Bipolar Complex Fuzzy Soft Sets and Their Applications in Decision-Making

被引:56
|
作者
Mahmood, Tahir [1 ]
Rehman, Ubaid Ur [1 ]
Jaleel, Abdul [1 ]
Ahmmad, Jabbar [1 ]
Chinram, Ronnason [2 ]
机构
[1] Int Islamic Univ, Dept Math & Stat, Islamabad 44000, Pakistan
[2] Prince Songkla Univ, Fac Sci, Div Computat Sci, Hat Yai 90110, Songkhla, Thailand
关键词
soft set; bipolar complex fuzzy set; bipolar complex fuzzy soft set; decision-making; SIMILARITY;
D O I
10.3390/math10071048
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This article introduces the notion of bipolar complex fuzzy soft set as a generalization of bipolar complex fuzzy set and soft set. Furthermore, this article contains elementary operations for bipolar complex fuzzy soft sets such as complement, union, intersection, extended intersection, and related properties. The OR and AND operations for bipolar complex fuzzy soft set are also initiated in this study. Moreover, this study contains the decision-making algorithm and real-life examples to display the success and usability of bipolar complex fuzzy soft sets. Finally, the comparative study of initiated notions with some prevailing ideas are also interpreted in this study.
引用
收藏
页数:19
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