Rough fuzzy bipolar soft sets and application in decision-making problems

被引：51
|
作者：
Malik, Nosheen [1 ]
Shabir, Muhammad [1 ]
机构：
[1] Quaid i Azam Univ, Dept Math, Islamabad, Pakistan
来源：
SOFT COMPUTING | 2019年 / 23卷 / 05期
关键词：
Rough sets; Approximation space; Fuzzy sets; Bipolar information; Fuzzy bipolar soft sets; ALGEBRAIC STRUCTURES; LOGIC;
D O I：
10.1007/s00500-017-2883-1
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The rough set theory is a successful tool to study the vagueness in data, while the fuzzy bipolar soft sets have ability to handle the uncertainty, as well as bipolarity of the information in many situations. We connect the Pawlak's rough sets with the fuzzy bipolar soft sets and introduce the concept of rough fuzzy bipolar soft sets. We also examine some structural properties of rough fuzzy bipolar soft sets and study the effects of the equivalence relation in Pawlak approximation space on the roughness of the fuzzy bipolar soft sets. We also discuss some similarity relations among the fuzzy bipolar soft sets, based on their roughness. At the end, an application of the rough fuzzy bipolar soft sets in a decision-making problem is discussed and an algorithm for this application is proposed, supported by an example.
引用
收藏
页码：1603 / 1614
页数：12
相关论文
共 50 条
  • [31] On bipolar fuzzy soft topology with decision-making
    Muhammad Riaz
    Syeda Tayyba Tehrim
    Soft Computing, 2020, 24 : 18259 - 18272
  • [32] On bipolar fuzzy soft topology with decision-making
    Riaz, Muhammad
    Tehrim, Syeda Tayyba
    SOFT COMPUTING, 2020, 24 (24) : 18259 - 18272
  • [33] Possibility m-polar fuzzy soft sets and its application in decision-making problems
    Khalil, Ahmed Mostafa
    Li, Sheng-Gang
    Li, Hong-Xia
    Ma, Sheng-Quan
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (01) : 929 - 940
  • [34] Hesitant Bipolar-Valued Fuzzy Soft Sets and Their Application in Decision Making
    Wang, Jin-Ying
    Wang, Yan-Ping
    Liu, Lei
    COMPLEXITY, 2020, 2020
  • [35] Hybrid models for decision-making based on rough Pythagorean fuzzy bipolar soft information
    Muhammad Akram
    Ghous Ali
    Granular Computing, 2020, 5 : 1 - 15
  • [36] Hybrid models for decision-making based on rough Pythagorean fuzzy bipolar soft information
    Akram, Muhammad
    Ali, Ghous
    GRANULAR COMPUTING, 2020, 5 (01) : 1 - 15
  • [37] Decision-Making Based on q-Rung Orthopair Fuzzy Soft Rough Sets
    Wang, Yinyu
    Hussain, Azmat
    Mahmood, Tahir
    Ali, Muhammad Irfan
    Wu, Hecheng
    Jin, Yun
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020 (2020)
  • [38] A distance-similaritymethod to solve fuzzy sets and fuzzy soft sets based decision-making problems
    Paik, Biplab
    Mondal, Shyamal Kumar
    SOFT COMPUTING, 2020, 24 (07) : 5217 - 5229
  • [39] Hypergraphs and Rough Sets with Their Applications in Decision-Making Problems
    Praba, B.
    Gomathi, G.
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2022, 18 (02) : 293 - 311
  • [40] Improving decision making approaches based on fuzzy soft sets and rough soft sets
    Liu, Yaya
    Qin, Keyun
    Martinez, Luis
    APPLIED SOFT COMPUTING, 2018, 65 : 320 - 332
12345