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

作　　者：王中兴[1] 邵翠丽[1] 唐芝兰[1] 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004

出　　处：《模糊系统与数学》2013年第2期142-148,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(10761001);广西自然科学基金资助项目(0991029)

摘　　要：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.

关 键 词：区间数 相对优势度 排序 多属性决策 

分 类 号：O159[理学—数学]