基于距离测度的模糊数排序

Ranking fuzzy numbers based on a distance measure

针对Tran和Duckstein给出的区间数之间及模糊数之间的距离公式的不足 ,给出其纠正性定义 .进而 ,引入一种新的模糊数排序函数 .最后 ,给出算例说明其有效性及优越性 .

In order to overcome the shortcoming of the distances between interval numbers and between fuzzy numbers introduced by Tran and Duckstein,new definitions of distances are given. Moreover,a function for ranking fuzzy numbers is proposed. Finally,several numerical examples illustrate the effectiveness and advantage of the method introduced.