Lattice valued intuitionistic fuzzy sets |
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| Authors: | Tadeusz Gerstenkorn Andreja Tepav?evi? |
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| Institution: | (1) Faculty of Mathematics, Ŀódź University, Ul. LS. Banacha 22, PL 90-238, Ŀódź, Poland;(2) Department of Mathematics and Informatics fac. of Sci, University ofNovi Sad, Trg. D. Obradovića 4, 21000 Novi Sad, Serbia and Montenegro |
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| Abstract: | In this paper a new definition of a lattice valued intuitionistic fuzzy set (LIFS) is introduced, in an attempt to overcome
the disadvantages of earlier definitions. Some properties of this kind of fuzzy sets and their basic operations are given.
The theorem of synthesis is proved: For every two families of subsets of a set satisfying certain conditions, there is an
lattice valued intuitionistic fuzzy set for which these are families of level sets.
The research supported by Serbian Ministry of Science and Technology, Grant No. 1227. |
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| Keywords: | Intuitionistic fuzzy sets bifuzzy sets lattice valued intuitionistic fuzzy sets |
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