Lattice Valued Fuzzy Sets in UP (BCC)-Algebras

被引：0

作者：

Iampan, Aiyared ^{[1
]}

Satirad, Akarachai ^{[1
]}

Chinram, Ronnason ^{[2
]}

Prasertpong, Rukchart ^{[3
]}

Julatha, Pongpun ^{[4
]}

机构：

[1] Univ Phayao, Sch Sci, Dept Math, Fuzzy Algebras & Decis Making Problems Res Unit, Phayao 56000, Thailand

[2] Prince Songkla Univ, Fac Sci, Div Computat Sci, Hat Yai 90110, Songkhla, Thailand

[3] Nakhon Sawan Rajabhat Univ, Fac Sci & Technol, Div Math & Stat, Nakhon Sawan 60000, Thailand

[4] Pibulsongkram Rajabhat Univ, Fac Sci & Technol, Dept Math, Phitsanulok 65000, Thailand

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2023年 / 21卷

关键词：

lattice; L-fuzzy set; characteristic L-fuzzy set; t-level subset; Cartesian product; UP (BCC)-algebra; UP-ALGEBRAS;

D O I：

10.28924/2291-8639-21-2023-59

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：32

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