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 207 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 44 Publications have been cited 1,323 times in 511 Documents Cited by ▼ Year ▼ Categorical foundation of variable-basis fuzzy topology. Zbl 0968.54003Rodabaugh, S. E. 126 1999 Powerset operator foundations for poslat fuzzy set theories and topologies. Zbl 0974.03047Rodabaugh, S. E. 101 1999 Point-set lattice-theoretic topology. Zbl 0733.54003Rodabaugh, S. E. 94 1991 Mathematics of fuzzy sets. Logic, topology, and measure theory. Zbl 0942.00008 71 1999 Fuzzy addition in the L-fuzzy real line. Zbl 0508.54002Rodabaugh, S. E. 69 1982 A categorical accommodation of various notions of fuzzy topology. Zbl 0527.54005Rodabaugh, S. E. 65 1983 The Hausdorff separation axiom for fuzzy topological spaces. Zbl 0484.54008Rodabaugh, S. E. 61 1980 Relationship of algebraic theories to powerset theories and fuzzy topological theories for lattice-valued mathematics. Zbl 1145.54004Rodabaugh, S. E. 57 2007 Powerset operator based foundation for point-set lattice-theoretic (poslat) fuzzy set theories and topologies. Zbl 0911.04003Rodabaugh, Stephen Ernest 50 1997 Order-theoretic, topological, categorical redundancies of interval-valued sets, grey sets, vague sets, interval-valued “intuitionistic” sets, “intuitionistic” fuzzy sets and topologies. Zbl 1084.03042Gutiérrez García, J.; Rodabaugh, S. E. 45 2005 Categorical frameworks for Stone representation theories. Zbl 0789.18005Rodabaugh, S. E. 42 1992 Connectivity and the L-fuzzy unit interval. Zbl 0508.54003Rodabaugh, S. E. 42 1982 A theory of fuzzy uniformities with applications to the fuzzy real lines. Zbl 0637.54007Rodabaugh, S. E. 38 1988 Separation axioms and the fuzzy real lines. Zbl 0525.54002Rodabaugh, S. E. 38 1983 Functorial relationships between lattice-valued topology and topological systems. Zbl 1220.06001Denniston, J. T.; Rodabaugh, S. E. 35 2009 Separation axioms: Representation theorems, compactness, and compactifications. Zbl 0968.54004Rodabaugh, S. E. 34 1999 Applications of localic separation axioms, compactness axioms, representations, and compactifications to poslat topological spaces. Zbl 0867.54007Rodabaugh, S. E. 28 1995 Lattice-valued frames, functor categories, and classes of sober spaces. (With an appendix by U. Höhle and S. E. Rodabaugh). Zbl 1052.54012Pultr, A.; Rodabaugh, S. E. 25 2003 Topological and algebraic structures in fuzzy sets. A handbook of recent developments in the mathematics of fuzzy sets. Zbl 1020.00006 23 2003 Complete fuzzy topological hyperfields and fuzzy multiplication in the fuzzy real lines. Zbl 0572.54006Rodabaugh, S. E. 23 1985 Category theoretic aspects of chain-valued frames. I: Categorical and presheaf theoretic foundations. Zbl 1170.18004Pultr, A.; Rodabaugh, S. E. 23 2008 Axiomatic foundations for uniform operator quasi-uniformities. Zbl 1041.54012Rodabaugh, S. E. 21 2003 Fuzzy real lines and dual real lines as poslat topological, uniform, and metric ordered semirings with unity. Zbl 1021.54005Rodabaugh, S. E. 20 1999 Interweaving algebra and topology: lattice-valued topological systems. Zbl 1244.54013Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E. 20 2012 Examples for different sobrieties in fixed-basis topology. Zbl 1246.54008Pultr, A.; Rodabaugh, S. E. 20 2003 Suitability in fuzzy topological spaces. Zbl 0462.54003Rodabaugh, S. E. 19 1981 Category theoretic aspects of chain-valued frames. II: Applications to lattice-valued topology. Zbl 1170.18005Pultr, A.; Rodabaugh, S. E. 19 2008 Lowen, para-Lowen, and \(\alpha\)-level functors and fuzzy topologies on the crisp real line. Zbl 0648.54006Rodabaugh, S. E. 15 1988 Relationship of algebraic theories to powersets over objects in \(\mathbf {Set}\) and \(\mathbf {Set}\times C\). Zbl 1307.18003Rodabaugh, S. E. 13 2010 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 