马田系统的区间Choquet模糊积分的评价方法在制造业质量管理方面的应用
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摘要
通过将区间样本的统计量引入马田系统的计算中,拓宽了马田系统在模糊积分领域中的应用,将传统的马田系统与区间样本数据进行结合形成新型的区间型马田系统,并以此为基础应用一种区间型的模糊数据的计算方法,便于对区间属性值的集成,对区间Choquet的模糊积分算子进行定义。并且通过对制造企业的质量管理方面实际的案例证明该方法对于区间数据的模糊积分的多属性的决策问题的解决具有非常有效的作用,同时演奏了该方法的实用性和可行性。
The statistics of interval samples are introduced into the calculation of Martian system, which widens the application of Martian system to the field of fuzzy integral. Therefore, this paper combines the traditional mulberry field system with the interval sample data to form a new interval type mulberry field system, and on this basis, applies an interval fuzzy data calculation method to facilitate the integration of the interval attribute value. The fuzzy integral operator of interval Choquet is defined, and it is proved that this method is very effective in solving the multi-attribute decision problem of fuzzy integral of interval data through the actual case of quality management in manufacturing enterprises. At the same time, the practicability and feasibility of the method are proved.
The statistics of interval samples are introduced into the calculation of Martian system, which widens the application of Martian system to the field of fuzzy integral. Therefore, this paper combines the traditional mulberry field system with the interval sample data to form a new interval type mulberry field system, and on this basis, applies an interval fuzzy data calculation method to facilitate the integration of the interval attribute value. The fuzzy integral operator of interval Choquet is defined, and it is proved that this method is very effective in solving the multi-attribute decision problem of fuzzy integral of interval data through the actual case of quality management in manufacturing enterprises. At the same time, the practicability and feasibility of the method are proved.
引文
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[9]Sugeno M.Fuzzy measure and fuzzy integrals,a survey,fuzzy automata and decision processes[M].New York:North-Holland,1977:89-102.
[2]常志朋,程龙生.基于马田系统和?转换的模糊积分多属性决策方法[J].系统工程与电子技术,2013,35(8):1702-1710.
[3]Tukamoto Y.A measure theoretic approach to evaluation of fuzzy set defined on probability space[J].J of Fuzzy Mathematics,1982,2(3):89-98.
[4]常志朋,程龙生,崔立志.基于马田系统的区间Choquet模糊积分多属性决策方法[J].控制与决策,2016,31(1):180-186.
[5]王万中.试验的设计与分析[M].北京:高等教育出版社,2004:192-194.
[6]陈魁.试验设计与分析[M].北京:清华大学出版社,1996:203-208.
[7]Francisco A T,Renata S,Maric C,et al.Adaptive Hausdorff distances and dynamic clustering of symbolic interval data[J].Pattern Recognition Letters,2006,27(3):167-179.
[8]徐泽水,孙在东.一类不确定型多属性决策问题的排序方法[J].管理科学学报,2002,5(3):35-39.
[9]Sugeno M.Fuzzy measure and fuzzy integrals,a survey,fuzzy automata and decision processes[M].New York:North-Holland,1977:89-102.