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Murofushi, Toshiaki

Author ID: murofushi.toshiaki Recent zbMATH articles by "Murofushi, Toshiaki"
Published as: Murofushi, Toshiaki; Murofushi, T.

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 913 times in 585 Documents Cited by Year
Pseudo-additive measures and integrals. Zbl 0611.28010
Sugeno, M.; Murofushi, T.
146
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
107
1989
Fuzzy measures and integrals. Theory and applications. Zbl 0935.00014
101
2000
A theory of fuzzy measures: Representations, the Choquet integral, and null sets. Zbl 0735.28015
Murofushi, Toshiaki; Sugeno, Michio
87
1991
Fuzzy t-conorm integral with respect to fuzzy measures: Generalization of Sugeno integral and Choquet integral. Zbl 0733.28014
Murofushi, T.; Sugeno, M.
67
1991
Non-monotonic fuzzy measures and the Choquet integral. Zbl 0844.28015
Murofushi, Toshiaki; Sugeno, Michio; Machida, Motoya
52
1994
Choquet integral models and independence concepts in multiattribute utility theory. Zbl 1113.91313
Murofushi, T.; Sugeno, M.
42
2000
Some quantities represented by the Choquet integral. Zbl 0816.28012
Murofushi, Toshiaki; Sugeno, Michio
41
1993
Fuzzy measures and fuzzy integrals. Zbl 0967.28015
Murofushi, Toshiaki; Sugeno, Michio
33
2000
Regular fuzzy measure and representation of comonotonically additive functional. Zbl 0954.28007
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
24
2000
Fuzzy measure of fuzzy events defined by fuzzy integrals. Zbl 0785.28011
Grabisch, Michel; Murofushi, Toshiaki; Sugeno, Michio
24
1992
Conditions for Egoroff’s theorem in non-additive measure theory. Zbl 1046.28013
Murofushi, Toshiaki; Uchino, Kenta; Asahina, Shin
22
2004
Choquet integral and fuzzy measures on locally compact space. Zbl 0977.28012
Sugeno, Michio; Narukawa, Yasuo; Murofushi, Toshiaki
17
1998
A hierarchical decomposition of Choquet integral model. Zbl 1232.93010
Sugeno, Michio; Fujimoto, Katsushige; Murofushi, Toshiaki
16
1995
Autocontinuity, convergence in measure, and convergence in distribution. Zbl 0927.28012
Murofushi, Toshiaki; Sugeno, Michio; Suzaki, Manabu
12
1997
Separated hierarchical decomposition of the Choquet integral. Zbl 1232.28023
Murofushi, Toshiaki; Sugeno, Michio; Fujimoto, Katsushige
11
1997
Regular non-additive measure and Choquet integral. Zbl 1044.28015
Narukawa, Yasuo; Murofushi, Toshiaki
10
2004
Choquet-Stieltjes integral as a tool for decision modeling. Zbl 1148.91012
Narukawa, Yasuo; Murofushi, Toshiaki
10
2008
Space of fuzzy measures and convergence. Zbl 1094.28013
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
8
2003
Relationship among continuity conditions and null-additivity conditions in non-additive measure theory. Zbl 1091.28010
Asahina, Shin; Uchino, Kenta; Murofushi, Toshiaki
7
2006
Boundedness and symmetry of comonotonically additive functionals. Zbl 0979.28009
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
7
2001
Conditions for Choquet integral representation of the comonotonically additive and monotone functional. Zbl 1045.28015
Narukawa, Yasuo; Murofushi, Toshiaki
7
2003
Continuous-from-above possibility measures and f-additive fuzzy measures on separable metric spaces: Characterization and regularity. Zbl 0785.28013
Murofushi, Toshiaki; Sugeno, Michio
6
1993
Canonical separated hierarchical decomposition of the Choquet integral over a finite set. Zbl 1087.28507
Murofushi, Toshiaki; Fujimoto, Katsushige; Sugeno, Michio
5
1998
Extension and representation of comonotonically additive functionals. Zbl 0985.28013
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
5
2001
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
5
1997
\(k\)-additivity and \(\mathcal C\)-decomposability of bi-capacities and its integral. Zbl 1127.28012
Fujimoto, Katsushige; Murofushi, Toshiaki; Sugeno, Michio
5
2007
Duality and ordinality in fuzzy measure theory. Zbl 1098.28008
Murofushi, Toshiaki
4
