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Murofushi, Toshiaki

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 Author ID: murofushi.toshiaki Published as: Murofushi, T.; Murofushi, Toshiaki
 Documents Indexed: 57 Publications since 1987, including 3 Books
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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 1 Wang, Xia
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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
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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)

Citations contained in zbMATH

42 Publications have been cited 771 times in 482 Documents Cited by Year
Pseudo-additive measures and integrals. Zbl 0611.28010
Sugeno, M.; Murofushi, T.
1987
An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure. Zbl 0662.28015
Murofushi, Toshiaki; Sugeno, Michio
1989
Fuzzy measures and integrals. Theory and applications. Zbl 0935.00014
Grabisch, Michel (ed.); Murofushi, Toshiaki (ed.); Sugeno, Michio (ed.)
2000
A theory of fuzzy measures: Representations, the Choquet integral, and null sets. Zbl 0735.28015
Murofushi, Toshiaki; Sugeno, Michio
1991
Fuzzy t-conorm integral with respect to fuzzy measures: Generalization of Sugeno integral and Choquet integral. Zbl 0733.28014
Murofushi, T.; Sugeno, M.
1991
Non-monotonic fuzzy measures and the Choquet integral. Zbl 0844.28015
Murofushi, Toshiaki; Sugeno, Michio; Machida, Motoya
1994
Fuzzy measures and fuzzy integrals. Zbl 0967.28015
Murofushi, Toshiaki; Sugeno, Michio
2000
Some quantities represented by the Choquet integral. Zbl 0816.28012
Murofushi, Toshiaki; Sugeno, Michio
1993
Choquet integral models and independence concepts in multiattribute utility theory. Zbl 1113.91313
Murofushi, T.; Sugeno, M.
2000
Regular fuzzy measure and representation of comonotonically additive functional. Zbl 0954.28007
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
2000
Fuzzy measure of fuzzy events defined by fuzzy integrals. Zbl 0785.28011
Grabisch, Michel; Murofushi, Toshiaki; Sugeno, Michio
1992
Conditions for Egoroff’s theorem in non-additive measure theory. Zbl 1046.28013
Murofushi, Toshiaki; Uchino, Kenta; Asahina, Shin
2004
Choquet integral and fuzzy measures on locally compact space. Zbl 0977.28012
Sugeno, Michio; Narukawa, Yasuo; Murofushi, Toshiaki
1998
A hierarchical decomposition of Choquet integral model. Zbl 1232.93010
Sugeno, Michio; Fujimoto, Katsushige; Murofushi, Toshiaki
1995
Separated hierarchical decomposition of the Choquet integral. Zbl 1232.28023
Murofushi, Toshiaki; Sugeno, Michio; Fujimoto, Katsushige
1997
Regular non-additive measure and Choquet integral. Zbl 1044.28015
Narukawa, Yasuo; Murofushi, Toshiaki
2004
Space of fuzzy measures and convergence. Zbl 1094.28013
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
2003
Autocontinuity, convergence in measure, and convergence in distribution. Zbl 0927.28012
Murofushi, Toshiaki; Sugeno, Michio; Suzaki, Manabu
1997
Boundedness and symmetry of comonotonically additive functionals. Zbl 0979.28009
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
2001
Choquet-Stieltjes integral as a tool for decision modeling. Zbl 1148.91012
Narukawa, Yasuo; Murofushi, Toshiaki
2008
Relationship among continuity conditions and null-additivity conditions in non-additive measure theory. Zbl 1091.28010
Asahina, Shin; Uchino, Kenta; Murofushi, Toshiaki
2006
Some characterizations of the systems represented by Choquet and multi-linear functionals through the use of Möbius inversion. Zbl 1232.68129
Fujimoto, Katsushige; Murofushi, Toshiaki
1997
Continuous-from-above possibility measures and f-additive fuzzy measures on separable metric spaces: Characterization and regularity. Zbl 0785.28013
Murofushi, Toshiaki; Sugeno, Michio
1993
Duality and ordinality in fuzzy measure theory. Zbl 1098.28008
Murofushi, Toshiaki
2003
Conditions for Choquet integral representation of the comonotonically additive and monotone functional. Zbl 1045.28015
