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
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;
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
DOI :
10.1109/FUZZY.1995.409992
