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Fubini theorem for generalized fuzzy number-valued integrals

✍ Scribed by Sung-Jin Cho; Byung-Soo Lee; Gue-Myung Lee; Do-Sang Kim; Yeoul-Ouk Song

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
176 KB
Volume
105
Category
Article
ISSN
0165-0114

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✦ Synopsis

In this paper we introduce the notion of generalized fuzzy numbers and generalized fuzzy mappings, and give Fubini theorem for integrals of generalized fuzzy mappings.

πŸ“œ SIMILAR VOLUMES

Fubini theorem for F-valued integrals
Fubini theorem for F-valued integrals
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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

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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

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
✍ Congxin Wu; Deli Zhang; Bokan Zhang; Caimei Guo πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 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].