2003
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
3
1998
Hierarchical decomposition of the Choquet integral. Zbl 0960.28012
Fujimoto, Katsushige; Murofushi, Toshiaki
3
2000
Two-valued possibility measures induced by \(\sigma\)-finite \(\sigma\)-additive measures. Zbl 0996.28009
Murofushi, Toshiaki
3
2002
A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory. Zbl 1315.28015
Takahashi, Masayuki; Murofushi, Toshiaki; Asahina, Shin
3
2014
Fuzzy measure of fuzzy events defined by fuzzy integrals. Zbl 0805.28013
Grabisch, M.; Murofushi, T.; Sugeno, M.
3
1991
Choquet integral and Sugeno integral as aggregation functions. Zbl 1053.28008
Narukawa, Yasuo; Murofushi, Toshiaki
2
2003
The Choquet integral in multiattribute decision making. Zbl 0984.91027
Murofushi, Toshiaki; Sugeno, Michio
2
2000
Decision modelling using the Choquet integral. Zbl 1109.91333
Narukawa, Yasuo; Murofushi, Toshiaki
2
2004
Erratum to “Relationship among continuity conditions and null-additivity conditions in non-additive measure theory”. Zbl 1104.28306
Asahina, Shin; Uchino, Kenta; Murofushi, Toshiaki
2
2006
Representation of Choquet integral-interpreter and Möbius transform. Zbl 1116.28014
Narukawa, Yasuo; Murofushi, Toshiaki
1
2006
Nonlinear mathematics for uncertainty and its applications. Proceedings of the international conference, NL-MUA2011, Beijing, China, September 7–9, 2011. Zbl 1236.00039
1
2011
New conditions for the Egoroff theorem in non-additive measure theory. Zbl 1196.28035
Takahashi, Masayuki; Murofushi, Toshiaki
1
2010
Extensions of (weakly) null-additive, monotone set functions from rings of subsets to generated algebras. Zbl 1143.28007
Murofushi, Toshiaki
1
2007
Set-operational properties of semiatoms in non-additive measure theory. Zbl 0999.28010
Murofushi, Toshiaki; Fujimoto, Katsushige
1
2001
Hierarchical decomposition of Choquet integral systems. Zbl 0824.28013
Murofushi, T.; Sugeno, M.
1
1992
Conditional probabilities and fuzzy entropy. Zbl 0808.60004
Murofushi, T.
1
1990
A note on upper and lower Sugeno integrals. Zbl 1094.28012
Murofushi, Toshiaki
1
2003
Additive decompositions of submodular set functions and their generalizations. Zbl 1136.28300
Murofushi, Toshiaki; Sawata, Yoshinari; Fujimoto, Katsushige
1
2007
A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory. Zbl 1315.28015
Takahashi, Masayuki; Murofushi, Toshiaki; Asahina, Shin
3
2014
Nonlinear mathematics for uncertainty and its applications. Proceedings of the international conference, NL-MUA2011, Beijing, China, September 7–9, 2011. Zbl 1236.00039
1
2011
New conditions for the Egoroff theorem in non-additive measure theory. Zbl 1196.28035
Takahashi, Masayuki; Murofushi, Toshiaki
1
2010
Choquet-Stieltjes integral as a tool for decision modeling. Zbl 1148.91012
Narukawa, Yasuo; Murofushi, Toshiaki
10
2008
\(k\)-additivity and \(\mathcal C\)-decomposability of bi-capacities and its integral. Zbl 1127.28012
Fujimoto, Katsushige; Murofushi, Toshiaki; Sugeno, Michio
5
2007
Extensions of (weakly) null-additive, monotone set functions from rings of subsets to generated algebras. Zbl 1143.28007
Murofushi, Toshiaki
1
2007
Additive decompositions of submodular set functions and their generalizations. Zbl 1136.28300
Murofushi, Toshiaki; Sawata, Yoshinari; Fujimoto, Katsushige
1
2007
Relationship among continuity conditions and null-additivity conditions in non-additive measure theory. Zbl 1091.28010
Asahina, Shin; Uchino, Kenta; Murofushi, Toshiaki
7
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
2
2006
Representation of Choquet integral-interpreter and Möbius transform. Zbl 1116.28014
Narukawa, Yasuo; Murofushi, Toshiaki
1
2006
Conditions for Egoroff’s theorem in non-additive measure theory. Zbl 1046.28013
Murofushi, Toshiaki; Uchino, Kenta; Asahina, Shin
22
2004
Regular non-additive measure and Choquet integral. Zbl 1044.28015
Narukawa, Yasuo; Murofushi, Toshiaki
10
2004
Decision modelling using the Choquet integral. Zbl 1109.91333