Narukawa, Yasuo; Murofushi, Toshiaki
2003
Extension and representation of comonotonically additive functionals. Zbl 0985.28013
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
2001
Fuzzy measure of fuzzy events defined by fuzzy integrals. Zbl 0805.28013
Grabisch, M.; Murofushi, T.; Sugeno, M.
1991
$$k$$-additivity and $$\mathcal C$$-decomposability of bi-capacities and its integral. Zbl 1127.28012
Fujimoto, Katsushige; Murofushi, Toshiaki; Sugeno, Michio
2007
Decision modelling using the Choquet integral. Zbl 1109.91333
Narukawa, Yasuo; Murofushi, Toshiaki
2004
Choquet integral and Sugeno integral as aggregation functions. Zbl 1053.28008
Narukawa, Yasuo; Murofushi, Toshiaki
2003
Two-valued possibility measures induced by $$\sigma$$-finite $$\sigma$$-additive measures. Zbl 0996.28009
Murofushi, Toshiaki
2002
The Choquet integral in multiattribute decision making. Zbl 0984.91027
Murofushi, Toshiaki; Sugeno, Michio
2000
Hierarchical decomposition of the Choquet integral. Zbl 0960.28012
Fujimoto, Katsushige; Murofushi, Toshiaki
2000
Canonical separated hierarchical decomposition of the Choquet integral over a finite set. Zbl 1087.28507
Murofushi, Toshiaki; Fujimoto, Katsushige; Sugeno, Michio
1998
A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory. Zbl 1315.28015
Takahashi, Masayuki; Murofushi, Toshiaki; Asahina, Shin
2014
Additive decompositions of submodular set functions and their generalizations. Zbl 1136.28300
Murofushi, Toshiaki; Sawata, Yoshinari; Fujimoto, Katsushige
2007
Extensions of (weakly) null-additive, monotone set functions from rings of subsets to generated algebras. Zbl 1143.28007
Murofushi, Toshiaki
2007
Erratum to “Relationship among continuity conditions and null-additivity conditions in non-additive measure theory”. Zbl 1104.28306
Asahina, Shin; Uchino, Kenta; Murofushi, Toshiaki
2006
A note on upper and lower Sugeno integrals. Zbl 1094.28012
Murofushi, Toshiaki
2003
Set-operational properties of semiatoms in non-additive measure theory. Zbl 0999.28010
Murofushi, Toshiaki; Fujimoto, Katsushige
2001
Canonical hierarchical decomposition of Choquet integral over finite set with respect to null additive fuzzy measure. Zbl 1087.28506
Fujimoto, Katsushige; Murofushi, Toshiaki; Sugeno, Michio
1998
Conditional probabilities and fuzzy entropy. Zbl 0808.60004
Murofushi, T.
1990
A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory. Zbl 1315.28015
Takahashi, Masayuki; Murofushi, Toshiaki; Asahina, Shin
2014
Choquet-Stieltjes integral as a tool for decision modeling. Zbl 1148.91012
Narukawa, Yasuo; Murofushi, Toshiaki
2008
$$k$$-additivity and $$\mathcal C$$-decomposability of bi-capacities and its integral. Zbl 1127.28012
Fujimoto, Katsushige; Murofushi, Toshiaki; Sugeno, Michio
2007
Additive decompositions of submodular set functions and their generalizations. Zbl 1136.28300
Murofushi, Toshiaki; Sawata, Yoshinari; Fujimoto, Katsushige
2007
Extensions of (weakly) null-additive, monotone set functions from rings of subsets to generated algebras. Zbl 1143.28007
Murofushi, Toshiaki
2007
Relationship among continuity conditions and null-additivity conditions in non-additive measure theory. Zbl 1091.28010
Asahina, Shin; Uchino, Kenta; Murofushi, Toshiaki
2006
Erratum to “Relationship among continuity conditions and null-additivity conditions in non-additive measure theory”. Zbl 1104.28306
Asahina, Shin; Uchino, Kenta; Murofushi, Toshiaki
2006
Conditions for Egoroff’s theorem in non-additive measure theory. Zbl 1046.28013
Murofushi, Toshiaki; Uchino, Kenta; Asahina, Shin
2004
Regular non-additive measure and Choquet integral. Zbl 1044.28015
Narukawa, Yasuo; Murofushi, Toshiaki
2004
Decision modelling using the Choquet integral. Zbl 1109.91333
Narukawa, Yasuo; Murofushi, Toshiaki
2004
Space of fuzzy measures and convergence. Zbl 1094.28013
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
2003
Duality and ordinality in fuzzy measure theory. Zbl 1098.28008
Murofushi, Toshiaki
2003
