基于Vague软集的TOPSIS方法及其应用研究

Theory and application study on modified TOPSIS method based on Vague soft set

运用传统的TOPSIS方法进行不确定型决策时存在一定的困难,而Vague软集是一种处理不确定信息的重要工具。为此,给出了一种加权的Vague软集间相似度计算方法并加以证明,在对传统的TOPSIS方法进行修正的基础上,将Vague软集理论应用于TOPSIS方法中,将修正后的TOPSIS方法应用于仓储中心选址问题中,结果表明,Vague软集能极大地提高TOPSIS方法在不确定型决策领域中的应用价值。

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 uncer-tain 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.