Intuitionistic fuzzy Hv-submodules |
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Authors: | Bijan Davvaz |
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Affiliation: | a Department of Mathematics, Yazd University, Yazd, Iran b Institute of Mathematics, Technical University, Wybrze?e Wyspiańskiego 27, 50-370 Wroc?aw, Poland c Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Republic of Korea |
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Abstract: | After the introduction of fuzzy sets by Zadeh, there have been a number of generalizations of this fundamental concept. The notion of intuitionistic fuzzy sets introduced by Atanassov is one among them. In this paper, we apply the concept of an intuitionistic fuzzy set to Hv-modules. The notion of an intuitionistic fuzzy Hv-submodule of an Hv-module is introduced, and some related properties are investigated. Characterizations of intuitionistic fuzzy Hv-submodules are given. |
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Keywords: | Hv-semigroup Hv-group Hv-ring Hv-module Intuitionistic fuzzy Hv-submodule Sup property |
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