摘要
基于已知常用的模糊矩阵传递性概念定义了λ型传递.给出它的几个等价条件.研究它的图论特征,指出λ型传递矩阵的圈都过强对边二元圈.随后证明了与全传递模糊矩阵的等价性.进一步研究与截矩阵的性质一致问题,证明了λ型传递满足一致性.最后给出λ型传递在模糊排序中的应用,表明它是一种新的实用的多因素模糊决策的数学模型.
A kind of transitive matrices is defined based on several concepts used commonly for transitivity of fuzzy matrices,and called λ\|form transitivity matrices.Its equivalent conditions and the characters of graph theory are researched,especially it is proved that it is equivalent with fully transitive matrices.Besides,the property consistency between λ transitive matrices and their cut matrices are studied,and a new example of the consistent property is obtained.At last,the usage of λ\|form transitive matrix as a model of ordering fuzzy quantities is discussed.It is revealed that λ\|form transitive matrix is a new type of useful mathematical model for multifactor decision making.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2003年第1期70-76,共7页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(69974006)
关键词
模糊矩阵
传递性
全传递矩阵
模糊排序
模糊决策
fuzzy matrix
fully transitive matrix
transitivity
fuzzy decision\|making
