Edit Profile (opens in new tab) Murofushi, Toshiaki Compute Distance To: Compute Author ID: murofushi.toshiaki Published as: Murofushi, Toshiaki; Murofushi, T. Documents Indexed: 54 Publications since 1987 3 Contributions as Editor Co-Authors: 20 Co-Authors with 51 Joint Publications 365 Co-Co-Authors all top 5 Co-Authors 6 single-authored 27 Sugeno, Michio 16 Narukawa, Yasuo 10 Fujimoto, Katsushige 4 Asahina, Shin 3 Grabisch, Michel 3 Uchino, Kenta 2 Takahashi, Masayuki 1 Guan, Li 1 Kawabe, Jun 1 Li, Shoumei 1 Machida, Motoya 1 Nakamura, Shinsuke 1 Okazaki, Yoshiaki 1 Sakurai, Tomoaki 1 Sawata, Yoshinari 1 Sujino, Satoru 1 Suzaki, Manabu 1 Takahashi, Wataru 1 Takasawa, Toshiyuki 1 Tsukada, Makoto all top 5 Serials 22 Fuzzy Sets and Systems 8 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 4 Journal of Mathematical Analysis and Applications 3 Japanese Journal of Fuzzy Theory and Systems 3 RIMS Kokyuroku 1 IMA Journal of Applied Mathematics 1 International Journal of Intelligent Systems 1 Studies in Fuzziness and Soft Computing 1 Advances in Intelligent and Soft Computing 1 Linear and Nonlinear Analysis all top 5 Fields 54 Measure and integration (28-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Mathematical logic and foundations (03-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 42 Publications have been cited 808 times in 515 Documents Cited by ▼ Year ▼ Pseudo-additive measures and integrals. Zbl 0611.28010Sugeno, M.; Murofushi, T. 137 1987 An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure. Zbl 0662.28015Murofushi, Toshiaki; Sugeno, Michio 102 1989 A theory of fuzzy measures: Representations, the Choquet integral, and null sets. Zbl 0735.28015Murofushi, Toshiaki; Sugeno, Michio 81 1991 Fuzzy measures and integrals. Theory and applications. Zbl 0935.00014 67 2000 Fuzzy t-conorm integral with respect to fuzzy measures: Generalization of Sugeno integral and Choquet integral. Zbl 0733.28014Murofushi, T.; Sugeno, M. 60 1991 Non-monotonic fuzzy measures and the Choquet integral. Zbl 0844.28015Murofushi, Toshiaki; Sugeno, Michio; Machida, Motoya 47 1994 Some quantities represented by the Choquet integral. Zbl 0816.28012Murofushi, Toshiaki; Sugeno, Michio 40 1993 Choquet integral models and independence concepts in multiattribute utility theory. Zbl 1113.91313Murofushi, T.; Sugeno, M. 38 2000 Fuzzy measures and fuzzy integrals. Zbl 0967.28015Murofushi, Toshiaki; Sugeno, Michio 28 2000 Regular fuzzy measure and representation of comonotonically additive functional. Zbl 0954.28007Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio 22 2000 Fuzzy measure of fuzzy events defined by fuzzy integrals. Zbl 0785.28011Grabisch, Michel; Murofushi, Toshiaki; Sugeno, Michio 22 1992 Conditions for Egoroff’s theorem in non-additive measure theory. Zbl 1046.28013Murofushi, Toshiaki; Uchino, Kenta; Asahina, Shin 19 2004 Choquet integral and fuzzy measures on locally compact space. Zbl 0977.28012Sugeno, Michio; Narukawa, Yasuo; Murofushi, Toshiaki 17 1998 A hierarchical decomposition of Choquet integral model. Zbl 1232.93010Sugeno, Michio; Fujimoto, Katsushige; Murofushi, Toshiaki 13 1995 Autocontinuity, convergence in measure, and convergence in distribution. Zbl 0927.28012Murofushi, Toshiaki; Sugeno, Michio; Suzaki, Manabu 11 1997 Separated hierarchical decomposition of the Choquet integral. Zbl 1232.28023Murofushi, Toshiaki; Sugeno, Michio; Fujimoto, Katsushige 10 1997 Regular non-additive measure and Choquet integral. Zbl 1044.28015Narukawa, Yasuo; Murofushi, Toshiaki 10 2004 Space of fuzzy measures and convergence. Zbl 1094.28013Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio 8 2003 Boundedness and symmetry of comonotonically additive functionals. Zbl 0979.28009Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio 