Rough approximation of a fuzzy set in semigroups based on soft relations

被引：24
|
作者：
Kanwal, Rani Sumaira [1 ]
Shabir, Muhammad [1 ]
机构：
[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2019年 / 38卷 / 02期
关键词：
Soft relations; Fuzzy set approximation; Fuzzy substructures; BI-IDEALS; FILTERS; ELEMENT;
D O I：
10.1007/s40314-019-0851-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Binary relations play an important role in both mathematics and information sciences. In this paper, we focus our discussion on a fuzzy set which is approximated in the sense of the aftersets and foresets. To this end, a soft binary relation has been used. A new approach is being introduced to get two sets of fuzzy soft sets, called the lower approximation and upper approximation regarding the aftersets and foresets. We applied these concepts on semigroups and approximations of fuzzy subsemigroups, fuzzy left (right) ideals, fuzzy interior ideals and fuzzy bi-ideals of semigroups are studied.
引用
收藏
页数：23
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