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Fuzzy-valued fuzzy measures and generalized fuzzy integrals

โœ Scribed by Caimei Guo; Deli Zhang; Congxin Wu

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
379 KB
Volume
97
Category
Article
ISSN
0165-0114

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โœฆ Synopsis

In this paper, the concept of fuzzy-valued fuzzy measures is introduced at first and then, based on the generalized fuzzy integral given by Wu et al. [Fuzzy Sets and Systems 57 (1993) 219], the generalized fuzzy integral of fuzzy-valued functions with respect to fuzzy-valued fuzzy measures is defined and the properties and convergence theorems are given. All these are extensions of the Sugeno [Theory of fuzzy integrals and its applications, Ph.D. thesis, Tokyo Institute of Technology, 1974] and Wu et al. (1993) theory.

๐Ÿ“œ SIMILAR VOLUMES

Generalized fuzzy integrals of fuzzy-val
Generalized fuzzy integrals of fuzzy-valued functions
โœ Caimei Guo; Deli Zhang; Congxin Wu ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 383 KB

In this paper, based on Wu's generalized fuzzy integrals of point-valued function [C. Wu et al., Fuzzy Sets and Systems 70 (1995) 75], a theory of generalized fuzzy integrals of fuzzy-valued functions will be investigated. It includes definitions, properties and various kinds of convergence theorems

Fuzzy number fuzzy measures and fuzzy in
Fuzzy number fuzzy measures and fuzzy integrals. (II). Fuzzy integrals of fuzzy-valued functions with respect to fuzzy number fuzzy measures on fuzzy sets
โœ Congxin Wu; Deli Zhang; Bokan Zhang; Caimei Guo ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 266 KB

This is a subsequent paper of [9]. By using the concepts of fuzzy number fuzzy measures [9] and fuzzy-valued functions [10], a theory of fuzzy integrals of fuzzy-valued functions with respect to fuzzy number fuzzy measures is built up. So far, it is a more general one following Sugeno's [5].

Fuzzy number fuzzy measures and fuzzy in
Fuzzy number fuzzy measures and fuzzy integrals. (I). Fuzzy integrals of functions with respect to fuzzy number fuzzy measures
โœ Congxin Wu; Deli Zhang; Caimei Guo; Cong Wu ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 333 KB

This paper, based on the fuzzy measures and fuzzy integrals given by Sugeno, 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 fu