取大取小算法问题讨论

A Discussion of Algorithm on Max-Min Algorithm

取大取小算法是模糊数学中的一个重要的方法之一 ,在工程应用中得到了广泛的应用。但有人提出了“在模糊综合评判时 ,取大取小算法是一个错误算法”的论点。本文首先通过对模糊综合评判的评价函数所作的理论分析并辅以实例说明了取大取小算法是模糊综合评判的一个可取的算法 ,作者还从广义合成运算的模糊综合评判的角度 ,论述了取大取小算法的正确性 ,与上述论点进行商榷。同时作者也对取大取小算法在某些情况下出现失效的现象进行了讨论 ,并提出了改进的措施。作者认为不能因取大取小算法在特定情形下的失效就全盘否定其理论上的正确性和工程上的可用性。

Max min algorithm on fuzzy synthetic evaluation is discussed. Liu considers that the wide used max min algorithm on fuzzy synthetic evaluation is a wrong algorithm. The paper shows that the Liu′s conclusion is not true. Firstly, the max min algorithm satisfies the needs of a operator as fuzzy synthetic evaluation. Secondly, the wide used examples show that the uses of max min algorithm. Finally, the max min algorithm is base one of the algorithms which be used in fuzzy synthetic evaluation. So as fuzzy synthetic evaluation method, the max min algorithm not only has mathematical basis but also has practical use. But in some case the max min algorithm will be ceased to be effective, so it also has shortcomings and needs to be improved. The improved max min algorithm is given at last.