11 1992 Dynamic topologies and their applications to crisp topologies, fuzzifications of crisp topologies, and fuzzy topologies on the crisp real line. Zbl 0648.54005Rodabaugh, S. E. 11 1988 Overview and comparison of localic and fixed-basis topological products. Zbl 1210.54010Bayoumi, Fatma; Rodabaugh, Stephen E. 11 2010 A lattice of continuities for fuzzy topological spaces. Zbl 0455.54005Rodabaugh, S. E. 10 1981 Formal concept analysis and lattice-valued Chu systems. Zbl 1320.06004Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E. 7 2013 Necessity of non-stratified and anti-stratified spaces in lattice-valued topology. Zbl 1194.54011Rodabaugh, S. E. 6 2010 Necessity of Chang-Goguen topologies. Zbl 0795.54007Rodabaugh, S. E. 5 1992 Errata: ”A categorical accommodation of various notions of fuzzy topology” and ”Complete fuzzy topological hyperfields and fuzzy multiplication in the fuzzy real lines”. Zbl 0603.54005Rodabaugh, S. E. 5 1986 Editorial to the “Special issue on fuzzy topology”. Zbl 0867.54003Höhle, U.; Rodabaugh, S. E.; Šostak, A. 5 1995 Enriched categories and many-valued preorders: categorical, semantical, and topological perspectives. Zbl 1335.68305Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E. 4 2014 Lattice-valued preordered sets as lattice-valued topological systems. Zbl 1360.54012Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 4 2015 Topological systems as a framework for institutions. Zbl 1394.18002Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 3 2016 A categorical accommodation of various notions of fuzzy topology. Zbl 0511.54005Rodabaugh, Stephen E. 2 1981 Sierpinski object for affine systems. Zbl 1372.54007Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 1 2017 Retracts of Tychonoff and normal spaces. Zbl 0259.54010Rodabaugh, Stephen E. 1 1973 Sierpinski object for affine systems. Zbl 1372.54007Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 1 2017 Topological systems as a framework for institutions. Zbl 1394.18002Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 3 2016 Lattice-valued preordered sets as lattice-valued topological systems. Zbl 1360.54012Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 4 2015 Enriched categories and many-valued preorders: categorical, semantical, and topological perspectives. Zbl 1335.68305Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E. 4 2014 Formal concept analysis and lattice-valued Chu systems. Zbl 1320.06004Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E. 7 2013 Interweaving algebra and topology: lattice-valued topological systems. Zbl 1244.54013Denniston, 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 1307.18003Rodabaugh, S. E. 13 2010 Overview and comparison of localic and fixed-basis topological products. Zbl 1210.54010Bayoumi, Fatma; Rodabaugh, Stephen E. 11 2010 Necessity of non-stratified and anti-stratified spaces in lattice-valued topology. Zbl 1194.54011Rodabaugh, S. E. 6 2010 Functorial relationships between lattice-valued topology and topological systems. Zbl 1220.06001Denniston, J. T.; Rodabaugh, S. E. 35 2009 Category theoretic aspects of chain-valued frames. I: Categorical and presheaf theoretic foundations. Zbl 1170.18004Pultr, A.; Rodabaugh, S. E. 23 2008 Category theoretic aspects of chain-valued frames. II: Applications to lattice-valued topology. Zbl 1170.18005Pultr, A.; Rodabaugh, S. E. 19 2008 Relationship of algebraic theories to powerset theories and fuzzy topological theories for lattice-valued mathematics. Zbl 1145.54004Rodabaugh, S. E. 57 2007 Order-theoretic, topological, categorical redundancies of interval-valued sets, grey sets, vague sets, interval-valued “intuitionistic” sets, “intuitionistic” fuzzy sets and topologies. Zbl 1084.03042Gutiérrez García, J.; Rodabaugh, S. E. 45 2005 Lattice-valued frames, functor categories, and