7 2001 Conditions for Choquet integral representation of the comonotonically additive and monotone functional. Zbl 1045.28015Narukawa, Yasuo; Murofushi, Toshiaki 7 2003 Relationship among continuity conditions and null-additivity conditions in non-additive measure theory. Zbl 1091.28010Asahina, Shin; Uchino, Kenta; Murofushi, Toshiaki 6 2006 Continuous-from-above possibility measures and f-additive fuzzy measures on separable metric spaces: Characterization and regularity. Zbl 0785.28013Murofushi, Toshiaki; Sugeno, Michio 6 1993 Extension and representation of comonotonically additive functionals. Zbl 0985.28013Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio 5 2001 Choquet-Stieltjes integral as a tool for decision modeling. Zbl 1148.91012Narukawa, Yasuo; Murofushi, Toshiaki 5 2008 Duality and ordinality in fuzzy measure theory. Zbl 1098.28008Murofushi, Toshiaki 4 2003 Some characterizations of the systems represented by Choquet and multi-linear functionals through the use of Möbius inversion. Zbl 1232.68129Fujimoto, Katsushige; Murofushi, Toshiaki 4 1997 \(k\)-additivity and \(\mathcal C\)-decomposability of bi-capacities and its integral. Zbl 1127.28012Fujimoto, Katsushige; Murofushi, Toshiaki; Sugeno, Michio 3 2007 Canonical separated hierarchical decomposition of the Choquet integral over a finite set. Zbl 1087.28507Murofushi, Toshiaki; Fujimoto, Katsushige; Sugeno, Michio 3 1998 Hierarchical decomposition of the Choquet integral. Zbl 0960.28012Fujimoto, Katsushige; Murofushi, Toshiaki 3 2000 Two-valued possibility measures induced by \(\sigma\)-finite \(\sigma\)-additive measures. Zbl 0996.28009Murofushi, Toshiaki 3 2002 A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory. Zbl 1315.28015Takahashi, Masayuki; Murofushi, Toshiaki; Asahina, Shin 3 2014 Decision modelling using the Choquet integral. Zbl 1109.91333Narukawa, Yasuo; Murofushi, Toshiaki 2 2004 Erratum to “Relationship among continuity conditions and null-additivity conditions in non-additive measure theory”. Zbl 1104.28306Asahina, Shin; Uchino, Kenta; Murofushi, Toshiaki 2 2006 Canonical hierarchical decomposition of Choquet integral over finite set with respect to null additive fuzzy measure. Zbl 1087.28506Fujimoto, Katsushige; Murofushi, Toshiaki; Sugeno, Michio 2 1998 Fuzzy measure of fuzzy events defined by fuzzy integrals. Zbl 0805.28013Grabisch, M.; Murofushi, T.; Sugeno, M. 2 1991 The Choquet integral in multiattribute decision making. Zbl 0984.91027Murofushi, Toshiaki; Sugeno, Michio 2 2000 Choquet integral and Sugeno integral as aggregation functions. Zbl 1053.28008Narukawa, Yasuo; Murofushi, Toshiaki 2 2003 A note on upper and lower Sugeno integrals. Zbl 1094.28012Murofushi, Toshiaki 1 2003 Extensions of (weakly) null-additive, monotone set functions from rings of subsets to generated algebras. Zbl 1143.28007Murofushi, Toshiaki 1 2007 Set-operational properties of semiatoms in non-additive measure theory. Zbl 0999.28010Murofushi, Toshiaki; Fujimoto, Katsushige 1 2001 Conditional probabilities and fuzzy entropy. Zbl 0808.60004Murofushi, T. 1 1990 Additive decompositions of submodular set functions and their generalizations. Zbl 1136.28300Murofushi, Toshiaki; Sawata, Yoshinari; Fujimoto, Katsushige 1 2007 A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory. Zbl 1315.28015Takahashi, Masayuki; Murofushi, Toshiaki; Asahina, Shin 3 2014 Choquet-Stieltjes integral as a tool for decision modeling. Zbl 1148.91012Narukawa, Yasuo; Murofushi, Toshiaki 5 2008 \(k\)-additivity and \(\mathcal C\)-decomposability of bi-capacities and its integral. Zbl 1127.28012Fujimoto, Katsushige; Murofushi, Toshiaki; Sugeno, Michio 3 2007 Extensions of (weakly) null-additive, monotone set functions from rings of subsets to generated algebras. Zbl 