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

Beza Lamesgin Derseh

International Journal of Mathematics and Mathematical Sciences, 2025, vol. 2025, 1-12

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.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:3478747

DOI: 10.1155/ijmm/3478747

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