Int-Soft Interior Hyperideals of Ordered Semihypergroups

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Asghar Khan, Muhammad Farooq, Bijan Davvaz


The main theme of this paper is to study ordered semihypergroups in the context of int-soft interior hyperideals. In this paper, the notion of int-soft interior hyperideals are studied and their related properties are discussed. We present characterizations of interior hyperideals in terms of int-soft interior hyperideals. The concepts of int-soft hyperideals and int-soft interior hyperideals coincide in a regular as well as in intra-regular ordered semihypergroups. We prove that every int-soft hyperideal is an int-soft interior hyperideal but the converse is not true which is shown with help of an example. Furthermore we characterize simple ordered semihypergroups by means of int-soft hyperideals and int-soft interior hyperideals.

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