Intuitionistic fuzzy Hv-submodules

  • Authors:

  • Bijan Davvaz;Wiesław A. Dudek;Young Bae Jun

  • Affiliations:

  • Department of Mathematics, Yazd University, Yazd, Iran;Institute of Mathematics, Technical University, Wybrzee Wyspiańskiego 27, 50-370 Wrocław, Poland;Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Republic of Korea

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2006

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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 H"v-modules. The notion of an intuitionistic fuzzy H"v-submodule of an H"v-module is introduced, and some related properties are investigated. Characterizations of intuitionistic fuzzy H"v-submodules are given.