Abstract
In this article, the VIKOR method is proposed to solve the multiple criteria group decision making (MCGDM) with 2-tuple linguistic neutrosophic numbers (2TLNNs). Firstly, the fundamental concepts, operation formulas and distance calculating method of 2TLNNs are introduced. Then some aggregation operators of 2TLNNs are reviewed. Thereafter, the original VIKOR method is extended to 2TLNNs and the calculating steps of VIKOR method with 2TLNNs are proposed. In the proposed method, it’s more reasonable and scientific for considering the conflicting criteria. Furthermore, the VIKOR are extended to interval-valued 2-tuple linguistic neutrosophic numbers (IV2TLNNs). Moreover, a numerical example for green supplier selection has been given to illustrate the new method and some comparisons are also conducted to further illustrate advantages of the new method.
Highlights
IntroductionBased on extended hesitant fuzzy linguistic information, Ghadikolaei, Madhoushi, and Divsalar (2018) built new extended VIKOR model for MADM problems
In complicated decision-making environment, the decision maker’s risk attitude is an important factor to think about. the VIKOR methods, which consider the compromise between group utility maximization and individual regret minimization, can make this come true by altering the parameters whereas other decision making ways such as the 2TLNNWA operator, the 2TLNNWG operator, the IV2TLNNWA operator and the IV2TLNNWG operator don’t have the ability that dynamic adjust to the parameter according to the decision maker’s risk attitude, so it is difficult to solve the risk multiple attribute decision making in real practice
The 2-tuple linguistic neutrosophic set (2TLNS), which is the generalized form of 2tuple linguistic set (2TLS) and single-valued neutrosophic set (SVNS), can express the assessment information more and reasonably
Summary
Based on extended hesitant fuzzy linguistic information, Ghadikolaei, Madhoushi, and Divsalar (2018) built new extended VIKOR model for MADM problems. Narayanamoorthy, Geetha, Rakkiyappan, and Joo (2019) developed an extended VIKOR model based on interval-valued intuitionistic hesitant fuzzy entropy for industrial robots selection. According to above literature review, we can obtain that the 2-tuple linguistic neutrosophic set (2TLNS) can express the assessment information and reasonably, the VIKOR method can consider the conflicting criteria. To combine these two advantages, we shall propose some extended VIKOR models with 2TLNNs. The structure of our paper is organized as follows.
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