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

Year 2018, Issue: 23, 31 - 47, 01.06.2018

Muhammad Farooq Asghar Khan Muhammad Izhar Bijan Davvaz

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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