• Title/Summary/Keyword: PMS-algebra

Search Result 2, Processing Time 0.014 seconds

INTUITIONISTIC FUZZY PMS-SUBALGEBRA OF A PMS-ALGEBRA

  • Derseh, Beza Lamesgin;Alaba, Berhanu Assaye;Wondifraw, Yohannes Gedamu
    • Korean Journal of Mathematics
    • /
    • v.29 no.3
    • /
    • pp.563-576
    • /
    • 2021
  • In this paper, we introduce the notion of intuitionistic fuzzy PMS-subalgebra of a PMS-algebra. The idea of level subsets of an intuitionistic fuzzy PMS-subalgebra of a PMS-algebra is introduced. The relation between intuitionistic fuzzy sets and their level sets in a PMS-algebra is examined, and some interesting results are obtained.

INTUITIONISTIC Q-FUZZY PMS-IDEALS OF A PMS-ALGEBRA

  • Derseh, Beza Lamesgin;Alaba, Berhanu Assaye;Wondifraw, Yohannes Gedamu
    • Korean Journal of Mathematics
    • /
    • v.30 no.3
    • /
    • pp.443-458
    • /
    • 2022
  • 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.