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Intuitionistic Q-Fuzzy PMS-Subalgebras and Their Level Subsets in a PMS-Algebra

Author

Listed:
  • Beza Lamesgin Derseh

    (Department of Mathematics, Bahir Dar University, Bahir Dar, Ethiopia)

  • Yohannes Gedamu Wondifraw

    (Department of Mathematics, Bahir Dar University, Bahir Dar, Ethiopia)

  • Berhanu Assaye Alaba

    (Department of Mathematics, Bahir Dar University, Bahir Dar, Ethiopia)

Abstract

In this paper, we introduce the notion of an intuitionistic Q-fuzzy PMS-subalgebra of a PMS-algebra by using the concept of intuitionistic Q-fuzzy subsets in a PMS-algebra and investigate some of their related properties. We define and study the level subsets of an intuitionistic Q-fuzzy PMS-subalgebra of a PMS-algebra and subsequently characterize an intuitionistic Q-fuzzy PMS-subalgebra in terms of its level subsets. In turn, we prove that every PMS-subalgebra of a PMS-algebra is also the level PMS-subalgebra of an intuitionistic Q-fuzzy PMS-subalgebra of a PMS-algebra.

Suggested Citation

  • Beza Lamesgin Derseh & Yohannes Gedamu Wondifraw & Berhanu Assaye Alaba, 2023. "Intuitionistic Q-Fuzzy PMS-Subalgebras and Their Level Subsets in a PMS-Algebra," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 503-524, July.
    • Handle: RePEc:wsi:nmncxx:v:19:y:2023:i:02:n:s1793005723500199
    DOI: 10.1142/S1793005723500199
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