Title :
Absolute continuity of fuzzy measures
Author :
Wang, Zhenyuan ; Klir, George J. ; Wang, Wei
Author_Institution :
Dept. of Syst. Sci. & Ind. Eng., Binghamton Univ., NY, USA
Abstract :
The purpose of this paper is to investigate the issue systematically. We identify 9 generalized types of absolute continuity which possess desirable properties, such as reflexivity and transitivity. We also study the relationship between these distinct types of absolute continuity and determine which of them are possessed by the fuzzy measure (or the lower semicontinuous fuzzy measure) defined by the fuzzy integral
Keywords :
fuzzy set theory; integral equations; absolute continuity; fuzzy integral; fuzzy measures; fuzzy set theory; reflexivity; transitivity; Extraterrestrial measurements; Government; Industrial engineering; Integral equations; Protection; Terminology;
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.1995.409671