Multi-attribute group decision-making for online education live platform selection based on linguistic intuitionistic cubic fuzzy aggregation operators

被引:0
作者
Hao bin Liu
Yi Liu
Lei Xu
Saleem Abdullah
机构
[1] Neijiang Normal University,Data Recovery Key Lab of Sichuan Province
[2] Neijiang Normal University,School of Mathematics and Information Science
[3] Neijiang Normal University,Numerical Simulation Key Laboratory of Sichuan Province
[4] Abdul Wali Khan University,Department of Mathematics
[5] Garden Campus,undefined
来源
Computational and Applied Mathematics | 2021年 / 40卷
关键词
Linguistic intuitionistic cubic fuzzy set; Extended copula; Extended co-copula; Aggregation operator; Multi-attribute group decision-making; 90C29; 91B06;
D O I
暂无
中图分类号
学科分类号
摘要
The purpose of this study is to propose a multi-attribute group decision-making (MAGDM) method for online education live platform selection based on proposed novel aggregation operators (AOs) under linguistic intuitionistic cubic fuzzy set (LICFS). First, the Archimedean copula and co-copula are extended to handle linguistic intuitionistic cubic fuzzy information (LICFI) and the operational law of linguistic intuitionistic cubic fuzzy variables (LICFVs) based on extended copula (EC) and extended co-copula (ECC) are given. In addition, linguistic intuitionistic cubic fuzzy copula weighted average (LICFCWA) operator and linguistic intuitionistic cubic fuzzy copula weighted geometric (LICFCWG) operator are proposed based on EC and ECC under LICFI; meanwhile, some special forms of LICFCWA and LICFCWG have been obtained by different types generators of ECs and ECCs. Third, a novel MAGDM approach based on proposed LICFCWA (LICFCWG) is constructed to solve the selection problem of the online education live platform in the period of the COVID-19, and a detailed parameter analysis was carried out. Fourthly, LICFS will degenerate into linguistic intuitionistic fuzzy set and intuitionistic cubic fuzzy set, respectively, in different cases. Finally, some comparisons are carried out with other existing proposed MAGDM approaches. By comparing different types of experiments, the effectiveness and flexibility of the proposed approach are also showed.
引用
收藏
相关论文
共 125 条
[1]  
Arora R(2019)Group decision-making method based on prioritized linguistic intuitionistic fuzzy aggregation operators and its fundamental properties Comput Appl Math 20 87-96
[2]  
Garg H(1986)Intuitionistic fuzzy sets Fuzzy Sets Syst 31 343-349
[3]  
Atanassov K(1989)Interval valued intuitionistic fuzzy sets Fuzzy Sets Syst 255 82-99
[4]  
Atanassov K(2014)Aggregation functions for typical hesitant fuzzy elements and the action of automorphisms Inf Sci 8 747-760
[5]  
Gargov G(2015)An approach to multiple attribute group decision making based on linguistic intuitionistic fuzzy numbers Int J Comput Intell Syst 37 2887-2912
[6]  
Bedregal B(2018)Novel operations for linguistic neutrosophic sets on the basis of Archimedean copulas and co-copulas and their application in multi-criteria decision-making problems J Intell Fuzzy Syst 38 2-3337
[7]  
Reiser R(2019)Cloud-based ERP system selection based on extended probabilistic linguistic MULTIMOORA method and Choquet integral operator Comput Appl Math 33 3323-2416
[8]  
Bustince H(2015)Max-Min composition of linguistic intuitionistic fuzzy relations and application in medical diagnosis VNU J Sci Comput Sci Commun Eng 34 2401-596
[9]  
Molina CL(2017)Aggregation operators on triangular cubic fuzzy numbers and its application to multi-criteria decision making problems J Intell Fuzzy Syst 37 583-1263
[10]  
Torra V(2018)Triangular cubic linguistic hesitant fuzzy aggregation operators and their application in group decision making J Intell Fuzzy Syst 33 1234-3227