classes of sober spaces. (With an appendix by U. Höhle and S. E. Rodabaugh). Zbl 1052.54012Pultr, A.; Rodabaugh, S. E. 25 2003 Topological and algebraic structures in fuzzy sets. A handbook of recent developments in the mathematics of fuzzy sets. Zbl 1020.00006 23 2003 Axiomatic foundations for uniform operator quasi-uniformities. Zbl 1041.54012Rodabaugh, S. E. 21 2003 Examples for different sobrieties in fixed-basis topology. Zbl 1246.54008Pultr, A.; Rodabaugh, S. E. 20 2003 Categorical foundation of variable-basis fuzzy topology. Zbl 0968.54003Rodabaugh, S. E. 126 1999 Powerset operator foundations for poslat fuzzy set theories and topologies. Zbl 0974.03047Rodabaugh, S. E. 101 1999 Mathematics of fuzzy sets. Logic, topology, and measure theory. Zbl 0942.00008 71 1999 Separation axioms: Representation theorems, compactness, and compactifications. Zbl 0968.54004Rodabaugh, S. E. 34 1999 Fuzzy real lines and dual real lines as poslat topological, uniform, and metric ordered semirings with unity. Zbl 1021.54005Rodabaugh, S. E. 20 1999 Powerset operator based foundation for point-set lattice-theoretic (poslat) fuzzy set theories and topologies. Zbl 0911.04003Rodabaugh, Stephen Ernest 50 1997 Applications of localic separation axioms, compactness axioms, representations, and compactifications to poslat topological spaces. Zbl 0867.54007Rodabaugh, S. E. 28 1995 Editorial to the “Special issue on fuzzy topology”. Zbl 0867.54003Höhle, U.; Rodabaugh, S. E.; Šostak, A. 5 1995 Categorical frameworks for Stone representation theories. Zbl 0789.18005Rodabaugh, S. E. 42 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 11 1992 Necessity of Chang-Goguen topologies. Zbl 0795.54007Rodabaugh, S. E. 5 1992 Point-set lattice-theoretic topology. Zbl 0733.54003Rodabaugh, S. E. 94 1991 A theory of fuzzy uniformities with applications to the fuzzy real lines. Zbl 0637.54007Rodabaugh, S. E. 38 1988 Lowen, para-Lowen, and \(\alpha\)-level functors and fuzzy topologies on the crisp real line. Zbl 0648.54006Rodabaugh, 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 0648.54005Rodabaugh, 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 0603.54005Rodabaugh, S. E. 5 1986 Complete fuzzy topological hyperfields and fuzzy multiplication in the fuzzy real lines. Zbl 0572.54006Rodabaugh, S. E. 23 1985 A categorical accommodation of various notions of fuzzy topology. Zbl 0527.54005Rodabaugh, S. E. 65 1983 Separation axioms and the fuzzy real lines. Zbl 0525.54002Rodabaugh, S. E. 38 1983 Fuzzy addition in the L-fuzzy real line. Zbl 0508.54002Rodabaugh, S. E. 69 1982 Connectivity and the L-fuzzy unit interval. Zbl 0508.54003Rodabaugh, S. E. 42 1982 Suitability in fuzzy topological spaces. Zbl 0462.54003Rodabaugh, S. E. 19 1981 A lattice of continuities for fuzzy topological spaces. Zbl 0455.54005Rodabaugh, S. E. 10 1981 A categorical accommodation of various notions of fuzzy topology. Zbl 0511.54005Rodabaugh, Stephen E. 2 1981 The Hausdorff separation axiom for fuzzy topological spaces. Zbl 0484.54008Rodabaugh, S. E. 61 1980 Retracts of Tychonoff and normal spaces. Zbl 0259.54010Rodabaugh, Stephen E. 1 1973 all cited Publications top 5 cited Publications all top 5 Cited by 373 Authors 27 Solovyov, Sergey A. 25 Rodabaugh, Stephen Ernest 22 Shi, Fu-Gui 18 Šostak, Alexander P. 16 Fang, Jinming 15 Gutiérrez García, Javier 15 Kubiak, Tomasz 14 Höhle, Ulrich 14 Yan, Conghua 13 Li, Shenggang 13 Zhang, Dexue 12 Ghareeb, A. 12 Morsi, Nehad Nashaat 12 Srivastava, Arun Kamar 12 Yao, Wei 11 Yue, Yueli 10 El-Saady, Kamal 9 de Prada Vicente, María Angeles 9 Guido, Cosimo 9 Lowen, Robert 8 Fang, Jinxuan 8 Kim, Yong Chan 8 Ramadan, Ahmed Abd El-Kader 7 Demirci, Mustafa 7 Dubois, Didier 7 Jäger, Gunther 7 Luo, Maokang 7 Močkoř, Jiří 7 Prade, Henri M. 6 Ko, Jung Mi 6 Sayed, Osama Rashed 5 Ahsanullah, T. M. G. 5 Alderton, Ian W. 5 Denniston, Jeffrey