A method of multiple-attribute group decision making problem for 2-dimension uncertain linguistic variables based on cloud model

摘要

Numerous decision-making problems are expressed in the form of uncertain linguistic variables in real life. Expressing qualitative decision-making information in quantitative form can make the decision making process clearer and simpler. In this paper, we transform the 2-dimension uncertain linguistic variable into a cloud model which converses the qualitative information to the quantitative information and aims for solving the multiple attribute group decision making problems. Firstly, we convert 2-dimension uncertain linguistic variables to 2-dimension clouds. Then, we compare the importance between 2-dimension information and propose a method to transform the 2-dimension cloud model of uncertain linguistic variables into 1-dimension cloud model. Meanwhile, we aggregate 2-dimension uncertain experts' preferences and linguistic attributes variables on the basis of CCI operator. In addition, we determine the best alternative by comparing the distance between each alternative cloud and the ideal cloud. Finally, a comparable example is used to illustrate the advantage and feasibility of the proposed method. The cloud model can realize the mutual transformation between qualitative information and quantitative information, and integrate the 2-dimension uncertain linguistic variables by comparing the importance of the 2-dimension information, so as to make the decision-making process clearer.