Rodabaugh, S. E. 43 1982 Categorical frameworks for Stone representation theories. Zbl 0789.18005 Rodabaugh, S. E. 43 1992 A theory of fuzzy uniformities with applications to the fuzzy real lines. Zbl 0637.54007 Rodabaugh, S. E. 38 1988 Separation axioms and the fuzzy real lines. Zbl 0525.54002 Rodabaugh, S. E. 38 1983 Functorial relationships between lattice-valued topology and topological systems. Zbl 1220.06001 Denniston, J. T.; Rodabaugh, S. E. 35 2009 Separation axioms: Representation theorems, compactness, and compactifications. Zbl 0968.54004 Rodabaugh, S. E. 34 1999 Lattice-valued frames, functor categories, and classes of sober spaces. (With an appendix by U. Höhle and S. E. Rodabaugh). Zbl 1052.54012 Pultr, A.; Rodabaugh, S. E. 28 2003 Applications of localic separation axioms, compactness axioms, representations, and compactifications to poslat topological spaces. Zbl 0867.54007 Rodabaugh, S. E. 28 1995 Category theoretic aspects of chain-valued frames. I: Categorical and presheaf theoretic foundations. Zbl 1170.18004 Pultr, A.; Rodabaugh, S. E. 24 2008 Complete fuzzy topological hyperfields and fuzzy multiplication in the fuzzy real lines. Zbl 0572.54006 Rodabaugh, S. E. 23 1985 Examples for different sobrieties in fixed-basis topology. Zbl 1246.54008 Pultr, A.; Rodabaugh, S. E. 21 2003 Category theoretic aspects of chain-valued frames. II: Applications to lattice-valued topology. Zbl 1170.18005 Pultr, A.; Rodabaugh, S. E. 21 2008 Axiomatic foundations for uniform operator quasi-uniformities. Zbl 1041.54012 Rodabaugh, S. E. 21 2003 Applications of category theory to fuzzy subsets. Based on the eleventh international seminar on fuzzy set theory, held in Linz, Austria, September 1989. Zbl 0741.00078 20 1992 Interweaving algebra and topology: lattice-valued topological systems. Zbl 1244.54013 Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E. 20 2012 Fuzzy real lines and dual real lines as poslat topological, uniform, and metric ordered semirings with unity. Zbl 1021.54005 Rodabaugh, S. E. 20 1999 Suitability in fuzzy topological spaces. Zbl 0462.54003 Rodabaugh, S. E. 19 1981 Lowen, para-Lowen, and \(\alpha\)-level functors and fuzzy topologies on the crisp real line. Zbl 0648.54006 Rodabaugh, S. E. 15 1988 Relationship of algebraic theories to powersets over objects in \(\mathbf {Set}\) and \(\mathbf {Set}\times C\). Zbl 1307.18003 Rodabaugh, S. E. 14 2010 Overview and comparison of localic and fixed-basis topological products. Zbl 1210.54010 Bayoumi, Fatma; Rodabaugh, Stephen E. 11 2010 Dynamic topologies and their applications to crisp topologies, fuzzifications of crisp topologies, and fuzzy topologies on the crisp real line. Zbl 0648.54005 Rodabaugh, S. E. 11 1988 A lattice of continuities for fuzzy topological spaces. Zbl 0455.54005 Rodabaugh, S. E. 10 1981 Editorial to the “Special issue on fuzzy topology”. Zbl 0867.54003 Höhle, U.; Rodabaugh, S. E.; Šostak, A. 8 1995 Formal concept analysis and lattice-valued Chu systems. Zbl 1320.06004 Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E. 7 2013 Necessity of non-stratified and anti-stratified spaces in lattice-valued topology. Zbl 1194.54011 Rodabaugh, S. E. 6 2010 Errata: ”A categorical accommodation of various notions of fuzzy topology” and ”Complete fuzzy topological hyperfields and fuzzy multiplication in the fuzzy real lines”. Zbl 0603.54005 Rodabaugh, S. E. 5 1986 Necessity of Chang-Goguen topologies. Zbl 0795.54007 Rodabaugh, S. E. 5 1992 Lattice-valued preordered sets as lattice-valued topological systems. Zbl 1360.54012 Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 4 2015 Topological systems as a framework for institutions. Zbl 1394.18002 Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 4 2016 Enriched categories and many-valued preorders: categorical, semantical, and topological perspectives. Zbl 1335.68305 Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E. 4 2014 Formal contexts, formal concept analysis, and Galois connections. Zbl 1464.68383 Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E. 3 2013 A categorical accommodation of various notions of fuzzy topology. Zbl 0511.54005 Rodabaugh, Stephen E. 2 1981 Sierpinski object for affine systems. Zbl 1372.54007 Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 2 2017 Retracts of Tychonoff and normal spaces. Zbl 0259.54010 Rodabaugh, Stephen E. 1 1973 Sierpinski object for affine systems. Zbl 1372.54007 Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 2 2017 Topological systems as a framework for institutions. Zbl 1394.18002 Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 4 2016 Lattice-valued preordered sets as lattice-valued topological systems. Zbl 1360.54012 Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 4 2015 Enriched categories and many-valued preorders: categorical, semantical, and topological perspectives. Zbl 1335.68305 Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E. 4 2014 Formal concept analysis and lattice-valued Chu systems. Zbl 1320.06004 Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E. 7 2013 Formal contexts, formal concept analysis, and Galois connections. Zbl 1464.68383 Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E. 3 2013 Interweaving algebra and topology: lattice-valued topological systems. Zbl 1244.54013 Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E. 20 2012 Relationship of algebraic theories to powersets over objects in \(\mathbf {Set}\) and \(\mathbf {Set}\times C\). Zbl 1307.18003 Rodabaugh, S. E. 14 2010 Overview and comparison of localic and fixed-basis topological products. Zbl 1210.54010 Bayoumi, Fatma; Rodabaugh, Stephen E. 11 2010 Necessity of non-stratified and anti-stratified spaces in lattice-valued topology. Zbl 1194.54011 Rodabaugh, S. E. 6 2010 Functorial relationships between lattice-valued topology and topological systems. Zbl 1220.06001 Denniston, J. T.; Rodabaugh, S. E. 35 2009 Category theoretic aspects of chain-valued frames. I: Categorical and presheaf theoretic foundations. Zbl 1170.18004 Pultr, A.; Rodabaugh, S. E. 24 2008 Category theoretic aspects of chain-valued frames. II: Applications to lattice-valued topology. Zbl 1170.18005 Pultr, A.; Rodabaugh, S. E. 21 2008 Relationship of algebraic theories to powerset theories and fuzzy topological theories for lattice-valued mathematics. Zbl 1145.54004 Rodabaugh, S. E. 62 2007 Order-theoretic, topological, categorical redundancies of interval-valued sets, grey sets, vague sets, interval-valued “intuitionistic” sets, “intuitionistic” fuzzy sets and topologies. Zbl 1084.03042 Gutiérrez García, J.; Rodabaugh, S. E. 47 2005 Topological and algebraic structures in fuzzy sets. A handbook of recent developments in the mathematics of fuzzy sets. Zbl 1020.00006 49 2003 Lattice-valued frames, functor categories, and classes of sober spaces. (With an appendix by U. Höhle and S. E. Rodabaugh). Zbl 1052.54012 Pultr, A.; Rodabaugh, S. E. 28 2003 Examples for different sobrieties in fixed-basis topology. Zbl 1246.54008 Pultr, A.; Rodabaugh, S. E. 21 2003 Axiomatic foundations for uniform operator quasi-uniformities. Zbl 1041.54012 Rodabaugh, S. E. 21 2003 Mathematics of fuzzy sets. Logic, topology, and measure theory. Zbl 0942.00008 147 1999 Categorical foundation of variable-basis fuzzy topology. Zbl 0968.54003 Rodabaugh, S. E. 128 1999 Powerset operator foundations for poslat fuzzy set theories and topologies. Zbl 0974.03047 Rodabaugh, S. E. 106 1999 Separation axioms: Representation theorems, compactness, and compactifications. Zbl 0968.54004 Rodabaugh, S. E. 34 1999 Fuzzy real lines and dual real lines as poslat topological, uniform, and metric ordered semirings with unity. Zbl 1021.54005 Rodabaugh, S. E. 20 1999 Powerset operator based