Generalized Fuzzy Sub-hyperquasigroups of Hyperquasigroups

Authors:
B. Davvaz;P. Corsini
Affiliations:
Department of Mathematics, Yazd University, 89195-741, Yazd, Iran;Dipartimento di Matematica e Informatica, Via delle Scienze 206, 33100, Udine, Italy
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Year:
2006

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Abstract

This paper concerns a relationship between fuzzy sets and algebraic hyperstructures. It is a continuation of ideas presented by Davvaz (Fuzzy Sets Syst 101: 191–195 1999) and Bhakat and Das (Fuzzy Sets Syst 80: 359-368 1996). In fact, the object of this paper is to study the notion of sub-hyperquasigroup in the ($$\in, \in \vee q$$ q)-fuzzy setting.