On Interval-valued Anti Fuzzy Prime bi-ideal of Semigroup

Authors

  • S. A. Wuhaib
  • Akram S. Mohammed
  • Zeyad. M. Abdullah

DOI:

https://doi.org/10.25130/tjps.v21i1.956

Abstract

In this paper, we introduce the notions of interval-valued anti fuzzy prime (resp. strongly prime and semiprime) bi-ideals of semigroup. By using these ideas, we characterize those semigroup for which each interval anti-fuzzy bi-ideal is semiprime and strongly prime.

  1. Introduction: The theory of fuzzy sets proposed by Zadeh [6], in his classic paper of 1965, deal with the applications of fuzzy technology in information processing. Mordeson, Malik and Kuroki gave a systematic exposition fuzzy semigroups in [2], where one can find theoretical results on fuzzy semigroups. Shabir and Kanwal [5], introduced the concept of prime bi-ideal, strongly prime bi-ideals and semiprime bi-ideal of a semigroup and studied those semigroups.

In this paper we introduced the   concept of interval valued anti fuzzy prime, strongly prime and semiprime bi-ideal of semigroups and give characterization of semigroups in terms of these notions we characterize those semigroups for which each interval-valued anti fuzzy bi-ideal is semiprime and strongly irreducible.                                                       

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Published

2023-02-04

How to Cite

S. A. Wuhaib, Akram S. Mohammed, & Zeyad. M. Abdullah. (2023). On Interval-valued Anti Fuzzy Prime bi-ideal of Semigroup. Tikrit Journal of Pure Science, 21(1), 95–98. https://doi.org/10.25130/tjps.v21i1.956

Issue

Vol. 21 No. 1 (2016)

Section

Articles

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