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Generalized fuzzy integrals of fuzzy-valued functions

✍ Scribed by Caimei Guo; Deli Zhang; Congxin Wu

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

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✦ Synopsis

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. These are extensions of results in C.

πŸ“œ SIMILAR VOLUMES

Fuzzy-valued fuzzy measures and generali
Fuzzy-valued fuzzy measures and generalized fuzzy integrals
✍ Caimei Guo; Deli Zhang; Congxin Wu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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

On Henstock integrals of interval-valued
On Henstock integrals of interval-valued functions and fuzzy-valued functions
✍ Congxin Wu; Zengtai Gong πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 130 KB

In this paper, the (H ) integrals of interval-valued functions and fuzzy-valued functions are deΓΏned and discussed; several necessary and su cient conditions of (H ) integrability for fuzzy-number-valued functions are given by means of abstract Henstock-Pettis integral theory.

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].