Affiliations: [a] School of Economics and Management, Southwest Jiaotong University, Chengdu, Sichuan, China
| [b] Logistics and E-commerce College, Zhejiang Wanli University, Ningbo, Zhejiang, China
Correspondence:
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Corresponding author. Zu-Jun Ma, School of Economics and Management, Southwest Jiaotong University, Chengdu, Sichuan 610031, China. Tel.: +86 28 87600822; Fax: +86 28 87634343; E-mail: [email protected].
Abstract: The multiple attribute group decision making (MAGDM) problem, in which both the attribute weights and the expert weights are correlated and the attribute values take the form of interval grey linguistic (IGL) variables, is investigated in this paper. First, based on the relative concepts of IGL variables and the operation rules between IGL variables, two new aggregation operators are developed, which are the interval grey linguistic correlated ordered geometric (IGLCOG) operator and the induced interval grey linguistic correlated ordered geometric (I-IGLCOG) operator. Then, some desirable properties of the I-IGLCOG operator are studied, such as commutativity, idempotency, monotonicity and boundedness. Next, the IGLCOG and I-IGLCOG operator-based approaches are developed to solve the abovementioned MAGDM problem. Finally, an illustrative examples are given to verify the developed approach and demonstrate its practicality and effectiveness.
Keywords: Multiple attribute group decision making, interval grey linguistic variables, interval grey linguistic correlated ordered geometric operator, induced interval grey linguistic correlated
ordered geometric operator
