Multi-Criteria Decision-Making Methods in Bipolar Fuzzy Environment

被引:95
|
作者
Alghamdi, M. A. [1 ]
Alshehri, Noura Omair [2 ]
Akram, Muhammad [3 ]
机构
[1] Imam Abdulrahman Bin Faisal Univ, Fac Sci, Dept Math, Dammam, Saudi Arabia
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
[3] Univ Punjab, Dept Math, New Campus, Lahore, Pakistan
关键词
Bipolar fuzzy set; TOPSIS method; ELECTRE I method; TOPSIS METHOD; SETS;
D O I
10.1007/s40815-018-0499-y
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Bipolar fuzzy set theory, an extension of fuzzy set theory, deals with incomplete and vague information. The purpose of this research paper is to develop new methodologies in handling multi-criteria decision-making (MCDM) problems where the subjective data given by a decision maker are expressed with bipolar fuzzy information. Every alternative has a rating consists of two parts: positive and negative. The positive part represents the benefit (or satisfaction degree) and the negative part represents the cost (or dissatisfaction degree) of the alternative on the corresponding criterion. In this paper, we present bipolar fuzzy TOPSIS (BF-TOPSIS) method and bipolar fuzzy ELECTRE I (BF-ELECTRE I) method for solving MCDM problems that are equipped with bipolar fuzzy information. We illustrate our proposed methods with examples. We design algorithms of BF-TOPSIS method and BF-ELECTRE I method. We also give comparison of BF-TOPSIS method and BF-ELECTRE I method.
引用
收藏
页码:2057 / 2064
页数:8
相关论文
共 50 条
  • [1] Multi-Criteria Decision-Making Methods in Bipolar Fuzzy Environment
    M. A. Alghamdi
    Noura Omair Alshehri
    Muhammad Akram
    [J]. International Journal of Fuzzy Systems, 2018, 20 : 2057 - 2064
  • [2] Extending the WEDBA to the fuzzy multi-criteria decision-making environment
    Al-Hawari, Tarek
    Naji, Ahmed
    Alshraideh, Hussam
    Bataineh, Omar
    [J]. INTERNATIONAL JOURNAL OF COMPUTER APPLICATIONS IN TECHNOLOGY, 2019, 59 (04) : 330 - 346
  • [3] Vague Set Methods of Multi-criteria Fuzzy Decision-making
    Yan, Ruixia
    Zheng, Jianguo
    Wang, Xiang
    [J]. 2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 658 - 661
  • [4] A robust aggregation operator for multi-criteria decision-making method with bipolar fuzzy soft environment
    Jana, C.
    Pal, M.
    Wang, J.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2019, 16 (06): : 1 - 16
  • [5] Multi-criteria decision-making methods based on intuitionistic fuzzy sets
    Liu, Hua-Wen
    Wang, Guo-Jun
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2007, 179 (01) : 220 - 233
  • [6] Multi-criteria decision making in Pythagorean fuzzy environment
    Fei, Liguo
    Deng, Yong
    [J]. APPLIED INTELLIGENCE, 2020, 50 (02) : 537 - 561
  • [7] Multi-criteria decision making in Pythagorean fuzzy environment
    Liguo Fei
    Yong Deng
    [J]. Applied Intelligence, 2020, 50 : 537 - 561
  • [8] An extension of fuzzy decision maps for multi-criteria decision-making
    Elomda, Basem Mohamed
    Hefny, Hesham Ahmed
    Hassan, Hesham Ahmed
    [J]. EGYPTIAN INFORMATICS JOURNAL, 2013, 14 (02) : 147 - 155
  • [9] Hybrid Multi-criteria Decision-Making Approach for Supplier Evaluation in Fuzzy Environment
    Bhayana, Nidhi
    Gandhi, Kanika
    Jha, P. C.
    [J]. PROCEEDINGS OF FIFTH INTERNATIONAL CONFERENCE ON SOFT COMPUTING FOR PROBLEM SOLVING (SOCPROS 2015), VOL 2, 2016, 437 : 991 - 1009
  • [10] Fuzzy α-discounting method for multi-criteria decision-making
    Karaman, Atilla
    Dagdeviren, Metin
    [J]. JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS, 2015, 38 (07) : 855 - 865