实直线R上的fuzzy代数与fuzzy拓扑(I)

The Fuzzy Algebra and Fuzzy Topology on Real Line R (Ⅰ)

讨论了实直线Ｒ上的ｆｕｚｚｙ集，ｆｕｚｙ点，ｆｕｚｙ对偶点，承载算子ｓｕｐｐ及其对偶ｓｕｐｐ＊，λ－承载算子ｓｕｐｐλ，谱算子∧及其逆算子∧－１，以及ｆｕｚｚｙ余拓扑构造Ψ的谱Ω，ｆｕｚｙ余拓扑η的谱表示η∧，得到若干结果，为进一步研究Ｒ上的ｆｕｚｚｙ代数与ｆｕｚｚｙ拓扑做好了准备．

In this paper,some signification and interesting topic and objects are discussed such as fuzzy sets,fuzzy points,fuzzy dual points,support operator supp,dual support operator supp *,λ support operator supp λ,spectral operator∧ and its inverse operator ∧ -1 ,the spectrum Ω of topological structure Ψ,the spectral representation η∧ of a fuzzy cotopology η,etc.,some useful results are obtained.