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On Intuitionistic Fuzzy Translation and Multiplication of PMS‐Ideals in PMS‐Algebras

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  • Beza Lamesgin Derseh

Abstract

In this manuscript, we explore the application of intuitionistic fuzzy translations and intuitionistic fuzzy multiplication of intuitionistic fuzzy sets to PMS‐algebras and examine various related properties. We analyze the relationships between an intuitionistic fuzzy PMS‐ideal A of a PMS‐algebra and its corresponding intuitionistic fuzzy ω‐translation AωT and intuitionistic fuzzy ζ‐multiplication AζM of A. Additionally, we investigate the interrelations among intuitionistic fuzzy translation, extension, and multiplication within the framework of intuitionistic fuzzy PMS‐ideals. Finally, we discuss the concept of intuitionistic fuzzy magnified ζω‐translation of intuitionistic fuzzy PMS‐ideals in a PMS‐algebra and investigate several related results.

Suggested Citation

  • Beza Lamesgin Derseh, 2025. "On Intuitionistic Fuzzy Translation and Multiplication of PMS‐Ideals in PMS‐Algebras," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jijmms:v:2025:y:2025:i:1:n:3478747
    DOI: 10.1155/ijmm/3478747
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    1. Beza Lamesgin Derseh & Berhanu Assaye Alaba & Yohannes Gedamu Wondifraw & Sergejs Solovjovs, 2022. "t-Intuitionistic Fuzzy Structures on PMS-Ideals of a PMS-Algebra," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2022, pages 1-13, September.
    2. 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 Scientific Publishing, vol. 12(1), pages 1-22, January.
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