(M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups

Abstract

Molodtsov introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper, we apply the notion of soft sets to the ordered semihypergroups and introduce the notion of (M , N )-int-soft generalized bi-hyperideals of ordered semihypergroups. Moreover their related properties are investigated. We prove that every int-soft generalized bi-hyperideal is an (M , N )-int-soft generalized bi-hyperideals of S over U but the converse is not true which is shown with help of an example. We present new characterization of ordered semihypergroups in terms of (M , N )-int-soft generalized bi-hyperideals.

Keywords

• Ordered semihypergroup,int-soft hyperideal,int-soft generalized bi-hyperideal,(M,N )-int-soft hyperideal,N )-int-soft generalized bi-hyperideal

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