一种基于多指标的模糊数排序方法

An Approach for Fuzzy Number Ranking Based on Multi-index

根据模糊数正向流指标和负向流指标分别定义正向效用函数和负向效用函数,然后综合正、负向效用函数的特点,提出一种基于多指标排序模糊数的方法,并通过算例来验证其有效性.该方法所得排序结果合理,与部分已知的方法所得结论一致,能较好地依据决策者的偏好排序模糊数.

Based on the characteristic of the local and global information indexes of fuzzy number, we divide the indexes of fuzzy number into positive flow index and negative flow index. Then, we define the positive utility function and negative utility function according to the given positive flow index and negative flow index, and then an approach for fuzzy number ranking based on multi-index is proposed by the defined positive flow index and negative flow index. Finally ,some numerical examples are used to illustrate the validity and advantage of the proposed ranking method.