Narukawa, Yasuo; Murofushi, Toshiaki
2
2004
Space of fuzzy measures and convergence. Zbl 1094.28013
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
8
2003
Conditions for Choquet integral representation of the comonotonically additive and monotone functional. Zbl 1045.28015
Narukawa, Yasuo; Murofushi, Toshiaki
7
2003
Duality and ordinality in fuzzy measure theory. Zbl 1098.28008
Murofushi, Toshiaki
4
2003
Choquet integral and Sugeno integral as aggregation functions. Zbl 1053.28008
Narukawa, Yasuo; Murofushi, Toshiaki
2
2003
A note on upper and lower Sugeno integrals. Zbl 1094.28012
Murofushi, Toshiaki
1
2003
Two-valued possibility measures induced by \(\sigma\)-finite \(\sigma\)-additive measures. Zbl 0996.28009
Murofushi, Toshiaki
3
2002
Boundedness and symmetry of comonotonically additive functionals. Zbl 0979.28009
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
7
2001
Extension and representation of comonotonically additive functionals. Zbl 0985.28013
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
5
2001
Set-operational properties of semiatoms in non-additive measure theory. Zbl 0999.28010
Murofushi, Toshiaki; Fujimoto, Katsushige
1
2001
Fuzzy measures and integrals. Theory and applications. Zbl 0935.00014
101
2000
Choquet integral models and independence concepts in multiattribute utility theory. Zbl 1113.91313
Murofushi, T.; Sugeno, M.
42
2000
Fuzzy measures and fuzzy integrals. Zbl 0967.28015
Murofushi, Toshiaki; Sugeno, Michio
33
2000
Regular fuzzy measure and representation of comonotonically additive functional. Zbl 0954.28007
Narukawa, Yasuo; Murofushi, Toshiaki; Sugeno, Michio
24
2000
Hierarchical decomposition of the Choquet integral. Zbl 0960.28012
Fujimoto, Katsushige; Murofushi, Toshiaki
3
2000
The Choquet integral in multiattribute decision making. Zbl 0984.91027
Murofushi, Toshiaki; Sugeno, Michio
2
2000
Choquet integral and fuzzy measures on locally compact space. Zbl 0977.28012
Sugeno, Michio; Narukawa, Yasuo; Murofushi, Toshiaki
17
1998
Canonical separated hierarchical decomposition of the Choquet integral over a finite set. Zbl 1087.28507
Murofushi, Toshiaki; Fujimoto, Katsushige; Sugeno, Michio
5
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
3
1998
Autocontinuity, convergence in measure, and convergence in distribution. Zbl 0927.28012
Murofushi, Toshiaki; Sugeno, Michio; Suzaki, Manabu
12
1997
Separated hierarchical decomposition of the Choquet integral. Zbl 1232.28023
Murofushi, Toshiaki; Sugeno, Michio; Fujimoto, Katsushige
11
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
5
1997
A hierarchical decomposition of Choquet integral model. Zbl 1232.93010
Sugeno, Michio; Fujimoto, Katsushige; Murofushi, Toshiaki
16
1995
Non-monotonic fuzzy measures and the Choquet integral. Zbl 0844.28015
Murofushi, Toshiaki; Sugeno, Michio; Machida, Motoya
52
1994
Some quantities represented by the Choquet integral. Zbl 0816.28012
Murofushi, Toshiaki; Sugeno, Michio
41
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
6
1993
Fuzzy measure of fuzzy events defined by fuzzy integrals. Zbl 0785.28011
Grabisch, Michel; Murofushi, Toshiaki; Sugeno, Michio
24
1992
Hierarchical decomposition of Choquet integral systems. Zbl 0824.28013
Murofushi, T.; Sugeno, M.
1
1992
A theory of fuzzy measures: Representations, the Choquet integral, and null sets. Zbl 0735.28015
Murofushi, Toshiaki; Sugeno, Michio
87
1991
Fuzzy t-conorm integral with respect to fuzzy measures: Generalization of Sugeno integral and Choquet integral. Zbl 0733.28014
Murofushi, T.; Sugeno, M.
67
1991
Fuzzy measure of fuzzy events defined by fuzzy integrals. Zbl 0805.28013
Grabisch, M.; Murofushi, T.; Sugeno, M.
3
1991
Conditional probabilities and fuzzy entropy. Zbl 0808.60004
Murofushi, T.
1
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
107
1989
Pseudo-additive measures and integrals. Zbl 0611.28010
Sugeno, M.; Murofushi, T.
146
1987
all top 5

