Generalized (∈, ∈ ∨qk)-Fuzzy Quasi-Ideals in Semigroups

Authors

  • Muhammad Sajjad Ali Khan Department of Mathematics, Hazara University Mansehra, KPK, Pakistan.
  • Khaista Rahman Department of Mathematics, Hazara University Mansehra, KPK, Pakistan.
  • Aliya Fahmi Department of Mathematics, Hazara University Mansehra, KPK, Pakistan.
  • Muhammad Shakeel Department of Mathematics, Hazara University Mansehra, KPK, Pakistan.

Keywords:

(∈, ∈ ∨q δ k )-fuzzy generalized bi-ideal, (∈, ∈ ∨q δ k )-fuzzy bi-ideal, (∈, ∈ ∨q δ k )-fuzzy quasi-ideal

Abstract

In this article, we introduce the concept of (∈, ∈ ∨q δ k )-fuzzy(generalized) bi-ideal, (∈, ∈ ∨q δ k )-fuzzy (1, 2)-ideal, (∈, ∈ ∨q δ k )-fuzzyquasi-ideal in semigroups. We show that each (∈, ∈ ∨q δ k )-fuzzy quasiideal is an (∈, ∈ ∨q δ k )-fuzzy bi-ideal and each (∈, ∈ ∨q δ k )-fuzzy left (right) ideal is an (∈, ∈ ∨q δ k )-fuzzy quasi-ideal but the converses are not true in general. 

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Published

2018-03-31

Issue

Vol. 50 No. 1 (2018)

Section

Articles

How to Cite

Generalized (∈, ∈ ∨qk)-Fuzzy Quasi-Ideals in Semigroups. (2018). Punjab University Journal of Mathematics, 50(1), 33-51. https://pujm.pu.edu.pk/index.php/pujm/article/view/117