Regular Ordered Ternary Semigroups in Terms of Bipolar Fuzzy Ideals

被引：11

作者：

Bashir, Shahida ^{[1
]}

Fatima, Medhit ^{[1
]}

Shabir, Muhammad ^{[2
]}

机构：

[1] Univ Gujrat, Dept Math, Gujrat 50700, Pakistan

[2] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

来源：

MATHEMATICS | 2019年 / 7卷 / 03期

关键词：

ordered ternary semigroup; bipolar fuzzy ideal; bipolar fuzzy generalized bi-ideal; (alpha; beta)-bipolar fuzzy generalized bi-ideal;

D O I：

10.3390/math7030233

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our main objective is to introduce the innovative concept of (alpha,beta)-bipolar fuzzy ideals and (alpha,beta)-bipolar fuzzy generalized bi-ideals in ordered ternary semigroups by using the idea of belongingness and quasi-coincidence of an ordered bipolar fuzzy point with a bipolar fuzzy set. In this research, we have proved that if a bipolar fuzzy set h=(S;hn,hp) in an ordered ternary semigroup S is the (is an element of,is an element of proves q)-bipolar fuzzy generalized bi-ideal of S, it satisfies two particular conditions but the reverse does not hold in general. We have studied the regular ordered ternary semigroups by using the (is an element of,is an element of proves q)-bipolar fuzzy left (resp. right, lateral and two-sided) ideals and the (is an element of,is an element of proves q)-bipolar fuzzy generalized bi-ideals.

引用

页数：16

共 24 条

[1]

Bashir S., 2016, APPL MATH INFORM SCI, V10, P2247, DOI [10.18576/amis/100627, DOI 10.18576/AMIS/100627]

[2] On Ordered Ternary Semigroups [J].