Korean J. Math. Vol. 30 No. 3 (2022) pp.443-458
DOI: https://doi.org/10.11568/kjm.2022.30.3.443

Intuitionistic Q-fuzzy PMS-ideals of a PMS-Algebra

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Published: Sep 30, 2022
Keywords:
PMS-algebra, PMS-ideal, Q-fuzzy set, intuitionistic Q-fuzzy set, intuitionistic Q-fuzzy PMS-ideal, level PMS-ideal.
Mathematics Subject Classification:
03B20, 03B52, 03G25, 03F55.

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Beza Lamesgin Derseh
Department of Mathematics, Bahir Dar university, Bahir Dar, Ethiopia
Berhanu Assaye Alaba
Department of Mathematics, Bahir Dar university, Bahir Dar, Ethiopia
Yohannes Gedamu Wondifraw
Department of Mathematics, Bahir Dar university, Bahir Dar, Ethiopia

Abstract

In this paper, we apply the concept of intuitionistic Q-fuzzy set to PMS-algebras. We study the concept of intuitionistic Q-fuzzy PMS-ideals of PMS-algebras and investigate some related properties of intuitionistic Q-fuzzy PMS-ideals of PMS-algebras. We provide the relationship between an intuitionistic Q-fuzzy PMS-subalgebra and an intuitionistic Q-fuzzy PMS-ideal of a PMS-algebra. We establish a condition for an intuitionistic Q-fuzzy set in a PMS-algebra to be an intuitionistic Q-fuzzy PMS-ideal of a PMS-algebra. Characterizations of intuitionistic Q-fuzzy PMS-ideals of PMS-algebras in terms of their level sets are given.



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