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Pseudometric generating property and autocontinuity of fuzzy measures

✍ Scribed by Qingshan Jiang; Shengrui Wang; Djemel Ziou; Zhenyuan Wang; George J. Klir

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
114 KB
Volume
112
Category
Article
ISSN
0165-0114

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✦ Synopsis

Several necessary and su cient conditions for the pseudometric generating property of non-additive set functions are given. The relation among the pseudometric generating property and autocontinuity of fuzzy measures is depicted by using the absolute continuity and exhaustivity. Moreover, any uniformly autocontinuous ΓΏnite fuzzy measure is equivalent to a subadditive ΓΏnite fuzzy measure. A further research on purely atomic fuzzy measures is also made.

πŸ“œ SIMILAR VOLUMES

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✍ 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