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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, Hindawi, vol. 2025, pages 1-12, December.
  • Handle: RePEc:hin:jijmms:3478747
    DOI: 10.1155/ijmm/3478747
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