On soft 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] (M. Shabir).

Abstract: Molodtsov introduced the concept of soft set theory which can be used as a generic mathematical tool for dealing with uncertainties. In this paper, we discuss a new approach to introduce the basic properties of soft sets and compare soft sets to the related concepts of semihypergroups. We initiate the study of soft semihypergroups by using the soft subsemihypergroups, soft hyperideals, soft prime (semiprime) hyperideals, soft irreducible hyperideals.

Keywords: Soft hyperideal, soft prime hyperideal, soft semiprime hyperideal, soft irreducible hyperideal

DOI: 10.3233/IFS-130894

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 5, pp. 2203-2213, 2014