1143.28007Murofushi, Toshiaki 1 2007 Additive decompositions of submodular set functions and their generalizations. Zbl 1136.28300Murofushi, Toshiaki; Sawata, Yoshinari; Fujimoto, Katsushige 1 2007 Relationship among continuity conditions and null-additivity conditions in non-additive measure theory. Zbl 1091.28010Asahina, Shin; Uchino, Kenta; Murofushi, Toshiaki 6 2006 Erratum to “Relationship among continuity conditions and null-additivity conditions in non-additive measure theory”. Zbl 1104.28306Asahina, Shin; Uchino, Kenta; Murofushi, Toshiaki 2 2006 Conditions for Egoroff’s theorem in non-additive measure theory. Zbl 1046.28013Murofushi, Toshiaki; Uchino, Kenta; Asahina, Shin 19 2004 Regular non-additive measure and Choquet integral. Zbl 1044.28015Narukawa, Yasuo; Murofushi, Toshiaki 10 2004 Decision modelling using the Choquet integral. Zbl 1109.91333Narukawa, Yasuo; Murofushi, Toshiaki 2 2004 Space of fuzzy measures and convergence. Zbl 1094.28013Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio 8 2003 Conditions for Choquet integral representation of the comonotonically additive and monotone functional. Zbl 1045.28015Narukawa, Yasuo; Murofushi, Toshiaki 7 2003 Duality and ordinality in fuzzy measure theory. Zbl 1098.28008Murofushi, Toshiaki 4 2003 Choquet integral and Sugeno integral as aggregation functions. Zbl 1053.28008Narukawa, Yasuo; Murofushi, Toshiaki 2 2003 A note on upper and lower Sugeno integrals. Zbl 1094.28012Murofushi, Toshiaki 1 2003 Two-valued possibility measures induced by \(\sigma\)-finite \(\sigma\)-additive measures. Zbl 0996.28009Murofushi, Toshiaki 3 2002 Boundedness and symmetry of comonotonically additive functionals. Zbl 0979.28009Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio 7 2001 Extension and representation of comonotonically additive functionals. Zbl 0985.28013Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio 5 2001 Set-operational properties of semiatoms in non-additive measure theory. Zbl 0999.28010Murofushi, Toshiaki; Fujimoto, Katsushige 1 2001 Fuzzy measures and integrals. Theory and applications. Zbl 0935.00014 67 2000 Choquet integral models and independence concepts in multiattribute utility theory. Zbl 1113.91313Murofushi, T.; Sugeno, M. 38 2000 Fuzzy measures and fuzzy integrals. Zbl 0967.28015Murofushi, Toshiaki; Sugeno, Michio 28 2000 Regular fuzzy measure and representation of comonotonically additive functional. Zbl 0954.28007Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio 22 2000 Hierarchical decomposition of the Choquet integral. Zbl 0960.28012Fujimoto, Katsushige; Murofushi, Toshiaki 3 2000 The Choquet integral in multiattribute decision making. Zbl 0984.91027Murofushi, Toshiaki; Sugeno, Michio 2 2000 Choquet integral and fuzzy measures on locally compact space. Zbl 0977.28012Sugeno, Michio; Narukawa, Yasuo; Murofushi, Toshiaki 17 1998 Canonical separated hierarchical decomposition of the Choquet integral over a finite set. Zbl 1087.28507Murofushi, Toshiaki; Fujimoto, Katsushige; Sugeno, Michio 3 1998 Canonical hierarchical decomposition of Choquet integral over finite set with respect to null additive fuzzy measure. Zbl 1087.28506Fujimoto, Katsushige; Murofushi, Toshiaki; Sugeno, Michio 2 1998 Autocontinuity, convergence in measure, and convergence in distribution. Zbl 0927.28012Murofushi, Toshiaki; Sugeno, Michio; Suzaki, Manabu 11 1997 Separated hierarchical decomposition of the Choquet integral. Zbl 1232.28023Murofushi, Toshiaki; Sugeno, Michio; Fujimoto, Katsushige 10 1997 Some characterizations of the systems represented by Choquet and multi-linear functionals through the use of Möbius inversion. Zbl 1232.68129Fujimoto, Katsushige; Murofushi, Toshiaki 4 1997 A hierarchical decomposition of Choquet integral model. Zbl 