FUZZY-VALUED FUZZY MEASURES AND GENERALIZED FUZZY INTEGRALS

Citation
Cm. Guo et al., FUZZY-VALUED FUZZY MEASURES AND GENERALIZED FUZZY INTEGRALS, Fuzzy sets and systems, 97(2), 1998, pp. 255-260
Citations number
17
Categorie Soggetti
Statistic & Probability",Mathematics,"Computer Science Theory & Methods","Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
ISSN journal
01650114
Volume
97
Issue
2
Year of publication
1998
Pages
255 - 260
Database
ISI
SICI code
0165-0114(1998)97:2<255:FFMAGF>2.0.ZU;2-0
Abstract
In this paper, the concept of fuzzy-valued fuzzy measures is introduce d at first and then, based on the generalized fuzzy integral given by Wu et al. [Fuzzy Sets and Systems 57 (1993) 219], the generalized fuzz y integral of fuzzy-valued functions with respect to fuzzy-valued fuzz y measures is defined and the properties and convergence theorems are given. All these are extensions of the Sugeno [Theory of fuzzy integra ls and its applications, Ph.D. thesis, Tokyo Institute of Technology, 1974] and Wu et al. (1993) theory. (C) 1998 Elsevier Science B.V. All rights reserved.