Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Operators and Their Application in Multiple-Attribute Decision-Making

被引：19
|
作者：
Yang, Wei [1 ]
Shi, Jiarong [1 ]
Liu, Yong [1 ]
Pang, Yongfeng [1 ]
Lin, Ruiyue [2 ]
机构：
[1] Xian Univ Architecture & Technol, Sch Sci, Dept Math, Xian 710055, Shaanxi, Peoples R China
[2] Wenzhou Univ, Dept Math, Higher Educ Zone, Wenzhou 325035, Zhejiang, Peoples R China
来源：
COMPLEXITY | 2018年
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
AGGREGATION OPERATORS; MEMBERSHIP GRADES; INFORMATION; ENVIRONMENT; EXTENSION; TOPSIS; SETS;
D O I：
10.1155/2018/3606245
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to develop partitioned Pythagorean fuzzy interaction Bonferroni mean operators based on the Pythagorean fuzzy set, Bonferroni mean, and interaction between membership and nonmembership. Several new aggregation operators are developed including the Pythagorean fuzzy interaction partitioned Bonferroni mean (PFIPBM) operator, the Pythagorean fuzzy weighted interaction partitioned Bonferroni mean (PFWIPBM) operator, the Pythagorean fuzzy interaction partitioned geometric Bonferroni mean (PFIPGBM) operator, and the Pythagorean fuzzy weighted interaction partitioned geometric Bonferroni mean (PFWIPGBM) operator. Some main properties and some special particular cases of the new operators are studied. Many existing operators are the special cases of new aggregation operators. Moreover, a multiple-attribute decisionmaking method based on the proposed operator has been developed and the investment company selection problem is presented to illustrate feasibility and practical advantages of the new method.
引用
收藏
页数：25
相关论文
共 50 条
  • [1] Pythagorean fuzzy interaction power Bonferroni mean aggregation operators in multiple attribute decision making
    Wang, Lei
    Li, Na
    INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2020, 35 (01) : 150 - 183
  • [2] New Pythagorean Fuzzy Interaction Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making
    Yang, Wei
    Pang, Yongfeng
    IEEE ACCESS, 2018, 6 : 39241 - 39260
  • [3] Triangular Fuzzy Partitioned Bonferroni Mean Operators and Their Application to Multiple Attribute Decision Making
    Verma, Rajkumar
    Merigo, Jose M.
    Mittal, Niti
    2018 IEEE SYMPOSIUM SERIES ON COMPUTATIONAL INTELLIGENCE (IEEE SSCI), 2018, : 941 - 949
  • [4] Pythagorean uncertain linguistic partitioned Bonferroni mean operators and their application in multi-attribute decision making
    Liu, Zhengmin
    Liu, Peide
    Liu, Weilong
    Pang, Jinyan
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (03) : 2779 - 2790
  • [5] Multiple attribute group decision making based on intuitionistic fuzzy interaction partitioned Bonferroni mean operators
    Liu, Peide
    Chen, Shyi-Ming
    Liu, Junlin
    INFORMATION SCIENCES, 2017, 411 : 98 - 121
  • [6] Hesitant Pythagorean fuzzy interaction aggregation operators and their application in multiple attribute decision-making
    Yang, Wei
    Wang, Chengjun
    Liu, Yong
    Sun, Yan
    COMPLEX & INTELLIGENT SYSTEMS, 2019, 5 (02) : 199 - 216
  • [7] Hesitant Fuzzy Generalised Bonferroni Mean Operators Based on Archimedean Copula for Multiple-Attribute Decision-Making
    Wu, Ju
    Liu, Fang
    Rong, Yuan
    Liu, Yi
    Liu, Chengxi
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [8] Multiattribute Group Decision-Making Based on Linguistic Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Aggregation Operators
    Lin, Mingwei
    Wei, Jiuhan
    Xu, Zeshui
    Chen, Riqing
    COMPLEXITY, 2018,
  • [9] Triangular fuzzy Bonferroni mean operators and their application to multiple attribute decision making
    Zhu, Wei-Qun
    Liang, Pan
    Wang, Li-Jun
    Hou, Yan-Ru
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 29 (04) : 1265 - 1272
  • [10] Pythagorean fuzzy interaction aggregation operators and their application to multiple attribute decision making
    Wei, Guiwu
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 33 (04) : 2119 - 2132
12345