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On fuzzy number-valued fuzzy measures defined by fuzzy number-valued fuzzy integrals I

โœ Scribed by Zhang Guang-Quan

Book ID
107902574
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
430 KB
Volume
45
Category
Article
ISSN
0165-0114

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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].

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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

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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