T. 5 Eroğlu, Mehmet Sait 5 Katsaras, Athanasios K. 5 Melton, Austin C. jun. 5 Pang, Bin 5 Paseka, Jan 5 Zheng, Chongyou 4 Ajmal, Naseem 4 Al-Mufarrij, Jawaher 4 Ali, Dewan Muslim 4 Bayoumi, Fatma 4 Diker, Murat 4 Li, Hongyan 4 Li, Sanjiang 4 Mardones-Pérez, Iraide 4 Mathew, Sunil C. 4 Romaguera Bonilla, Salvador 4 Sarma, Ratna Dev 4 Zhao, Bin 3 Abbas, Salah El-Deen 3 Abd-Allah, Mohammed Azab 3 Abd El-Latif, Ahmed Aref 3 Asmuss, Svetlana V. 3 Aygün, Halis 3 Bai, Shizhong 3 Brown, Lawrence Michael 3 Chakraborty, Mihir Kumar 3 Dost, Şenol 3 Eklund, Patrik E. 3 Fathalla, M. A. 3 Frascella, Anna 3 Han, Sang-Eon 3 Hashem, Khaled A. 3 Kerre, Etienne E. 3 Khalil, O. H. 3 Klein, Albert J. 3 Klement, Erich Peter 3 Li, Lingqiang 3 Liu, Yingming 3 Mahmoud, F. S. 3 Mohammed, Fatimah M. 3 Noor, Rana 3 Noorani, Mohd Salmi Mohd 3 Russo, Ciro 3 Srivastava, Rekha 3 Stehlík, Milan 3 Uļjane, Ingrǐda 3 Vadivel, Appachi 3 Wang, Geping 3 Wang, Guojun 3 Wang, Kaiyun 3 Warner, Mary Wynne 3 Zhang, Lili 2 Al-Thukair, Fawzi A. 2 Amer, Mustafa A. 2 Castellini, Gabriele 2 Çetkin, Vildan 2 Cho, Seonghoon 2 De La Pava, Luz Victoria 2 De Mitri, Cosimo 2 El-Abyad, Abdelwahab M. 2 El-Hamouly, Hassan M. 2 Eļkins, Aleksandrs 2 Elkordy, E. H. 2 Fan, Lei 2 Fan, Taihe 2 Flaut, Cristina ...and 273 more Authors all top 5 Cited in 70 Serials 284 Fuzzy Sets and Systems 21 Soft Computing 16 Information Sciences 15 Journal of Mathematical Analysis and Applications 13 Quaestiones Mathematicae 12 Journal of Intelligent and Fuzzy Systems 10 Iranian Journal of Fuzzy Systems 9 Computers & Mathematics with Applications 9 Journal of the Egyptian Mathematical Society 6 International Journal of Mathematics and Mathematical Sciences 5 Applied Mathematics and Computation 5 Topology and its Applications 4 International Journal of Approximate Reasoning 4 New Mathematics and Natural Computation 3 Chaos, Solitons and Fractals 3 Kybernetika 3 Order 3 Applied Mathematics Letters 3 Filomat 3 Advances in Fuzzy Systems 3 Fuzzy Information and Engineering 3 Open Mathematics 3 Korean Journal of 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 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 South East Asian Journal of Mathematics and Mathematical Sciences 2 Proyecciones 2 Applications and Applied Mathematics 2 Journal of Advanced Studies in Topology 2 Journal of Applied Mathematics & Informatics 1 International Journal of General Systems 1 Algebra Universalis 1 Czechoslovak Mathematical Journal 1 Journal of Computational and Applied Mathematics 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 MSCS. 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 Abstract and Applied Analysis 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 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 Journal of Mahani Mathematical Research Center 1 Axioms 1 Mathematical Sciences 1 Journal of Mathematics 1 Mathematics 1 Journal of Function Spaces 1 Journal of Logical and Algebraic Methods in Programming all top 5 Cited in 32 Fields 384 General topology (54-XX) 118 Order, lattices, ordered algebraic structures (06-XX) 110 Mathematical logic and foundations (03-XX) 99 Category theory; homological algebra (18-XX) 24 Functional analysis (46-XX) 23 Computer science (68-XX) 14 Real functions (26-XX) 11 General algebraic systems (08-XX) 8 Topological groups, Lie groups (22-XX) 7 Probability theory and stochastic processes (60-XX) 7 Information and communication theory, circuits (94-XX) 5 History and biography (01-XX) 5 Group theory and generalizations (20-XX) 5 Measure and integration (28-XX) 3 Sequences, series, summability (40-XX) 3 Convex and discrete geometry (52-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-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 Commutative algebra (13-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) Citations by Year