FUZZY NUMBER FUZZY MEASURES AND FUZZY INTEGRALS - (I) - FUZZY INTEGRALS OF FUNCTIONS WITH RESPECT TO FUZZY NUMBER FUZZY MEASURES

Citation
Cx. Wu et al., FUZZY NUMBER FUZZY MEASURES AND FUZZY INTEGRALS - (I) - FUZZY INTEGRALS OF FUNCTIONS WITH RESPECT TO FUZZY NUMBER FUZZY MEASURES, Fuzzy sets and systems, 98(3), 1998, pp. 355-360
Citations number
11
Categorie Soggetti
Statistic & Probability",Mathematics,"Computer Science Theory & Methods","Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
ISSN journal
01650114
Volume
98
Issue
3
Year of publication
1998
Pages
355 - 360
Database
ISI
SICI code
0165-0114(1998)98:3<355:FNFMAF>2.0.ZU;2-O
Abstract
This paper, based on the fuzzy measures and fuzzy integrals given by S ugeno, first defines interval number fuzzy measures (INF-measures) and fuzzy number fuzzy measures (FNF-measures), and the fuzzy integral of function with respect to INF-measures are given. Then it defines the fuzzy integral of functions with respect to FNF-measures, and the prop erties and convergence theorems are obtained. All these are generaliza tions of Sugeno's works. (C) 1998 Elsevier Science B.V. All rights res erved.