Atanassov's intuitionistic fuzzy grade of hypergroups

  • Authors:
  • Irina Cristea;Bijan Davvaz

  • Affiliations:
  • DIEA, University of Udine, Via delle Scienze 208, 33100 Udine, Italy;Department of Mathematics, Yazd University, Yazd, Iran

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2010

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Abstract

This paper deals with connections between hypergroupoids and Atanassov's intuitionistic fuzzy sets. First a sequence of join spaces is associated with a hypergroupoid H; the length of the sequence is called Atanassov's intuitionistic fuzzy grade of H. Second, a theorem about the existence of a hypergroup with Atanassov's intuitionistic fuzzy grade equal to n is proved. Furthermore, some properties of the complete hypergroups in connection with this argument are presented and discussed.