International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Int-Soft Interior Hyperideals of Ordered Semihypergroups

  • Asghar Khan1*
  • Muhammad Farooq2
  • Bijan Davvaz3
  1. Abdul Wali Khan University
  2. Abdul Wali Khan University Mardan, KP
  3. Yazd University, Yazd, Iran

* Corresponding author

Abstract

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

How to Cite

A. Khan, M. Farooq, B. Davvaz, Int-Soft Interior Hyperideals of Ordered Semihypergroups, Int. J. Anal. Appl. 14 (2017), 193–202.

BibTeX
@article{Khan2017,
  author  = {Khan, Asghar and Farooq, Muhammad and Davvaz, Bijan},
  title   = {Int-Soft Interior Hyperideals of Ordered Semihypergroups},
  journal = {Int. J. Anal. Appl.},
  volume  = {14},
  year    = {2017},
  pages   = {193--202},
  doi     = {}
}

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