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Series of fuzzy sets
Authors:Mila Stojakovi&#x  ,Zoran Stojakovi&#x  
Affiliation:aDepartment of Mathematics, Faculty of Engineering, University of Novi Sad, 21000 Novi Sad, Serbia;bDepartment of Mathematics and Informatics, Faculty of Science, University of Novi Sad, 21000 Novi Sad, Serbia
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.
Keywords:Addition   Series of fuzzy sets   Banach space
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