Cited by 585 Authors

69 Mesiar, Radko
39 Pap, Endre
27 Li, Jun
24 Murofushi, Toshiaki
21 Grabisch, Michel
21 Narukawa, Yasuo
21 Ouyang, Yao
19 Marichal, Jean-Luc
18 Torra, Vicenç
16 Sugeno, Michio
15 Agahi, Hamzeh
15 Wang, Zhenyuan
15 Yager, Ronald R.
12 Dubois, Didier
12 Kawabe, Jun
11 Labreuche, Christophe
10 Prade, Henri M.
9 Leung, Kwong-Sak
9 Štrboja, Mirjana
9 Zhang, Deli
8 Jang, Lee-Chae
8 Rico, Agnés
7 Beliakov, Gleb
7 Bustince Sola, Humberto
7 Couceiro, Miguel
7 Greco, Salvatore
7 Hutník, Ondrej
7 Klement, Erich Peter
7 Kojadinovic, Ivan
7 Kolesárová, Anna
7 Mihailović, Biljana P.
7 Zhang, Qiang
6 Boczek, Michal
6 Gavrilut, Alina Cristiana
6 Wu, Congxin
6 Wu, Jianzhang
5 Babakhani, Azizollah
5 Daraby, Bayaz
5 Guo, Caimei
5 Hu, Yichung
5 Kałuszka, Marek
5 Klir, George J.
5 Sirbiladze, Gia Guram
4 Calvo, Tomasa
4 Combarro, Elías F.
4 Dimuro, Graçaliz Pereira
4 Fernández Fernández, Francisco Javier
4 Fujimoto, Katsushige
4 Godo, Lluís
4 Gong, Zengtai
4 Halčinová, Lenka
4 Honda, Aoi
4 Marques Pereira, Ricardo Alberto
4 Mesiarová-Zemánková, Andrea
4 Poncet, Paul
4 Qiu, Dong
4 Strauss, Olivier
4 Stupňanová, Andrea
4 Wakker, Peter Paul
4 Wang, Guijun
4 Xu, Kebin
3 Ahmad, Khurshid
3 Alajlan, Naif
3 Anderson, Derek T.
3 Asahina, Shin
3 Ban, Adrian I.
3 Bedregal, Benjamín René Callejas
3 Benvenuti, Pietro
3 Borkotokey, Surajit
3 Bortot, Silvia
3 Chen, Tao
3 Chitescu, Ion
3 Dvořák, Antonín
3 Fang, Jinxuan
3 Fargier, Hélène
3 Flaminio, Tommaso
3 Giove, Silvio
3 Ha, Minghu
3 Havens, Timothy C.
3 Heng, Pheng-Ann
3 Holcapek, Michal
3 James, Simon
3 Keller, James M.
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 Okazaki, Yoshiaki
3 Ovchinnikov, Sergei V.
3 Pedrycz, Witold
3 Pocs, Jozef
3 Precupanu, Anca-Maria
3 Ralescu, Dan A.
3 Rébillé, Yann
3 Ren, Xuekun
...and 485 more Authors
all top 5

Cited in 100 Serials

194 Fuzzy Sets and Systems
50 Information Sciences
29 International Journal of Approximate Reasoning
25 European Journal of Operational Research
23 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
17 Soft Computing
14 Journal of Mathematical Analysis and Applications
12 Fuzzy Optimization and Decision Making
11 Annals of Operations Research
10 International Journal of General Systems
10 Kybernetika
9 Applied Mathematics and Computation
8 International Journal of Intelligent Systems
5 Journal of Applied Mathematics
4 Iranian Journal of Fuzzy Systems
3 Discrete Applied Mathematics
3 Journal of Economic Theory
3 Mathematica Slovaca
3 Mathematical and Computer Modelling
3 Pattern Recognition
3 Journal of Inequalities and Applications
3 Journal of Intelligent and Fuzzy Systems
2 Journal of Mathematical Economics
2 Journal of Mathematical Psychology
2 Mathematics of Operations Research
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 International Transactions in Operational Research
2 Mathematical Problems in Engineering
2 Abstract and Applied Analysis
2 Decisions in Economics and Finance
2 Journal of Physics A: Mathematical and Theoretical
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
2 Korean Journal of Mathematics
2 AIMS Mathematics
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 Computational and Applied Mathematics
1 Journal of Statistical Planning and Inference
1 Mathematics and Computers in Simulation
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 Statistics & Probability Letters
1 Annals of Pure and Applied Logic
1 Order
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 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 Bollettino dell’Unione Matematica Italiana
1 Frontiers of Mathematical Finance
all top 5

Cited in 38 Fields

380 Measure and integration (28-XX)
101 Computer science (68-XX)
91 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
70 Operations research, mathematical programming (90-XX)
69 Real functions (26-XX)
52 Mathematical logic and foundations (03-XX)
26 Statistics (62-XX)
20 Probability theory and stochastic processes (60-XX)
17 Information and communication theory, circuits (94-XX)
15 Order, lattices, ordered algebraic structures (06-XX)
11 Functional analysis (46-XX)
7 General topology (54-XX)
6 Systems theory; control (93-XX)
5 Difference and functional equations (39-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Biology and other natural sciences (92-XX)
4 Combinatorics (05-XX)
3 General and overarching topics; collections (00-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)
3 Quantum theory (81-XX)
2 History and biography (01-XX)
2 Numerical analysis (65-XX)
2 Fluid mechanics (76-XX)
1 General algebraic systems (08-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 Ordinary differential equations (34-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year