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

Article type: Research Article

Authors: Davvaz, B. | Hassani Sadrabadi, E. | Leoreanu-Fotea, V.

Affiliations: Department of Mathematics, Yazd University, Yazd, Iran | Faculty of Mathematics, “Al.I Cuza” University of Iasi, Iasi, Romania

Note: [] Corresponding author: B. Davvaz, Department of Mathematics, Yazd University, Yazd, Iran. E-mail: bdavvaz@yahoo.com

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.

Keywords: Fuzzy set, Atanassov's intuitionistic fuzzy set, hypergraph, fuzzy grade, join space

DOI: 10.3233/IFS-2012-0490

Journal: Journal of Intelligent & Fuzzy Systems, vol. 23, no. 1, pp. 9-25, 2012