方案有不确定偏好的区间数相对熵群决策方法

Abstract

Abstract: The problem of multiple attribute group decision making with interval numbers and preference information on alternatives is studied in this paper. Firstly,he relative entropy matrix for the deviation between objective preference and subjective preference value on each alternative is obtained. Then a mathematical model based on the relative entropy of objective and preference information on alternatives is constructed to obtain the attribute weights. Furthermore,a new probability degree formula for the comparison between two interval numbers is presented. Based on the formula, a method for ranking alternatives is given. Finally, a numerical example is given to verify the proposed method and to demonstrate its feasibility.

Key words: group decision-making, interval number, relative entropy, probability degree

CLC Number:

C934

LIU Xiao-di, ZHU Jian-jun, LIU Si-feng. Group Decision-Making Method with Uncertain Preference Information on Alternatives by Interval Number Relative Entropy[J]. Chinese Journal of Management Science, 2014, 22(6): 134-140.

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Group Decision-Making Method with Uncertain Preference Information on Alternatives by Interval Number Relative Entropy

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