𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A further investigation for fuzzy measures on metric spaces

✍ Scribed by Qingshan Jiang; Shengrui Wang; Diemel Ziou

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

No coin nor oath required. For personal study only.

✦ Synopsis

The pseudometric generating property of non-additive set functions also plays an important role as the autocontinuity in fuzzy measure theory (Jiang, Ph.D.

πŸ“œ SIMILAR VOLUMES

On some results of analysis for fuzzy me
On some results of analysis for fuzzy metric spaces
✍ A. George; P. Veeramani πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 254 KB

A necessary and sufficient condition for a fuzzy metric space to be complete is given. We prove that a subspace of a separable fuzzy metric space is separable and every separable fuzzy metric space is second countable. Uniform limit theorem is generalized to fuzzy metric spaces.

The fuzzy integral on product spaces for
The fuzzy integral on product spaces for NSA measures
✍ E.SuΓ‘rez DΓ­az; F.SuΓ‘rez GarcΓ­a πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 417 KB

This paper deals with the study of fuzzy integrals defined as a generalization of Kruse's fuzzy integral , for fuzzy NSA measures given by Weber as opposed to Sugeno's measures. Several properties and convergence theorems, such as the monotone convergence theorem, the dominated convergence theorem