Conditions for Choquet integral representation of the comonotonically additive and monotone functional. Zbl 1045.28015
Narukawa, Yasuo; Murofushi, Toshiaki
2003
Choquet integral and Sugeno integral as aggregation functions. Zbl 1053.28008
Narukawa, Yasuo; Murofushi, Toshiaki
2003
A note on upper and lower Sugeno integrals. Zbl 1094.28012
Murofushi, Toshiaki
2003
Two-valued possibility measures induced by $$\sigma$$-finite $$\sigma$$-additive measures. Zbl 0996.28009
Murofushi, Toshiaki
2002
Boundedness and symmetry of comonotonically additive functionals. Zbl 0979.28009
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
2001
Extension and representation of comonotonically additive functionals. Zbl 0985.28013
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
2001
Set-operational properties of semiatoms in non-additive measure theory. Zbl 0999.28010
Murofushi, Toshiaki; Fujimoto, Katsushige
2001
Fuzzy measures and integrals. Theory and applications. Zbl 0935.00014
Grabisch, Michel (ed.); Murofushi, Toshiaki (ed.); Sugeno, Michio (ed.)
2000
Fuzzy measures and fuzzy integrals. Zbl 0967.28015
Murofushi, Toshiaki; Sugeno, Michio
2000
Choquet integral models and independence concepts in multiattribute utility theory. Zbl 1113.91313
Murofushi, T.; Sugeno, M.
2000
Regular fuzzy measure and representation of comonotonically additive functional. Zbl 0954.28007
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
2000
The Choquet integral in multiattribute decision making. Zbl 0984.91027
Murofushi, Toshiaki; Sugeno, Michio
2000
Hierarchical decomposition of the Choquet integral. Zbl 0960.28012
Fujimoto, Katsushige; Murofushi, Toshiaki
2000
Choquet integral and fuzzy measures on locally compact space. Zbl 0977.28012
Sugeno, Michio; Narukawa, Yasuo; Murofushi, Toshiaki
1998
Canonical separated hierarchical decomposition of the Choquet integral over a finite set. Zbl 1087.28507
Murofushi, Toshiaki; Fujimoto, Katsushige; Sugeno, Michio
1998
Canonical hierarchical decomposition of Choquet integral over finite set with respect to null additive fuzzy measure. Zbl 1087.28506
Fujimoto, Katsushige; Murofushi, Toshiaki; Sugeno, Michio
1998
Separated hierarchical decomposition of the Choquet integral. Zbl 1232.28023
Murofushi, Toshiaki; Sugeno, Michio; Fujimoto, Katsushige
1997
Autocontinuity, convergence in measure, and convergence in distribution. Zbl 0927.28012
Murofushi, Toshiaki; Sugeno, Michio; Suzaki, Manabu
1997
Some characterizations of the systems represented by Choquet and multi-linear functionals through the use of Möbius inversion. Zbl 1232.68129
Fujimoto, Katsushige; Murofushi, Toshiaki
1997
A hierarchical decomposition of Choquet integral model. Zbl 1232.93010
Sugeno, Michio; Fujimoto, Katsushige; Murofushi, Toshiaki
1995
Non-monotonic fuzzy measures and the Choquet integral. Zbl 0844.28015
Murofushi, Toshiaki; Sugeno, Michio; Machida, Motoya
1994
Some quantities represented by the Choquet integral. Zbl 0816.28012
Murofushi, Toshiaki; Sugeno, Michio
1993
Continuous-from-above possibility measures and f-additive fuzzy measures on separable metric spaces: Characterization and regularity. Zbl 0785.28013
Murofushi, Toshiaki; Sugeno, Michio
1993
Fuzzy measure of fuzzy events defined by fuzzy integrals. Zbl 0785.28011
Grabisch, Michel; Murofushi, Toshiaki; Sugeno, Michio
1992
A theory of fuzzy measures: Representations, the Choquet integral, and null sets. Zbl 0735.28015
Murofushi, Toshiaki; Sugeno, Michio
1991
Fuzzy t-conorm integral with respect to fuzzy measures: Generalization of Sugeno integral and Choquet integral. Zbl 0733.28014
Murofushi, T.; Sugeno, M.
1991
Fuzzy measure of fuzzy events defined by fuzzy integrals. Zbl 0805.28013
Grabisch, M.; Murofushi, T.; Sugeno, M.
1991
Conditional probabilities and fuzzy entropy. Zbl 0808.60004
Murofushi, T.
1990
An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure. Zbl 0662.28015
Murofushi, Toshiaki; Sugeno, Michio
1989
Pseudo-additive measures and integrals. Zbl 0611.28010
Sugeno, M.; Murofushi, T.
1987
all top 5

