Interval Multiple Attribute Decision Making Based on the Improved Technique for Order Preference by Similarity to Ideal Solution

1、School of Economics and Management, Southwest Jiaotong University

2、Deaprtment of Mathematics, North Sichuan Medical College

Abstract：With respect to the problem of multiple attribute decision-making with completely unknown information on attribute weights to which the attribute values are given in terms of interval numbers, an improved technique for order preference by similarity to ideal solution (TOPSIS) method is proposed. In this paper, firstly, the problem of multiple attribute decision-making with completely unknown information on attribute weights to which the attribute values are given in terms of interval numbers is introduced. Then, based on the traditional TOPSIS method of multiple attribute decision-making with interval numbers, the calculation steps to solve it are given. As the key step, the attribute weights are calculated by optimization model and mathematics inferring. So it weakened subjective factors and changed subjective endowed weights into objective endowed weights with the information of interval decision matrix. And the comprehensive weighted distances are calculated between every alternative and positive ideal alternative. Then, according to the comprehensive weighted distances, all alternatives are ranked. At last, a numerical example is provided to illustrate the proposed method. The result shows the approach is simple and more practical than original technique.