Relative Partition Separation And Relative Partition Compactness In L-fuzzy Bi-topological Spaces

Based on the relative separation and relative compactness in L-fuzzy topological space,A series of results of relative partition separation and relative partition compactness are studied in L-fuzzy Bi-topological space,The main contents of the thesis are as foll-ows:Firstly,It is an introduction,which introduces the development status,background significance and framework of the research in L-fuzzy Bi-topological space.and the preliminary knowledge of the relative topology is given in the L-fuzzy Bi-topological space,then the prime concepts and properties are elaborated.Then,the definition and properties of the relative matching separation and the relative strong matching separation Ti(i<=4)are studied in L-fuzzy Bi-topological spaces.Firstly,the definitions of relative matching axioms T-1,T0,sub-T0,T1,T2,regular,T3,T4,normal are given.Secondly,the relationship between each separation is discussed.Finally,we study their properties respectively from the perspective of topological invariance,Multiplicability,transitivity and heredity.Finally,the relative compactness in L-fuzzy Bi-topological space is studied,and the relative pairwise compactness and the relative coparacompactness in L-fuzzy Bi-topo-gical space are given,and the properties of each compactness are proved.