Atanassov's intuitionistic (S,T)-fuzzy n-ary sub-hypergroups and their properties

  • Authors:
  • B. Davvaz;P. Corsini;V. Leoreanu-Fotea

  • Affiliations:
  • Department of Mathematics, Yazd University, P.O. Box 89195-741, Yazd, Iran;Dipartimento di Matematica e Informatica, Via delle Scienze 206, 33100 Udine, Italy;Faculty of Mathematics, "Al.I. Cuza" University 6600 Iaşi, Romania

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2009

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Abstract

In this paper, we define a new kind of intuitionistic fuzzy n-ary sub-hypergroups of an n-ary hypergroup. This definition, which is based on Atanassov's intuitionistic fuzzy sets, t-norms and t-conorms, includes earlier definitions of (n-ary) sub-hypergroups, (intuitionistic) fuzzy (n-ary) sub-hypergroups. Then some related properties are investigated. Also, intuitionistic fuzzy relations with respect to t-norms and t-conorms on n-ary hypergroups are discussed.