浅析模糊AHP中一致性检验的不必要性
|
摘要
模糊AHP用模糊互补矩阵替代AHP的比例标度判断矩阵的意义是,因标度的可加性使基于判断矩阵中数据的排序可行;但是定义模糊一致性矩阵对判断矩阵进行一致性检验是不必要的,调整含逆序的判断矩阵是不合理的.阐述模糊AHP一致性检验的不必要性;论证对含逆序判断矩阵进行调整的不合理性;建立基于评分标度判断矩阵中数据的排序方法,并且排序与判断矩阵具有怎样的一致性程度无关.
Fuzzy AHP replaces scale of judgment matrix with fuzzy complementary matrix,which makes sorting basing on data in judgment matrix feasible Because of the scale of the additivity.However,it is not unnecessary to perform consistency check on judgment matrix in order to define fuzzy consistent matrix,nor it is reasonable to adjust judgment matrix which contains inverted sequence.This paper presents it is unnecessary to perform Fuzzy AHP consistency check and it is unreasonable to adjust judgment matrix containing inverted sequence.Besides it builds sorting method basing on data in grading standard of judgment matrix and this sorting method is not relevant with the degree of consistency of judgment matrix.
Fuzzy AHP replaces scale of judgment matrix with fuzzy complementary matrix,which makes sorting basing on data in judgment matrix feasible Because of the scale of the additivity.However,it is not unnecessary to perform consistency check on judgment matrix in order to define fuzzy consistent matrix,nor it is reasonable to adjust judgment matrix which contains inverted sequence.This paper presents it is unnecessary to perform Fuzzy AHP consistency check and it is unreasonable to adjust judgment matrix containing inverted sequence.Besides it builds sorting method basing on data in grading standard of judgment matrix and this sorting method is not relevant with the degree of consistency of judgment matrix.
引文
[1]Saaty T L.The Analitic Hierarchy Process[M],Pittsbargh!University of Pitteburgh,1988.
[2]许树伯.层次分析法原理[M].天津:天津大学出版社,1989.
[3]王莲芬,许树伯编著.层次分析法引论[M].北京:中国人民大学出版社,1990.
[4]秦大力,张利,李青慧.基于FAHP的信息安全风险评估方法[J].计算机工程,2009,35(15):156-158.
[5]吕俊杰,王元卓.信息安全风险模糊群决策评估方法[J].计算机工程与应用,2010,46(12):17-20.
[6]吕跃进.基于模糊一致矩阵的模糊层次分析法的排序[J].模糊系统与数学,2002,16(2):80-85.
[7]王甲生,付钰,吴晓平.基于改进FAHP法的信息系统安全风险评估[J].火力与指挥控制,2011,36(4):33-36.
[8]张吉军.模糊一致判断矩阵三种排序方法的比较研究[J].系统工程与电子技术,2003,25(11):1370-1372.
[9]朱克毓,杨善林.关于Saaty对模糊逻辑不适用于AHP观点的评述[J].系统工程理论与实践,2014,31(1):197-205。
[2]许树伯.层次分析法原理[M].天津:天津大学出版社,1989.
[3]王莲芬,许树伯编著.层次分析法引论[M].北京:中国人民大学出版社,1990.
[4]秦大力,张利,李青慧.基于FAHP的信息安全风险评估方法[J].计算机工程,2009,35(15):156-158.
[5]吕俊杰,王元卓.信息安全风险模糊群决策评估方法[J].计算机工程与应用,2010,46(12):17-20.
[6]吕跃进.基于模糊一致矩阵的模糊层次分析法的排序[J].模糊系统与数学,2002,16(2):80-85.
[7]王甲生,付钰,吴晓平.基于改进FAHP法的信息系统安全风险评估[J].火力与指挥控制,2011,36(4):33-36.
[8]张吉军.模糊一致判断矩阵三种排序方法的比较研究[J].系统工程与电子技术,2003,25(11):1370-1372.
[9]朱克毓,杨善林.关于Saaty对模糊逻辑不适用于AHP观点的评述[J].系统工程理论与实践,2014,31(1):197-205。