L-Fuzzy邻近空间的收敛理论

CONVERGENCE IN L-FUZZY PROXIMITY SPACES

本文引入L-Fuzzy邻近空间中的L-Fuzzy邻近收敛概念,给出它的一个刻划,并建立了它与分明拓扑中邻近收敛的相互关系,从而是"好的推广".我们也讨论了L-Fuzzy邻近收敛的基本性质,证明了那些在分明拓扑中成立的相应结果.

In this paper, we give the concept of L-fuzzy proximal convergence in L-fuzzy proximity spaces, and get its an alternate description. We establish the relations between L-fuzzy proximity convergence and ordinary proximal convergence, therefore, it is 'good extension'. Also, we disscus the basic properties of L-fuzzy proximal convergence, and prove some results which hold for ordinary proximity spaces.