On prime soft bi-hyperideals of semihypergroups

Article type: Research Article

Authors: Naz, Shafaq | Shabir, Muhammad

Affiliations: Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

Note: [] Corresponding author. Shafaq Naz, Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan. E-mails: [email protected]; [email protected] (Muhammad Shabir).

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.

Keywords: Soft subsemihypergroups, prime (strongly prime) soft bi-hyperideals, semiprime soft bi-hyperideals, irreducible (strongly irreducible) soft bi-hyperideals, regular and intra-regular semihypergroups

DOI: 10.3233/IFS-130837

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1539-1546, 2014