1232.93010Sugeno, Michio; Fujimoto, Katsushige; Murofushi, Toshiaki 13 1995 Non-monotonic fuzzy measures and the Choquet integral. Zbl 0844.28015Murofushi, Toshiaki; Sugeno, Michio; Machida, Motoya 47 1994 Some quantities represented by the Choquet integral. Zbl 0816.28012Murofushi, Toshiaki; Sugeno, Michio 40 1993 Continuous-from-above possibility measures and f-additive fuzzy measures on separable metric spaces: Characterization and regularity. Zbl 0785.28013Murofushi, Toshiaki; Sugeno, Michio 6 1993 Fuzzy measure of fuzzy events defined by fuzzy integrals. Zbl 0785.28011Grabisch, Michel; Murofushi, Toshiaki; Sugeno, Michio 22 1992 A theory of fuzzy measures: Representations, the Choquet integral, and null sets. Zbl 0735.28015Murofushi, Toshiaki; Sugeno, Michio 81 1991 Fuzzy t-conorm integral with respect to fuzzy measures: Generalization of Sugeno integral and Choquet integral. Zbl 0733.28014Murofushi, T.; Sugeno, M. 60 1991 Fuzzy measure of fuzzy events defined by fuzzy integrals. Zbl 0805.28013Grabisch, M.; Murofushi, T.; Sugeno, M. 2 1991 Conditional probabilities and fuzzy entropy. Zbl 0808.60004Murofushi, T. 1 1990 An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure. Zbl 0662.28015Murofushi, Toshiaki; Sugeno, Michio 102 1989 Pseudo-additive measures and integrals. Zbl 0611.28010Sugeno, M.; Murofushi, T. 137 1987 all cited Publications top 5 cited Publications all top 5 Cited by 528 Authors 64 Mesiar, Radko 34 Pap, Endre 24 Murofushi, Toshiaki 23 Li, Jun 20 Narukawa, Yasuo 20 Ouyang, Yao 19 Grabisch, Michel 17 Torra, Vicenç 16 Sugeno, Michio 15 Agahi, Hamzeh 15 Wang, Zhenyuan 14 Yager, Ronald R. 13 Marichal, Jean-Luc 12 Dubois, Didier 11 Kawabe, Jun 9 Labreuche, Christophe 9 Leung, Kwong-Sak 9 Prade, Henri M. 9 Štrboja, Mirjana 7 Greco, Salvatore 7 Kolesárová, Anna 7 Mihailović, Biljana P. 7 Rico, Agnés 7 Zhang, Qiang 6 Gavrilut, Alina Cristiana 6 Wu, Congxin 6 Zhang, Deli 5 Babakhani, Azizollah 5 Couceiro, Miguel 5 Daraby, Bayaz 5 Guo, Caimei 5 Hu, Yichung 5 Hutník, Ondrej 5 Klement, Erich Peter 5 Klir, George J. 5 Kojadinovic, Ivan 5 Wu, Jianzhang 4 Bustince, Humberto 4 Calvo, Tomasa 4 Gong, Zengtai 4 Marques Pereira, Ricardo Alberto 4 Mesiarová-Zemánková, Andrea 4 Poncet, Paul 4 Qiu, Dong 4 Sirbiladze, Gia Guram 4 Stupňanová, Andrea 4 Wakker, Peter Paul 4 Wang, Guijun 4 Xu, Kebin 3 Ahmad, Khurshid 3 Alajlan, Naif 3 Asahina, Shin 3 Ban, Adrian I. 3 Bedregal, Benjamín René Callejas 3 Benvenuti, Pietro 3 Boczek, Michal 3 Borkotokey, Surajit 3 Bortot, Silvia 3 Combarro, Elías F. 3 Dimuro, Graçaliz Pereira 3 Fang, Jinxuan 3 Fargier, Hélène 3 Fernández Fernández, Francisco Javier 3 Fujimoto, Katsushige 3 Giove, Silvio 3 Godo, Lluís 3 Ha, Minghu 3 Halčinová, Lenka 3 Heng, Pheng-Ann 3 Kałuszka, Marek 3 Lehrer, Ehud 3 Li, Gang 3 Li, Yongming 3 Liu, Baoding 3 Maccheroni, Fabio 3 Matarazzo, Benedetto 3 Meng, Fanyong 3 Mesiarová, Andrea 3 Mohammadpour, Adel 3 Pocs, Jozef 3 Precupanu, Anca-Maria 3 Ralescu, Dan A. 3 Rébillé, Yann 3 Ren, Xuekun 3 Rindone, Fabio 3 Roubens, Marc 3 Sander, Wolfgang 3 Siedekum, Jens 3 Strauss, Olivier 3 Takahagi, Eiichiro 3 Wang, Hongxia 3 Watanabe, Toshikazu 3 Wong, Man Leung 2 Angilella, Silvia 2 Caballero, Josefa 2 Candeloro, Domenico 2 Cardin, Marta 2 Cerreia-Vioglio, Simone 2 Chen, Degang 2 Chen, Mianyun ...and 428 more Authors all top 5 Cited in 95 Serials 177 Fuzzy Sets and Systems 33 Information Sciences 27 International Journal of Approximate Reasoning 25 European Journal of Operational Research 23 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 17 Soft Computing 13 Journal of Mathematical Analysis and Applications 10 International Journal of General Systems 10 Kybernetika 10 Annals of Operations Research 10 Fuzzy Optimization and Decision Making 9 Applied Mathematics and Computation 