Special intuitionistic fuzzy subhypergroups of complete hypergroups

Article type: Research Article

Authors: Cristea, Irina | Davvaz, Bijan | Hassani Sadrabadi, E.

Affiliations: Center for Systems and Information Technologies, University of Nova Gorica, Slovenia | Department of Mathematics, Yazd University, Yazd, Iran

Note: [] Corresponding author. Irina Cristea, Center for Systems and Information Technologies, University of Nova Gorica, Slovenia. E-mails: irinacri@yahoo.co.uk, irina.cristea@ung.si (I. Cristea); davvaz@yazd.ac.ir, bdavvaz@yahoo.com (B. Davvaz).

Abstract: Any complete hypergroup H can be characterized by an ordered m-tuple of natural numbers, representing the cardinalities of the subsets of H that divide it in a specific partition. In this paper we determine necessary and sufficient conditions concerning the corresponding m-tuples such that a particular intuitionistic fuzzy set (that is the key element in determining the intuitionistic fuzzy grade of a hypergroup) is an intuitionistic fuzzy subhypergroup of special complete hypergroups, those obtained from a group isomorphic with the additive group of integers modulo a prime number, or modulo the double of a prime number.

Keywords: Complete hypergroup, intuitionistic fuzzy set, intuitionistic fuzzy subhypergroup

DOI: 10.3233/IFS-141294

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 1, pp. 237-245, 2015