基于I-TOPSIS的可比较语言多属性决策方法

A Multiple-attribute Decision Making Method Dealing with Comparative Linguistic Expressions Based on I-TOPSIS

针对属性值是可比较语言的多属性决策问题,提出了一种新的多属性决策方法——I-TOPSIS法;传统的TOPSIS方法的综合评价值只能反映各评价对象内部的相对接近度,为了体现各方案与理想的最优方案的接近程度,引进I-TOPSIS法,通过定义正负理想点找到最优的参照方案,根据备选方案与最优参照方案之间的距离对备选方案进行排序和择优;最后,通过实例分析说明了方法的有效性和合理性。

For the multiple-attribute decision making problem with attribute value expressed as comparative linguistic expression, a new multiple-attribute decision making method named improved TOPSIS method is advanced. The evaluation value of the traditional TOPSIS method only reflects the relative proximity of each evaluation object inside. In order to embody the degree of closeness to the ideal solution, I-TOPSIS method is developed by introducing the ranking index based on the concept that the chosen alternative should be as close as possible to the ideal solution. Finally, an example is given to illustrate the proposed method, in which the effectiveness and feasibility are guaranteed.