$L$-Fuzzy拓扑空间中的可数紧性度和Lindel\"{o}f性质度

In this paper,the concept of countable compactness degree and the concept of Lindelf property degree are defined in L-fuzzy topological spaces by means of implication operator →.Many properties of them are discussed.     

Spectrum of L-fuzzy Prime Ideals of a Distributive Lattice

A topological space denoted by Fspec(D),called L-fuzzy prime spectrum of a bounded distributive lattice D is introduced.This space Fspec(D) is compact and it contains a subspace homeomorphic with the prime spectrum of D which is dense in it.The correspondence associating D to the topological space Fspec(D) is shown to define a contravarient functor from the category of bounded distributive lattices into the category of compact topological spaces.     

Implementation of a multi-scroll novel two-attractor grid chaotic system

This paper proposed a method of generating two attractors in a novel grid multi-scroll chaotic system. Based on a newly generated three-dimensional system, a two-attractor grid multi-scroll attractor system can be generated by adding two triangular waves and a sign function. Some basic dynamical properties, such as equilibrium points, bifurcations, and phase diagrams, were studied. Furthermore, the system was experimentally confirmed by an electronic circuit. The circuit simulation results and numerical simulation results verified the feasibility of this method.     

Misfit-layered compound PbTiS3 with incommensurate modulation： Transmission electron microscopy analysis and transport properties

The microstructural characteristic of the misfit-layered compound PbTiS3 has been studied with transmission electron microscopy. All the incommensurate modulation-induced satellite spots and main diffraction spots of basic sublattices can be indexed systematically with a superspace group method. Finally, the relationship between the electronic transport properties and the crystal structure is discussed.     

光滑l-Fuzzy拓扑空间的闭包算子

本文的目的是在光滑L—fuzzy拓扑空间上给出闭包算子的概念，利用集合套的方法给出它的一些等价刻画，并讨论它的性质及其应用．     

L-fuzzy保序算子空间的ωθ-收敛理论

研究L-fuzzy保序算子空间的ωθ-收敛理论问题。在L-fuzzy保序算子空间中引入分子网和理想的ωθ-极限点和ωθ-聚点等概念,系统讨论了这些概念的特征性质以及它们之间的关系。同时,利用分子网和理想的ωθ-收敛性概念,证明了序同态的(ω1,ω2)θ-连续性的若干充分必要条件。     

相对凸子格的一类相对理想与相对滤子

文中给出了相对凸子格的一类相对理想、相对滤子以及相对最小理想的具体表达式,证明了相对凸子格可表示为相对理想与相对滤子的交,讨论了相对理想成为相对素理想的充要条件,阐述了格的素理想与相对凸子格的相对素理想的关系。     

L-fuzzy子域与L-fuzzy线性空间的新刻画

本文研究了L-fuzzy子域与L-fuzzy线性空间的性质.借助于Fuzzy集A的水平截集A(a),得到了若干新的等价刻画.且直接和方便于应用.     

L-fuzzy N-收敛空间

本文给出L-fuzzy N-收敛空间的定义,讨论L-fuzzy N-收敛空间范畴(L-fuzzyN-收敛空间和它们之间的连续映射构成的范畴)的若干范畴的性质,并且证明它的一个子范畴同构与L-fuzzy拓扑空间范畴.