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

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Journal of New Theory
Issue:23
(M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups

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

Authors : Muhammad FAROOQ, Asghar KHAN, Muhammad IZHAR, Bijan DAVVAZ

Pages : 31-47

View : 16 | Download : 9

Publication Date : 2018-06-01

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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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