模糊实直线的水平空间

Level spaces of fuzzy-real line

对最简单的非平凡F格L={0,0 5,1},通过建立L-模糊实直线(R(L),δ)的承载R(L)与平面R2的子集XL={(r,s)|r≤s,r,s∈R}之间的序同构,研究了(R(L),δ)的所有水平空间和底空间的各种拓扑性质.

For L={0,0.5,1},the simplest nontrivial fuzzy lattice,a lot of topological properties of all level spaces and underlying space of the fuzzy real line (R(L),δ) has been discussed by establishing an order-isomorphism between (R(L),δ) and the subset X_L={(r,s)|r≤s,r,s∈R} of R^2.