Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
390547 | Fuzzy Sets and Systems | 2009 | 13 Pages |
Abstract
Series of fuzzy sets with weakly closed, weakly compact or compact α-levels are considered. The basic space is Banach space. The subject of this paper is investigation of infinite addition of fuzzy sets and condition when the sum of α-levels is equal to the α-level of the sum. The results in this paper complement and complete some previous results proved by the same authors in Stojaković and Stojaković [Addition and series of fuzzy sets, Fuzzy Sets and Systems 83 (1996) 341–346] for the series with compact α-levels.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence