一种新的模糊数排序方法及其应用研究

Research on a new priority method for fuzzy numbers and its application

文章提出了一种新的模糊数距离公式。在TOPSIS方法的基础上,给出正、负理想轴的概念和模糊数排序的一种新方法,该方法的思想是:模糊数的隶属函数离负理想轴越远越好,离正理想轴越近越好,并通过面积来表示这种远离或接近程度,同时考虑到了模糊数本身的影响;通过其在不确定多属性决策中的应用,来说明新排序方法的有效性和实用性。

This paper proposes a new distance formula of fuzzy numbers. On the basis of the TOPSIS method, the concepts of the positive and negative ideal axes are given. A new priority method for the fuzzy numbers is offered. The thought of this method is that the fuzzy number is better when its membership function is farther from the negative ideal axis and closer to the positive ideal axis. And the area is used to expresses the faraway or close degree, and simultaneously the influence of the fuzzy number itself is also considered. Application of the method in the uncertainty multiattribute decision making shows its validity and usability.