Title :
The comonotonically additive functional on the class of continuous functions with compact support
Author :
Narukawa, Yasuo ; Murofushi, Toshiaki ; Sugeno, Michio
Author_Institution :
Dept. of Syst. Sci., Tokyo Inst. of Technol., Yokohama, Japan
Abstract :
This paper discusses the functional I defined on the class of continuous functions K, which is comonotonically additive and monotone. It is shown that the functional I can be represented by the difference of two Choquet integrals with respect to regular fuzzy measures when the universal set X is a locally compact Hausdorff space, and that the functional I can be represented by one Choquet integral with respect to a regular fuzzy measure when X is a compact Hausdorff space
Keywords :
functional equations; fuzzy set theory; integral equations; Choquet integrals; comonotonically additive functional; compact support; continuous functions; locally compact Hausdorff space; monotone functions; regular fuzzy measures; Additives; Extraterrestrial measurements; Fuzzy sets; Paper technology;
Conference_Titel :
Fuzzy Systems, 1997., Proceedings of the Sixth IEEE International Conference on
Conference_Location :
Barcelona
Print_ISBN :
0-7803-3796-4
DOI :
10.1109/FUZZY.1997.622820
