Multi-attribute Group Decision-making for Online Education Live Platform Selection Based on Linguistic Intuitionistic Cubic Fuzzy Aggregation Operators

Abstract The purpose of this study is to propose a multi-attribute group decisionmaking (MAGDM) method for online education live platform selection based on proposed novel aggregation operators (AOs) under linguistic intuitionistic cubic fuzzy set (LICFS). Firstly, the Archimedean coupla and co-coupla 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/LICFCWG have been obtained by different types generators of ECs and ECCs. Thirdly, 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 (LIFS) and intuitionistic cubic fuzzy set (ICFS), respectively, under different situations. 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.