On prime soft bi-hyperideals of semihypergroups

Authors:
Shafaq Naz;Muhammad Shabir
Affiliations:
Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan;Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

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Abstract

In this paper, we introduce prime, strongly prime, semiprime, irreducible and strongly irreducible soft bi-hyperideals of a semihypergroup over an initial universe U. We characterize regular and intra-regular semihypergroups in terms of these soft bi-hyperideals.