摘要
模糊拟阵是将“模糊”概念引入拟阵理论而开创的一种新的模糊系统。根据GoetschelR·J和VoxmanW提出的模糊对偶拟阵的定义 ,进一步研究了模糊对偶拟阵的性质 ,给出了闭正则模糊拟阵的对偶拟阵的秩函数公式和模糊拟阵及其对偶之间一些本质联系。在此基础上提出了模糊超平面的概念 ,并着重描述了模糊超平面的一系列特征 ,从 3个方面给出了模糊超平面的充分必要条件。最后 ,作为模糊超平面的应用 ,指出模糊闭集可由有限个模糊超平面来表示。
Fuzzy matroid is a new fuzzy system originated with the introduction of notion `fuzzy' into the theory of matroid. Some characteristics of fuzzy dual matroids are discussed according to the concept of fuzzy dual matroid given by Goetschel R.J and Voxman W., and then the notion of fuzzy hyperplanes is defined and some of the basic properties of them are investigated. Among these properties three necessary and sufficient conditions are provided from different aspects. Application of fuzzy hyperplanes is provided:fuzzy cloed sets always can be stated by the finite fuzzy hyperplanes.
出处
《重庆大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2002年第4期116-119,共4页
Journal of Chongqing University
关键词
拟阵
模拟拟阵
模糊对偶拟阵
模糊超平面
matroids
fuzzy matroids
fuzzy dual matroids
fuzzy hyperplanes