Cited by 499 Authors

 61 Mesiar, Radko 33 Pap, Endre 24 Murofushi, Toshiaki 20 Grabisch, Michel 20 Li, Jun 20 Narukawa, Yasuo 18 Ouyang, Yao 16 Sugeno, Michio 16 Torra, Vicenç 15 Marichal, Jean-Luc 15 Wang, Zhenyuan 15 Yager, Ronald R. 14 Agahi, Hamzeh 12 Dubois, Didier 9 Labreuche, Christophe 9 Leung, Kwong-Sak 9 Prade, Henri M. 8 Kawabe, Jun 8 Štrboja, Mirjana 7 Greco, Salvatore 7 Kolesárová, Anna 6 Gavrilut, Alina Cristiana 6 Kojadinovic, Ivan 6 Mihailović, Biljana P. 6 Rico, Agnés 6 Wu, Congxin 5 Couceiro, Miguel 5 Hu, Yi-Chung 5 Hutník, Ondrej 5 Klement, Erich Peter 5 Klir, George J. 5 Wu, Jianzhang 4 Calvo, Tomasa 4 Daraby, Bayaz 4 Jang, Lee-Chae 4 Jang, Leechae 4 Mesiarová-Zemánková, Andrea 4 Poncet, Paul 4 Qiu, Dong 4 Sirbiladze, Gia Guram 4 Stupňanová, Andrea 4 Wakker, Peter Paul 4 Xu, Kebin 4 Zhang, Deli 3 Ahmad, Khurshid 3 Alajlan, Naif 3 Asahina, Shin 3 Babakhani, Azizollah 3 Ban, Adrian I. 3 Beliakov, Gleb 3 Benvenuti, Pietro 3 Boczek, Michal 3 Borkotokey, Surajit 3 Bustince, Humberto 3 Combarro, Elías F. 3 Fang, Jinxuan 3 Fargier, Hélène 3 Fujimoto, Katsushige 3 Godo, Lluís 3 Gong, Zengtai 3 Guo, Caimei 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 Matarazzo, Benedetto 3 Mesiarová, Andrea 3 Miranda, Pedro M. A. 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 Struk, Peter 3 Takahagi, Eiichiro 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, Mianyun 2 Chen, Ting-Yu 2 Chen, Xiaohong 2 Chitescu, Ion 2 de Campos, Luis Miguel 2 de Cooman, Gert 2 Du, Bisheng 2 Dukhovny, Alexander M. 2 Dvořák, Antonín ...and 399 more Authors
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Cited in 85 Serials

 172 Fuzzy Sets and Systems 32 Information Sciences 25 European Journal of Operational Research 23 International Journal of Approximate Reasoning 23 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 13 Journal of Mathematical Analysis and Applications 13 Soft Computing 10 International Journal of General Systems 10 Kybernetika 10 Fuzzy Optimization and Decision Making 9 Applied Mathematics and Computation 8 International Journal of Intelligent Systems 8 Annals of Operations Research 4 Pattern Recognition 4 Journal of Applied Mathematics 3 Discrete Applied Mathematics 3 Mathematical and Computer Modelling 3 Journal of Intelligent and Fuzzy Systems 2 Journal of Mathematical Economics 2 Journal of Mathematical Psychology 2 Mathematica Slovaca 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 Economic Theory 2 Abstract and Applied Analysis 2 Iranian Journal of Fuzzy Systems 2 Asian-European Journal of Mathematics 2 Science China. Information Sciences 2 Symmetry 2 Journal of Function Spaces 2 Nonlinear Analysis. Theory, Methods & Applications 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 Automatica 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Mathematics and Computers in Simulation 1 Mathematics of Operations Research 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Theory and Decision 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Annals of Pure and Applied Logic 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 Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 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 Problems in Engineering 1 Mathematical Finance 1 Mathematical Methods of Operations Research 1 Journal of Inequalities and Applications 1 PAA. Pattern Analysis and Applications 1 Journal of Interdisciplinary Mathematics 1 Journal of Applied Mathematics and Computing 1 4OR 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 Journal of Pseudo-Differential Operators and Applications 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 Sahand Communications in Mathematical Analysis 1 Open Mathematics 1 Korean Journal of Mathematics 1 Bollettino dell’Unione Matematica Italiana
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Cited in 28 Fields

 323 Measure and integration (28-XX) 82 Computer science (68-XX) 69 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 63 Operations research, mathematical programming (90-XX) 45 Mathematical logic and foundations (03-XX) 45 Real functions (26-XX) 17 Probability theory and stochastic processes (60-XX) 16 Statistics (62-XX) 16 Information and communication theory, circuits (94-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 8 Functional analysis (46-XX) 6 General topology (54-XX) 4 Difference and functional equations (39-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Group theory and generalizations (20-XX) 3 Partial differential equations (35-XX) 3 Integral transforms, operational calculus (44-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)