On generalizations of fuzzy quasi-prime ideals in LA-semigroups

被引：0
|
作者：
Yiarayong, Pairote [1 ]
机构：
[1] Pibulsongkram Rajabhat Univ, Fac Sci & Technol, Dept Math, Phitsanulok 65000, Thailand
来源：
SOFT COMPUTING | 2020年 / 24卷 / 03期
关键词：
(alpha; beta)-Fuzzy LA-subsemigroup; beta)-Fuzzy left ideal; beta)-Fuzzy completely prime subset; beta)-Fuzzy quasi-prime ideal; (alpha)-Fuzzy subset ((alpha)-fuzzy subset); AGGREGATION OPERATORS;
D O I：
10.1007/s00500-019-04043-x
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we extend the concept of fuzzy subsets given by Zadeh (Inf Control 8:338-353, 1965) to the context of (alpha)-fuzzy and (alpha)-fuzzy subsets. The aim of this paper is to investigate the concept of (alpha)-fuzzy and (alpha)-fuzzy subsets in LA-semigroups. Some characterizations of (alpha, beta)-fuzzy LA-subsemigroup, (alpha, beta)-fuzzy left, (alpha, beta)-fuzzy completely prime and (alpha, beta)-fuzzy quasi-prime ideals are obtained. Moreover, we investigate relationships between (alpha, beta)-fuzzy completely prime and (alpha, beta)-fuzzy quasi-prime ideals of LA-semigroups. Finally, we obtain sufficient conditions of an (alpha, beta)-fuzzy quasi-prime ideal in order to be an (alpha, beta)-fuzzy completely prime subset.
引用
收藏
页码：2125 / 2137
页数：13
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