Integrals of fuzzy-number-valued functions
β Scribed by Yun Kyong Kim; Byung Moon Ghil
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 439 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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].
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
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.