【作者】 张华丽； 焦哲； 李文毅； 李晓奇；

【机构】 东北大学秦皇岛分校信息与计算科学系；

【摘要】 本文提出了模糊判断矩阵的一致性调整新方法.具有强的可行性,为决策者提供了理论参考.根据线性赋范空间中最佳逼近元的概念,并考虑到矩阵逼近的整体特性,在F范数下定义了最佳一致矩阵,并通过多元极值理论和高等代数方法求得最佳一致矩阵的所有元素.最后做出了一个算例,并用Matlab编程实现.更多还原

【Abstract】 This paper presents a new approach to adjusting fuzzy matrix for uniformity.It has a strong feasibility,and can provide a theoretical reference for decision-makers.According to the concept of best approximation element in the Linear Normed Space, we take the overall characteristic matrix approximation into account,then define the optimal and uniform matrix in the norm of F,and seek all the elements on the optimal and uniform matrix through multi -extreme value theory and high algebraic method. Finally we make an example,and implement the algorithm by programming with Matlab.更多还原