On intuitionistic fuzzy sub-hyperquasigroups of hyperquasigroups

  • Authors:
  • WiesBaw A. Dudek;Bijan Davvaz;Young Bae Jun

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

  • Venue:
  • Information Sciences—Informatics and Computer Science: An International Journal
  • Year:
  • 2005

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Abstract

The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we consider the intuitionistic fuzzification of the concept of sub-hyperquasigroups in a hyperquasigroup and investigate some properties of such sub-hyperquasigroups. In particular, we investigate some natural equivalence relations on the set of all intuitionistic fuzzy sub-hyperquasigroups of a hyperquasigroup.