On \(\epsilon\)-fuzzy sets
type: Item
instance of: scholarly article
title: On \(\epsilon\)-fuzzy sets
zbMATH Open document ID: 0675.60004
DOI: 10.1016/0165-0114(89)90071-7
published in: Fuzzy Sets and Systems
publication date: 1989-01-01T00:00:00Z
review text: \textit{J. F. Buoncristiani}'s notion [J. Math. Anal. Appl. 96, 24-41 (1983; Zbl 0534.60002)] of \(\epsilon\)-fuzzy set is reconsidered and some of his results are improved. The notion of \(\epsilon\)-fuzzy set is generalized in such manner that the relation of equality at the level \(\epsilon\) is fuzzified. Author discusses \(\epsilon\)-fuzzy sets in the framework of possibility theory.
Mathematics Subject Classification ID: 60A99
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4105936
zbMATH Keywords: epsilon-fuzzy set
zbMATH Keywords: possibility theory
author: Mingsheng Ying
reviewed by: Krzysztof Piasecki
MaRDI profile type: Publication
full work available at URL: 0165-0114(89)90071-7
OpenAlex ID: W109550571
cites work: Probability on fuzzy sets and \(\epsilon\)-fuzzy sets
cites work: Probability measures of fuzzy events
cites work: Fuzzy sets as a basis for a theory of possibility
cites work: Fuzzy sets and systems. Theory and applications
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description: scientific article; zbMATH DE number 4105936