Applications of interval valued fuzzy n-ary polygroups with respect to t-norms (t-conorms)

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

  • Affiliations:
  • Department of Mathematics, Yazd University, Yazd, Iran;Faculty of Mathematics, "Al.I. Cuza" University, Iaşi, Romania

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2009

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Abstract

Using the triangular norm T (conorm S) in the context of n-ary polygroups, we introduce the concept of an interval-valued (anti) fuzzy n-ary subpolygroup with respect to T (S respectively). A necessary and sufficient condition for an interval-valued fuzzy subset in order to be an interval-valued (anti) fuzzy n-ary subpolygroup is established and some important results are presented. This study is useful for the most computational part of fuzzy control, which is the defuzzification.