Roughness of a set by (α,β)-indiscernibility of Bipolar fuzzy relation

被引：0
|
作者：
Gul, Rizwan [1 ]
Shabir, Muhammad [1 ]
机构：
[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2020年 / 39卷 / 03期
关键词：
Fuzzy set; Rough set; Bipolar fuzzy set; Bipolar fuzzy tolerance relation; (alpha; beta)-Indiscernibility; beta)-Bipolar fuzzified rough approximations; DECISION-MAKING METHOD; SOFT SETS; GRAPHS;
D O I：
10.1007/s40314-020-01174-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we introduce a new technique for roughness of a set based on (alpha, beta)-indiscernibility, that is, objects are indiscernible up to certain degrees alpha and beta. For this purpose, a bipolar fuzzy tolerance relation has been used. Also we investigate some fundamental properties of these approximations. Finally, we give the notions of accuracy measure and roughness measure for (alpha, beta)-bipolar fuzzified rough set.
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页数：22
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