L-fuzzy格及(λ,μ)-fuzzy凸子格

L-fuzzy lattice and(λ,μ)-fuzzy convex sublattice

基于一般格上模糊(对偶)理想、模糊素理想和凸子格的一些性质,讨论了L-fuzzy格的一些基本性质,并给出了(λ,μ)-fuzzy子格,(λ,μ)-fuzzy理想(对偶理想)和(λ,μ)f-uzzy凸子格概念,建立了(λ,μ)-fuzzy凸子格与其水平子格之间的联系.

Based on the characterizations of fuzzy （dual） ideal and fuzzy prime ideal and convex sublattice in crisp lattice, some basic properties of L-fuzzy lattice are discussed,and the concepts （λ,μ）-fuzzy sublattice, （λ,μ）-fuzzy ideal（ dual ideal） and （λ,μ）-fuzzy convex sublattice are introduced. And the relationship between （λ,μ）-fuzzy convex sublattice and level sublattice is built.