FUZZY MEASURES ON METRIC-SPACES

Authors
JIANG QS SUZUKI H
Citation
Qs. Jiang et H. Suzuki, FUZZY MEASURES ON METRIC-SPACES, Fuzzy sets and systems, 83(1), 1996, pp. 99-106
Citations number
12
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
83
Issue
1
Year of publication
1996
Pages
99 - 106
Database
ISI
SICI code
0165-0114(1996)83:1<99:FMOM>2.0.ZU;2-A
Abstract
The aim of the present paper is to study the regularity and tightness properties of fuzzy measures on metric spaces. Among other results, we shall give Lusin's theorem and Egoroff's theorem; we shall also prove the singleton characterization of atom of fuzzy measure, and an algor ithm to evaluate the fuzzy integrals of non-negative measurable functi ons over an atom and a union of finite disjoint atoms.