基于可能度的区间直觉模糊数排序方法及其在决策中的应用

根据区间直觉模糊数的隶属度与非隶属度的代数和与差，定义一种用区间数表达的得分函数和精确函数, 并利用本文定义的得分函数和精确函数给出区间直觉模糊数大小的可能度，然后基于可能度提出区间直觉模糊数的一种新的排序方法。最后，基于这种新的排序，给出了区间直觉模糊信息环境下的多属性决策方法，并用数值算例说明该方法的可行性和有效性。  

A Sorting Method of Interval Intuitionistic Fuzzy Numbers of Based on Possibility Degree and Its Application in Decision Making

The sequence of interval intuitionistic fuzzy number is the premise of the multiple attribute decision making problems under interval intuitionistic fuzzy information environment .This paper defines the score function and accuracy function which are ex -pressed by interval numbers according to the degrees of membership and nonmembership of interval intuitionistic fuzzy number which are interval numbers algebraic sum and difference .And then based on the score function and accuracy function defined in this paper , the possibility degree of the size of interval intuitionistic fuzzy number is given .Then based on possibility degree , a new sorting method of interval intuitionistic fuzzy numbers is put forward .At last, based on the new sorting , this paper gives a new multiple attribute deci-sion making method under the interval intuitionistic fuzzy information environment , and numerical example is used to illustrate the fea-sibility and effectiveness of this method .