基于相对优势度的区间数排序及其在多属性决策中的应用

Method for Ranking Interval Numbers Based on Relative Superiority and Its Application to Multiple Attribute Decision Making

依据两区间数对应点的差异,借助s型函数给出区间数相对优势度的概念,并根据相对优势度矩阵,构造模糊互补判断矩阵,提出一种基于相对优势度的区间数排序方法。基于所提出的区间数排序方法,结合UWA算子,提出一种属性值为区间数的多属性决策方法,并通过算例说明方法的可行性和有效性。

Firstly, under the differences of two interval numbers corresponding points, the paper gives the definition of relative superiority of interval numbers based on s function. In the following stage, the paper constructs fuzzy complementary judgment matrix according to relative superiority matrix and presents a ranking method of interval numbers based on relative superiority. Combined with UWA operator, the paper proposes a multiple attribute decision making in which attribute values are interval numbers. Finally, an illustrative example is given to demonstrate this method and to prove its validity and practicality.