foundation for point-set lattice-theoretic (poslat) fuzzy set theories and topologies. Zbl 0911.04003 Rodabaugh, Stephen Ernest 52 1997 Applications of localic separation axioms, compactness axioms, representations, and compactifications to poslat topological spaces. Zbl 0867.54007 Rodabaugh, S. E. 28 1995 Editorial to the “Special issue on fuzzy topology”. Zbl 0867.54003 Höhle, U.; Rodabaugh, S. E.; Šostak, A. 8 1995 Categorical frameworks for Stone representation theories. Zbl 0789.18005 Rodabaugh, S. E. 43 1992 Applications of category theory to fuzzy subsets. Based on the eleventh international seminar on fuzzy set theory, held in Linz, Austria, September 1989. Zbl 0741.00078 20 1992 Necessity of Chang-Goguen topologies. Zbl 0795.54007 Rodabaugh, S. E. 5 1992 Point-set lattice-theoretic topology. Zbl 0733.54003 Rodabaugh, S. E. 96 1991 A theory of fuzzy uniformities with applications to the fuzzy real lines. Zbl 0637.54007 Rodabaugh, S. E. 38 1988 Lowen, para-Lowen, and \(\alpha\)-level functors and fuzzy topologies on the crisp real line. Zbl 0648.54006 Rodabaugh, S. E. 15 1988 Dynamic topologies and their applications to crisp topologies, fuzzifications of crisp topologies, and fuzzy topologies on the crisp real line. Zbl 0648.54005 Rodabaugh, S. E. 11 1988 Errata: ”A categorical accommodation of various notions of fuzzy topology” and ”Complete fuzzy topological hyperfields and fuzzy multiplication in the fuzzy real lines”. Zbl 0603.54005 Rodabaugh, S. E. 5 1986 Complete fuzzy topological hyperfields and fuzzy multiplication in the fuzzy real lines. Zbl 0572.54006 Rodabaugh, S. E. 23 1985 A categorical accommodation of various notions of fuzzy topology. Zbl 0527.54005 Rodabaugh, S. E. 65 1983 Separation axioms and the fuzzy real lines. Zbl 0525.54002 Rodabaugh, S. E. 38 1983 Fuzzy addition in the L-fuzzy real line. Zbl 0508.54002 Rodabaugh, S. E. 70 1982 Connectivity and the L-fuzzy unit interval. Zbl 0508.54003 Rodabaugh, S. E. 43 1982 Suitability in fuzzy topological spaces. Zbl 0462.54003 Rodabaugh, S. E. 19 1981 A lattice of continuities for fuzzy topological spaces. Zbl 0455.54005 Rodabaugh, S. E. 10 1981 A categorical accommodation of various notions of fuzzy topology. Zbl 0511.54005 Rodabaugh, Stephen E. 2 1981 The Hausdorff separation axiom for fuzzy topological spaces. Zbl 0484.54008 Rodabaugh, S. E. 62 1980 Retracts of Tychonoff and normal spaces. Zbl 0259.54010 Rodabaugh, Stephen E. 1 1973 all cited Publications top 5 cited Publications all top 5 Cited by 415 Authors 28 Solovyov, Sergey A. 26 Shi, Fu-Gui 25 Rodabaugh, Stephen Ernest 19 Fang, Jinxuan 19 Šostak, Alexander P. 18 Fang, Jinming 17 Kim, Yong Chan 17 Kubiak, Tomasz 16 Gutiérrez García, Javier 16 Yan, Conghua 14 Höhle, Ulrich 13 Li, Shenggang 13 Yue, Yueli 13 Zhang, Dexue 12 Ghareeb, A. 12 Morsi, Nehad Nashaat 12 Srivastava, Arun Kumar 12 Yao, Wei 10 El-Saady, Kamal 10 Močkoř, Jiří 9 de Prada Vicente, María Angeles 9 Guido, Cosimo 9 Lowen, Robert 9 Ramadan, Ahmed Abd El-Kader 8 Demirci, Mustafa 8 Jäger, Gunther 8 Zhang, Huapeng 7 Dubois, Didier 7 Ko, Jung Mi 7 Luo, Maokang 7 Pang, Bin 7 Prade, Henri M. 6 Abbas, Salah El-Deen 6 Denniston, Jeffrey T. 6 Sayed, Osama Rashed 5 Ahsanullah, T. M. G. 5 Alderton, Ian W. 5 Eroğlu, Mehmet Sait 5 Katsaras, Athanasios K. 5 Mardones-Pérez, Iraide 5 Mathew, Sunil C. 5 Melton, Austin C. jun. 5 Paseka, Jan 5 Zhao, Bin 5 Zheng, Chongyou 4 Abd-Allah, Mohammed Azab 4 Abd El-Latif, Ahmed Aref 4 Ajmal, Naseem 4 Al-Mufarrij, Jawaher 4 Ali, Dewan Muslim 4 Bai, Shizhong 4 Bayoumi, Fatma 4 Diker, Murat 4 Eklund, Patrik E. 4 Li, Hongyan 4 Li, Lingqiang 4 Li, Sanjiang 4 Romaguera Bonilla, Salvador 4 Sarma, Ratna Dev 4 Uļjane, Ingrǐda 3 Asmuss, Svetlana V. 3 Aygün, Halis 3 Brown, Lawrence Michael 3 Chakraborty, Mihir Kumar 3 Dost, Şenol 3 Fan, Lei 3 Fathalla, M. A. 3 Frascella, Anna 3 Han, Sang-Eon 3 Hashem, Khaled A. 3 