摘要
若一个模糊数互反判断矩阵满足目前一些文献的一致性定义,则这个矩阵一定是精确数互反判断矩阵。本文指出这一不合理之处,并重新给出了一个较为合理的定义。通过引入P-箅子和P-算子矩阵,给出了判定一个模糊数互反判断矩阵是否满足文中的一致性的定义,最后通过一个算例说明了此方法的可行性。
The shortcomings is pointed out in this paper that if one fuzzy reciprocal judgment matrix satisfies the consistency defined in some existing researches,then this matrix must be a precise reciprocal judgment matrix.Then,a novel consistency definition of fuzzy reciprocal judgment matrix is developed.Furthermore,by introducing the P-operator and the P-operator matrix,the method to determine whether a fuzzy reciprocal judgment matrix satisfies the consistency defined is proposed.Finally,a numerical example is given to illustrate the feasibility of the proposed method.
出处
《中国管理科学》
CSSCI
北大核心
2013年第S1期70-74,共5页
Chinese Journal of Management Science
基金
国家自然科学基金资助项目(70771010
71071018
70801064)
高等学校博士学科点专项科研基金资助(20111101110036)
关键词
模糊数
互反判断矩阵
一致性
P-算子
fuzzy number
reciprocal judgment matrices
consistency
p-operator