8 International Journal of Intelligent Systems 4 Journal of Applied Mathematics 3 Mathematica Slovaca 3 Mathematical and Computer Modelling 3 Pattern Recognition 3 Journal of Inequalities and Applications 3 Journal of Intelligent and Fuzzy Systems 3 Iranian Journal of Fuzzy Systems 2 Discrete Applied Mathematics 2 Journal of Mathematical Psychology 2 Opsearch 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Results in Mathematics 2 Mathematical Social Sciences 2 International Journal of Production Research 2 Computers & Operations Research 2 Applied Mathematics Letters 2 Aequationes Mathematicae 2 Computational and Applied Mathematics 2 Economic Theory 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 Decisions in Economics and Finance 2 Asian-European Journal of Mathematics 2 Science China. Information Sciences 2 Journal of Pseudo-Differential Operators and Applications 2 Symmetry 2 Journal of Function Spaces 2 Nonlinear Analysis. Theory, Methods & Applications 2 Sahand Communications in Mathematical Analysis 1 Artificial Intelligence 1 Computers & Mathematics with Applications 1 Discrete Mathematics 1 International Journal of Theoretical Physics 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Chaos, Solitons and Fractals 1 Automatica 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Economic Theory 1 Journal of Mathematical Economics 1 Journal of Statistical Planning and Inference 1 Mathematics and Computers in Simulation 1 Mathematics of Operations Research 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Operations Research 1 Theory and Decision 1 Transactions of the American Mathematical Society 1 Annals of Pure and Applied Logic 1 Sugaku Expositions 1 Machine Learning 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Mathematical Programming. Series A. Series B 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 Journal of Mathematical Imaging and Vision 1 Journal of Computer and Systems Sciences International 1 Statistical Papers 1 Top 1 Journal of Multi-Criteria Decision Analysis 1 International Transactions in Operational Research 1 Mathematical Finance 1 Optimization Methods & Software 1 Mathematical Methods of Operations Research 1 PAA. Pattern Analysis and Applications 1 Journal of Interdisciplinary Mathematics 1 Journal of Applied Mathematics and Computing 1 4OR 1 Oberwolfach Reports 1 Journal of Industrial and Management Optimization 1 International Journal of Information Technology & Decision Making 1 Bulletin of the Georgian National Academy of Sciences. New Series 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Fuzzy Information and Engineering 1 Journal of Applied Analysis and Computation 1 Axioms 1 Caspian Journal of Applied Mathematics, Ecology and Economics 1 Open Mathematics 1 Korean Journal of Mathematics 1 Bollettino dell’Unione Matematica Italiana 1 AIMS Mathematics all top 5 Cited in 35 Fields 341 Measure and integration (28-XX) 87 Computer science (68-XX) 76 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 65 Operations research, mathematical programming (90-XX) 58 Real functions (26-XX) 44 Mathematical logic and foundations (03-XX) 18 Probability theory and stochastic processes (60-XX) 17 Statistics (62-XX) 17 Information and communication theory, circuits (94-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 7 Functional analysis (46-XX) 6 General topology (54-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Difference and functional equations (39-XX) 4 Biology and other natural sciences (92-XX) 4 Systems theory; control (93-XX) 3 Combinatorics (05-XX) 3 Group theory and generalizations (20-XX) 3 Partial differential equations (35-XX) 3 Integral transforms, operational calculus (44-XX) 3 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year