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

Research Article

Lattice Valued Fuzzy Sets in UP (BCC)-Algebras

  • Aiyared Iampan1*
  • Akarachai Satirad
  • Ronnason Chinram
  • Rukchart Prasertpong
  • Pongpun Julatha
  1. University of Phayao

* Corresponding author

Abstract

The aim of this paper is to apply the concept of L-fuzzy sets (LFSs) to UP (BCC)-algebras and introduce five types of LFSs in UP (BCC)-algebras: L-fuzzy UP (BCC)-subalgebras, L-fuzzy near UP (BCC)-filters, L-fuzzy UP (BCC)-filters, L-fuzzy UP (BCC)-ideals, and L-fuzzy strong UP (BCC)-ideals. Also, we study the characteristic LFSs, t-level subsets, and the Cartesian product of LFSs in UP (BCC)-algebras.

How to Cite

A. Iampan, A. Satirad, R. Chinram, R. Prasertpong, P. Julatha, Lattice Valued Fuzzy Sets in UP (BCC)-Algebras, Int. J. Anal. Appl. 21 (2023), 59. https://doi.org/10.28924/2291-8639-21-2023-59

BibTeX
@article{Iampan2023,
  author  = {Iampan, Aiyared and Satirad, Akarachai and Chinram, Ronnason and Prasertpong, Rukchart and Julatha, Pongpun},
  title   = {Lattice Valued Fuzzy Sets in UP (BCC)-Algebras},
  journal = {Int. J. Anal. Appl.},
  volume  = {21},
  year    = {2023},
  pages   = {59},
  doi     = {10.28924/2291-8639-21-2023-59}
}

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