• Title/Summary/Keyword: PMS-algebras

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SOFT PMS-ALGEBRAS

  • Nibret Melese Kassahun;Berhanu Assaye Alaba;Yohannes Gedamu Wondifraw;Zelalem Teshome Wale
    • Korean Journal of Mathematics
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    • v.31 no.4
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    • pp.465-477
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    • 2023
  • In this paper, the concepts of soft PMS-algebras, soft PMS-subalgebras, soft PMS-ideals, and idealistic soft PMS-algebras are introduced, and their properties are studied. The restricted intersection, the extended intersection, union, AND operation, and the cartesian product of soft PMS-algebras, soft PMS-subalgebras, soft PMS-ideals, and idealistic soft PMS-algebras are established. Moreover, the homomorphic image and homomorphic pre-image of soft PMS-algebras are also studied.

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

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