Advancements in Fuzzy Translations: Extensions and Contractions in IUP-Algebras

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DOI: https://doi.org/10.28924/2291-8639-23-2025-263
Published: Oct 29, 2025
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Naruemon Khonyong, Suthitra Nathong, Jutatip Pratoomchai, Rukchart Prasertpong, Pongpun Julatha, Aiyared Iampan, Advancements in Fuzzy Translations: Extensions and Contractions in IUP-Algebras, Int. J. Anal. Appl., 23 (2025), 263.

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Naruemon Khonyong, Suthitra Nathong, Jutatip Pratoomchai, Rukchart Prasertpong, Pongpun Julatha, Aiyared Iampan

Abstract

In this paper, we present three different fuzzy translations of a fuzzy set in IUP-algebras. The ideas of fuzzy α-translation of µ of type I, fuzzy β-translation of µ of type II, and fuzzy γ-translation of µ of type III are introduced for any fuzzy set µ in an IUP-algebra. Their basic properties are looked into, and some useful examples are discussed. The concepts of prime fuzzy sets and weakly prime fuzzy sets in IUP-algebras are also studied. Moreover, we discuss the concepts of fuzzy extensions and fuzzy contractions of a fuzzy set in IUP-algebras.

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