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Fuzzy number fuzzy measures and fuzzy integrals. (I). Fuzzy integrals of functions with respect to fuzzy number fuzzy measures

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

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
333 KB
Volume
98
Category
Article
ISSN
0165-0114

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โœฆ Synopsis

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 functions with respect to FNF-measures, and the properties and convergence theorems are obtained. All these are generalizations of Sugeno's works.

๐Ÿ“œ SIMILAR VOLUMES

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-valued fuzzy measures and generali
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โœ Caimei Guo; Deli Zhang; Congxin Wu ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 379 KB

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 define

Fuzzy measures and integrals
Fuzzy measures and integrals
โœ Radko Mesiar; Endre Pap ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 72 KB

## Fuzzy Measures and Integrals This special issue collects papers as extended versions of presentations given at special section Fuzzy Measures and Integrals during Seventh International Fuzzy Systems Association World Congress in Prague (Czech Republic), 25-29 June 1997. Various types of nonadd