Series of fuzzy sets |
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Authors: | Mila Stojakovi ,Zoran Stojakovi |
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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 |
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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. |
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Keywords: | Addition Series of fuzzy sets Banach space |
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