Jin, Qiu 3 Jinming, Fang 3 Kerre, Etienne E. 3 Khalil, O. H. 3 Klein, Albert J. 3 Klement, Erich Peter 3 Liu, Yingming 3 Mahmoud, F. S. 3 Mohammed, Fatimah M. 3 Noor, Rana 3 Noorani, Mohd Salmi Mohd 3 Ojeda-Aciego, Manuel 3 Picado, Jorge 3 Russo, Ciro 3 Sathiyaraj, J. 3 Srivastava, Rekha 3 Stehlík, Milan 3 Vadivel, Appachi 3 Wang, Geping 3 Wang, Guojun 3 Wang, Kaiyun 3 Warner, Mary Wynne 3 Zahran, Ahmed M. 3 Zhang, Lili 3 Zhang, Qiye 3 Zhao, Hu 2 Al-Thukair, Fawzi A. 2 Amer, Mustafa A. 2 Cabrera, Inma P. 2 Castellini, Gabriele ...and 315 more Authors all top 5 Cited in 75 Serials 314 Fuzzy Sets and Systems 21 Soft Computing 18 Information Sciences 15 Journal of Mathematical Analysis and Applications 15 Quaestiones Mathematicae 13 Iranian Journal of Fuzzy Systems 12 Journal of Intelligent and Fuzzy Systems 10 Journal of the Egyptian Mathematical Society 9 Computers & Mathematics with Applications 6 Applied Mathematics and Computation 6 International Journal of Mathematics and Mathematical Sciences 5 Chaos, Solitons and Fractals 5 Topology and its Applications 5 Filomat 4 Kybernetika 4 International Journal of Approximate Reasoning 4 New Mathematics and Natural Computation 4 Korean Journal of Mathematics 3 Order 3 Applied Mathematics Letters 3 South East Asian Journal of Mathematics and Mathematical Sciences 3 Applications and Applied Mathematics 3 Advances in Fuzzy Systems 3 Fuzzy Information and Engineering 3 Open Mathematics 2 International Journal of Theoretical Physics 2 Demonstratio Mathematica 2 Mathematische Nachrichten 2 Semigroup Forum 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 Annals of Mathematics and Artificial Intelligence 2 Abstract and Applied Analysis 2 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics 2 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 2 Proyecciones 2 Journal of Advanced Studies in Topology 2 Journal of Applied Mathematics & Informatics 2 Mathematical Sciences 1 International Journal of General Systems 1 Algebra Universalis 1 Czechoslovak Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Studia Logica 1 International Journal of Intelligent Systems 1 Mathematical and Computer Modelling 1 Mathematical Structures in Computer Science 1 Archive for Mathematical Logic 1 Cybernetics and Systems Analysis 1 Journal of Applied Non-Classical Logics 1 Mathematical Logic Quarterly (MLQ) 1 International Journal of Applied Mathematics and Computer Science 1 Kragujevac Journal of Mathematics 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Applied Logic 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Fuzzy Optimization and Decision Making 1 Mathematics in Computer Science 1 Proceedings of the Estonian Academy of Sciences 1 Science China. Information Sciences 1 TWMS Journal of Pure and Applied Mathematics 1 Afrika Matematika 1 Journal of Mahani Mathematical Research Center 1 Axioms 1 Journal of Mathematics 1 Mathematics 1 Journal of Function Spaces 1 Sahand Communications in Mathematical Analysis 1 Journal of Logical and Algebraic Methods in Programming 1 Categories and General Algebraic Structures with Applications all top 5 Cited in 32 Fields 418 General topology (54-XX) 130 Order, lattices, ordered algebraic structures (06-XX) 117 Mathematical logic and foundations (03-XX) 110 Category theory; homological algebra (18-XX) 36 Functional analysis (46-XX) 26 Computer science (68-XX) 15 Real functions (26-XX) 12 General algebraic systems (08-XX) 9 Topological groups, Lie groups (22-XX) 7 Probability theory and stochastic processes (60-XX) 7 Information and communication theory, circuits (94-XX) 6 Measure and integration (28-XX) 5 History and biography (01-XX) 5 Group theory and generalizations (20-XX) 4 Convex and discrete geometry (52-XX) 3 Combinatorics (05-XX) 3 Sequences, series, summability (40-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) Citations by Year