Atoms of fuzzy measures and fuzzy integrals
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Generalized fuzzy integrals of set-valued functions
Fuzzy Sets and Systems
Integrals of set-valued functions for ⊥ -decomposable measures
Fuzzy Sets and Systems
Fuzzy Measure Theory
Componentwise decomposition of some lattice-valued fuzzy integrals
Information Sciences: an International Journal
Fuzzy measures and integrals in evaluation of strategies
Information Sciences: an International Journal
Non-atomicity for fuzzy and non-fuzzy multivalued set functions
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Regularity and autocontinuity of set multifunctions
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Information Sciences: an International Journal
Fuzzy integrability of multifunctions
CI'10 Proceedings of the 4th WSEAS international conference on Computational intelligence
Pseudo-atoms and Darboux property for set multifunctions
Fuzzy Sets and Systems
A Lusin type theorem for regular monotone uniformly autocontinuous set multifunctions
Fuzzy Sets and Systems
Fuzzy measures and granular computing
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
An approach to pseudo-integration of set-valued functions
Information Sciences: an International Journal
Autocontinuity of set-valued fuzzy measures and applications
Fuzzy Sets and Systems
Fuzzy measures and comonotonicity on multisets
MDAI'11 Proceedings of the 8th international conference on Modeling decisions for artificial intelligence
On a non-linear integral of multifunctions with respect to a fuzzy measure
MAMECTIS/NOLASC/CONTROL/WAMUS'11 Proceedings of the 13th WSEAS international conference on mathematical methods, computational techniques and intelligent systems, and 10th WSEAS international conference on non-linear analysis, non-linear systems and chaos, and 7th WSEAS international conference on dynamical systems and control, and 11th WSEAS international conference on Wavelet analysis and multirate systems: recent researches in computational techniques, non-linear systems and control
Fuzzy logic-based generalized decision theory with imperfect information
Information Sciences: an International Journal
Continuity properties and Alexandroff theorem in Vietoris topology
Fuzzy Sets and Systems
Complex Structured Decision Making Model: A hierarchical frame work for complex structured data
Information Sciences: an International Journal
Information Sciences: an International Journal
Remarks on monotone interval-valued set multifunctions
Information Sciences: an International Journal
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So far, there have been many discussions on Sugeno's fuzzy measures and fuzzy integrals, but most of them are concentrated on single-valued functions. Motivated by Aumann's set-valued integral [J. Math. Anal. Appl. 12 (1965) 1], we have introduced the fuzzy integral of set-valued functions [Fuzzy Sets Syst. 56 (1993) 237; Fuzzy Sets Syst. 76 (1995) 365; Fuzzy Sets Syst. 78 (1996) 341; Ph.D. Dissertation, Harbin Institute of Technology, 1998]. It is a well-behaved extension of fuzzy integrals of single-valued functions. It is well known that Arstein's set-valued measure [Trans. Am. Math. Soc. 165 (1972) 103] is an important branch in set-valued analysis [Set-valued Analysis, Birkhauser, Berlin, 1990] or theory of correspondences [Theory of Correspondences, Wiley, New York, 1984]. Compared to it, the present paper will try to establish the basic idea of set-valued fuzzy measures, which are monotone set-valued set-functions. It is also a natural generalization of (single-valued) fuzzy measures, as well as an extension of set-valued measures in the case of one-dimension. These works include the concept of set-valued fuzzy measures, set-valued fuzzy measures defined by set-valued fuzzy integrals and set-valued pseudo-additive measures. It can be viewed as a continuation of previous work [Fuzzy Sets Syst. 56 (1993) 237; Fuzzy Sets Syst. 76 (1995) 365; Fuzzy Sets Syst. 78 (1996) 341].