基于熵测度的三参数区间数信息下的TOPSIS决策方法

TOPSIS Decision-Making Method with Three-Parameter Interval Number Based on Entropy Measure

研究基于三参数区间数的排序及决策模型,提出了基于三参数区间数的重心点、中点、长度的可能度排序方法;基于重心点发生可能性最大的三参数区间数分布特点,提出了距离测度公式;建立了基于三参数区间数熵测度的属性权重模型,在此基础上构建了依据TOPSIS思想的不确定性决策框架。算例说明了该方法的步骤和有效性。

Ordering method of three-parameter interval numbers and decision-making model are studied in this paper. Firstly, a new method of the possibility ranking based on gravity center, midpoint, and the length of three-parameter interval numbers is proposed. Then, the distance formula of three -parameter numbers is established according to the most likely appearing characteristic of gravity center. Further- more, a new attributes＇ weight model based on entropy measure of the three-parameter interval numbers is established. Based on the new distance formula and ordering method of three-parameter interval numbers,an uncertain decision making structure is introduced according to the TOPSIS. Finally, numeral example shows the practicality and effectiveness of the proposed method.