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On t-Intuitionistic Fuzzy PMS-Subalgebras of a PMS Algebra

Author

Listed:
  • Beza Lamesgin Derseh

    (Department of Mathematics, Bahir Dar University, Ethiopia)

  • Yohannes Gedamu Wondifraw

    (Department of Mathematics, Bahir Dar University, Ethiopia)

  • Berhanu Assaye Alaba

    (Department of Mathematics, Bahir Dar University, Ethiopia)

Abstract

In this paper, the authors extend the concept of a t-intuitionistic fuzzy set to PMS-subalgebras of PMS-algebras. The authors define the t-intuitionistic fuzzy PMS-subalgebra of a PMS-algebra and show that any intuitionistic fuzzy PMS-subalgebra of a PMS-algebra is a t-intuitionistic fuzzy PMS-subalgebra. The authors provide the condition for an intuitionistic fuzzy set in a PMS-algebra to be a t-intuitionistic fuzzy PMS-subalgebra. The authors use their (α,β) level cuts to characterize the t-intuitionistic fuzzy PMS-subalgebras of PMS-algebra. The authors investigate whether the homomorphic images and inverse images of t-intuitionistic fuzzy PMS-subalgebras are also t-intuitionistic fuzzy PMS-subalgebras. Furthermore, the authors show that the homomorphic images and inverse images of the nonempty (α,β) level cuts of the t-intuitionistic fuzzy PMS-subalgebras of a PMS-algebra are again PMS-subalgebras of a PMS-algebra. Finally, the authors show that the Cartesian product of the t-intuitionistic fuzzy PMS-subalgebras of a PMS-algebra is itself a t-intuitionistic fuzzy PMS-subalgebra and characterize it in terms of its (α,β) level cuts.

Suggested Citation

  • Beza Lamesgin Derseh & Yohannes Gedamu Wondifraw & Berhanu Assaye Alaba, 2023. "On t-Intuitionistic Fuzzy PMS-Subalgebras of a PMS Algebra," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 12(1), pages 1-22, January.
    • Handle: RePEc:igg:jfsa00:v:12:y:2023:i:1:p:1-22
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    References listed on IDEAS

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    1. Chiranjibe Jana & Tapan Senapati & Monoranjan Bhowmik & Madhumangal Pal, 2015. "On Intuitionistic Fuzzy G-subalgebras of G-algebras," Fuzzy Information and Engineering, Taylor & Francis Journals, vol. 7(2), pages 195-209, June.
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