DocumentCode
3494274
Title
Hierarchical decomposition theorems for Choquet integral models
Author
Sugeno, Michio ; FUJIMOTO, Katsushige ; Murofushi, Toshiaki
Author_Institution
Dept. of Syst. Sci., Tokyo Inst. of Technol., Yokohama, Japan
Volume
4
fYear
1995
fDate
20-24 Mar 1995
Firstpage
2245
Abstract
In this paper, we give two necessary and sufficient conditions for a Choquet integral model to be decomposable into two equivalent hierarchical Choquet integral models constructed by hierarchical combinations of some ordinary Choquet integral models. These conditions are obtained by inclusion-exclusion covering (IEC). Moreover, we show some properties on the set of IECs
Keywords
fuzzy set theory; integral equations; Choquet integral models; hierarchical decomposition theorems; inclusion-exclusion covering; necessary condition; nonmonotonic fuzzy measures; sufficient condition; Extraterrestrial measurements; Fuzzy sets; IEC; Integral equations;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems, 1995. International Joint Conference of the Fourth IEEE International Conference on Fuzzy Systems and The Second International Fuzzy Engineering Symposium., Proceedings of 1995 IEEE Int
Conference_Location
Yokohama
Print_ISBN
0-7803-2461-7
Type
conf
DOI
10.1109/FUZZY.1995.409992
Filename
409992
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