三角直觉模糊数型VIKOR方法

针对备选方案的属性值为三角直觉模糊数且权重为实数的多属性决策问题,研究了三角直觉模糊数型VIKOR方法。首先,本文提出了一种基于偏好指标的三角直觉模糊数排序方法;其次,根据VIKOR方法的基本思想,提出了求解三角直觉模糊数型VIKOR方法的步骤,并在可接受优势和决策过程的稳定条件下对备选方案进行排序,得到折衷解;最后,在最大群体效用权重为0.5的情况下,用第三方物流服务商选择为例说明了该方法的有效性和可行性。

VIKOR Method with Triangular Intuitionistic Fuzzy Numbers

The aim of this paper is to extend VIKOR method which is a compromise ranking approach for multiple attribute decision making (MADM) problems for intuitionistic fuzzy multi-attributes analysis. VIKOR method with triangular intuitionistic fuzzy numbers is researched for solving MADM problems in which the ratings of alternatives are expressed with triangular intuitionistic fuzzy numbers and the weights are real numbers. Firstly, a ranking method for triangular intuitionistic fuzzy numbers is proposed based on preference index. Secondly, according to the basic idea of VIKOR method, the steps of VIKOR method with triangular intuitionistic fuzzy numbers are given, and then the compromise solution is obtained under the condition of acceptable advantage and acceptable stability in decision making. Finally, the third party logistics providers selection example verifies the effectiveness and feasibility of the proposed method when the weight of maximum group utility equals 0.5.