一类不完全信息的多属性决策的方案支配优化模型

An Optimization Model for Establishing Dominance Between Alternatives with Incomplete Information in Multiple Attribute Decision Making

研究了一类不完全信息的多属性决策问题,建立了方案支配关系的优化模型.给出了属性权重集合的极点的两种求法,提供了求解模型的算法.所提供的算法只需要简单的矩阵运算,从而降低了计算时间,并且用数值例子来描述该算法.

This paper investigates a type of incomplete information of multiple attribute decision making, and constructs an optimization model for establishing dominance between alternatives. Two methods are presented for obtaining the extreme points of the set of attribute weights, then an algorithm of solving the model is proposed. With the algorithm, the dominance relations between alternatives can be checked by simple matrix operations, thus reducing computional time. An numerical example is given to illustrating the algorithm.