Int-soft bi-hyperideals in ordered ternary semihypergroups

Abstract

The aim of this paper is to study po-ternary semihypergroups in terms of the int-soft bi-hyperideals. We introduce the notion of int-soft bi-hyperideals in po-ternary semihypergroups and some properties of them are investigated. Characterizations of bi-hyperideals in terms of int-soft bi-hyperideals are obtained. We prove that every int-soft hyperideal is an int-soft bi-hyperideal but the converse is not true. Examples are provided to illustrate the results.