UP (BCC)-代数中的格值模糊集

IF 0.7 Q2 MATHEMATICS International Journal of Analysis and Applications Pub Date : 2023-06-23 DOI:10.28924/2291-8639-21-2023-59

Aiyared Iampan, A. Satirad, R. Chinram, R. Prasertpong, P. Julatha

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引用次数: 0

摘要

本文将l -模糊集(lfs)的概念应用于UP (BCC)-代数，并引入UP (BCC)-代数中的五种lfs: L-fuzzy UP (BCC)-子代数、L-fuzzy近UP (BCC)-滤波器、L-fuzzy UP (BCC)-滤波器、L-fuzzy UP (BCC)-理想和L-fuzzy强UP (BCC)-理想。此外，我们还研究了UP (BCC)-代数中的特征lfs、t-level子集以及lfs的笛卡尔积。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Lattice Valued Fuzzy Sets in UP (BCC)-Algebras

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.

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