关键词: 逼近于理想值的排序方法（TOPSIS）, Vague软集, 相似度, 不确定型决策

Abstract: There exist some difficulties if the traditional TOPSIS（Technique for Order Preference by Similarity to Ideal Solution）is used for uncertain decision-making problem, and the Vague soft set is an important tool of processing uncertain information. For this reason, a weighted resemblance degree of the Vague soft set is defined and proved in the paper, then the paper modifies the traditional TOPSIS by applying the Vague soft set theory. The modified TOPSIS method is used for the decision of warehousing center location problem , and the data of the results indicate that the Vague soft set theory can greatly improve the application value of the TOPSIS method in uncertain decision-making problem.

Key words: Technique for Order Preference by Similarity to Ideal Solution（TOPSIS）, Vague soft set, resemblance degree, uncertain decision-making