A extended intuitionistic fuzzy Choquet integral correlation coefficient based on Shapley index in multi-criteria decision making

被引:7
|
作者
Zhou, Haisheng [1 ]
Qu, Guohua [2 ]
Zou, Yong [3 ]
Liu, Zengliang [1 ]
Li, Chunhua [2 ]
Yan, Xuxian [2 ]
机构
[1] Beijing Inst Technol, Sch Management & Econ, Beijing, Peoples R China
[2] Shanxi Univ Finance & Econ, Coll Management Sci & Engn, Taiyuan 030006, Shanxi, Peoples R China
[3] Guilin Univ Technol, Business Sch, Guilin, Peoples R China
关键词
Intuitionistic fuzzy Shapley Choquet integral correlation coefficient; intuitionistic fuzzy sets; Shapley fuzzy measure; multiple criteria decision making; AGGREGATION OPERATORS; SETS; TOOL;
D O I
10.3233/JIFS-171914
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
An intuitionistic fuzzy set (IFS) consists of two parts, the membership function and non-membership function which is a generalized form of a fuzzy set (FS), supporting a more exemplary and flexible access to assign values for each element in the domain. Intuitionistic fuzzy correlation coefficient between variables plays a significant role in a variety of areas. In the present paper, we use the Choquet integral and Shapley index to propose intuitionistic fuzzy Shapley Choquet integral correlation coefficient as a new extension of existing correlation coefficient for intuitionistic fuzzy correlation coefficient. Then, an evaluation formula of intuitionistic fuzzy Shapley Choquet integral correlation coefficient between an alternative and the ideal alternative is proposed. The considered alternatives can be ranked and the most desirable one is selected as well. Finally, we present a comparative analysis of the three methods in green sustainable supply chain choice to show the effectiveness of the developed methods.
引用
收藏
页码:2051 / 2062
页数:12
相关论文
共 50 条
  • [41] SHAPLEY FUNCTION BASED INTERVAL-VALUED INTUITIONISTIC FUZZY VIKOR TECHNIQUE FOR CORRELATIVE MULTI-CRITERIA DECISION MAKING PROBLEMS
    Rani, P.
    Jain, D.
    Hooda, D. S.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2018, 15 (01): : 25 - 54
  • [42] Interval neutrosophic numbers Choquet integral operator for multi-criteria decision making
    Sun, Hong-Xia
    Yang, Hao-Xiong
    Wu, Jian-Zhang
    Ouyang, Yao
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 28 (06) : 2443 - 2455
  • [43] Intuitionistic fuzzy interpretations of multi-person multi-criteria decision making
    Atanassov, K
    Pasi, G
    Yager, R
    [J]. 2002 FIRST INTERNATIONAL IEEE SYMPOSIUM INTELLIGENT SYSTEMS, VOL 1, PROCEEDINGS, 2002, : 115 - 119
  • [44] IF-TODIM: An intuitionistic fuzzy TODIM to multi-criteria decision making
    Krohling, Renato A.
    Pacheco, Andre G. C.
    Siviero, Andre L. T.
    [J]. KNOWLEDGE-BASED SYSTEMS, 2013, 53 : 142 - 146
  • [45] Ranking of Intuitionistic Fuzzy Alternatives in a Multi-criteria Decision Making Problem
    Szmidt, Eulalia
    Kacprzyk, Janusz
    [J]. 2009 ANNUAL MEETING OF THE NORTH AMERICAN FUZZY INFORMATION PROCESSING SOCIETY, 2009, : 187 - +
  • [46] A consensus reaching process based on the concordance correlation measure of intuitionistic fuzzy sets in multi-criteria decision making
    Liu, Donghai
    Luo, Yan
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 41 (02) : 3121 - 3136
  • [47] Pythagorean fuzzy multi-criteria decision-making approach based on Spearman rank correlation coefficient
    Huimin Li
    Yongchao Cao
    Limin Su
    [J]. Soft Computing, 2022, 26 : 3001 - 3012
  • [48] Pythagorean fuzzy multi-criteria decision-making approach based on Spearman rank correlation coefficient
    Li, Huimin
    Cao, Yongchao
    Su, Limin
    [J]. SOFT COMPUTING, 2022, 26 (06) : 3001 - 3012
  • [49] Choquet integral correlation coefficient of intuitionistic fuzzy sets and its applications
    Qu, Guohua
    Qu, Weihua
    Zhang, Zhenhua
    Wang, Jianxiu
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 33 (01) : 543 - 553
  • [50] Intuitionistic fuzzy multi-criteria decision-making method based on evidential reasoning
    Wang, Jian-qiang
    Nie, Rong-rong
    Zhang, Hong-yu
    Chen, Xiao-hong
    [J]. APPLIED SOFT COMPUTING, 2013, 13 (04) : 1823 - 1831