The main theme of this paper is to study ordered semihypergroups in the context of int-soft interior hyperideals.In this Mists 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 ADULT TOOTHBRUSH of int-soft hyperideals and int-soft interior hyperideals.