Atanassov's intuitionistic fuzzy grade of a sequence of fuzzy sets and join spaces determined by a hypergraph

Authors:
B. Davvaz;E. Hassani Sadrabadi;V. Leoreanu-Fotea
Affiliations:
Department of Mathematics, Yazd University, Yazd, Iran;Department of Mathematics, Yazd University, Yazd, Iran;Faculty of Mathematics, “Al.I Cuza” University of Iasi, Iasi, Romania
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2012

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Abstract

The length of the sequence of join spaces and Atanassov's intuitionistic fuzzy sets associated with a hypergroupoid H is called the Atanassov's intuitionistic fuzzy grade of H. In this paper, we consider a certain sequence of Atanassov's intuitionistic fuzzy sets and join spaces determined by a hypergroupoid associated with a hypergraph. We study this sequence in several particular cases and determine the Atanassov's intuitionistic fuzzy grade of a such sequence.