一类L-Fuzzy拓扑空间——1.L-Fuzzy点的邻近构造

A Class of L-Fuzzy Topological Spaces——Ⅰ. Neighborhood Structure of a L-Fuzzy Point

中文摘要:

      

英文摘要:

      Suppose (L₀,≤) is a poset (i.e. partially ordered set) with an order reversing involution λ→λ′ and has an all element 1. Let L={b|b is a subset of L₀ and satisfies the condition: if λ∈b,μ≤λ then μ∈b} then (L,?,∩,∪) is a complete and distributive lattice. L is called the lattice induced from poset L₀. There is a mapping α→a′={λ∈L₀|λ′(?)a} of a lattice L onto L. The mapping is clearly order reversing involution.