Proceedings of the Korean Institute of Intelligent Systems Conference (한국지능시스템학회:학술대회논문집)
- 1998.06a
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- Pages.380-386
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- 1998
SOME GENERALIZATIONS OF SUGENOS FUZZY INTEGRAL TO SET-VALUED MAPPINGS
- Cho, Sung-Jin (Department of applied mathematics, pukyoung national university) ;
-
Lee, Byung-Soo
(Department of mathematics , Kyungsung University)
;
- Lee, Gue-Myung (Department of applied mathematics, pukyoung national university) ;
- Kim, Do-Sang (Department of applied mathematics, pukyoung national university)
- Published : 1998.06.01
Abstract
In this paper we introduce the concept of fuzzy integrals for set-valued mappings, which is an extension of fuzzy integrals for single-valued functions defined by Sugeno. And we give some properties including convergence theorems on fuzzy integrals for set-valued mappings.
Keywords
- Fuzzy integral;
- Measurable selection;
- Fuzzy measure;
- Set-valued mapping;
- Fatous Lemma;
- Lebesgue convergence theorem