L-fuzzy Set Of Cut Sets And Convex Fuzzy Subset Of The Study

In this paper,L is a F lattice. At first, the concepts of three new kinds of cut sets of L-fuzzy set based on the concepts of minimal set and maximal set are introduced and the properties about these cut sets are studied. By the use of the relations between fuzzy points and fuzzy sets, some new definitions of a convex fuzzy subset are introduced. Further, (λ,μ)-convex fuzzy subset and (λ,μ,T,S)-convex fuzzy subset are given and the properties of these convex fuzzy subsets above are studied. At last,definitions of convex subsets based on t-norm are introduced,Tm-convex fuzzy subsets generated by convex subsets and Tm-convex fuzzy subsets generated by functions are studied.