浅析模糊AHP中一致性检验的不必要性  

Analysis on the Unnecessity of Consistency Check in Fuzzy AHP

作　　者：刘开第[1] 庞彦军[1] 金斓[1] 

机构地区：[1]河北工程大学不确定信息研究所,河北邯郸056038

出　　处：《数学的实践与认识》2015年第14期285-293,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61375002;61375003)

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.

关 键 词：层次分析法 模糊AHP 模糊互补矩阵 可加性 一致性检验 

分 类 号：O151.21[理学—数学]