International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

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

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

    * Corresponding author

    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.

    How to Cite

    N. Khonyong, S. Nathong, J. Pratoomchai, R. Prasertpong, P. Julatha, A. Iampan, Advancements in Fuzzy Translations: Extensions and Contractions in IUP-Algebras, Int. J. Anal. Appl. 23 (2025), 263. https://doi.org/10.28924/2291-8639-23-2025-263

    BibTeX
    @article{Khonyong2025,
  author  = {Khonyong, Naruemon and Nathong, Suthitra and Pratoomchai, Jutatip and Prasertpong, Rukchart and Julatha, Pongpun and Iampan, Aiyared},
  title   = {Advancements in Fuzzy Translations: Extensions and Contractions in IUP-Algebras},
  journal = {Int. J. Anal. Appl.},
  volume  = {23},
  year    = {2025},
  pages   = {263},
  doi     = {10.28924/2291-8639-23-2025-263}
}

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