直觉L-模糊拓扑空间的q-连通性及连通分支  

q- Connectedness and connectedness component in intuitionisticL- fuzzy topological

作　　者：高佳欣 王小霞[1] 李乔乔 GAO Jiaxin;WANG Xiaoxia;LI Qiaoqiao(College of Mathematics and Computer Science,Yan’an University,Yan’an,Shaanxi 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《内江师范学院学报》2024年第12期22-26,38,共6页Journal of Neijiang Normal University

基　　金：国家自然科学地区基金项目(12261090);陕西省自然科学基础研究项目(2018JM1042)。

摘　　要：在直觉L-模糊拓扑空间中引入q-连通性、强连通、弱连通.首先,在直觉L-模糊拓扑空间中定义了q-连通性,给出其等价刻画,以及它与弱连通、强连通三者之间的关系;其次,给出q-连通分支的定义及其性质.该研究丰富了直觉L-模糊拓扑空间理论体系,为直觉L-模糊拓扑空间的相关理论研究提供了一定的参考价值.q-connectedness,strong connectedness,and weak connectedness are introduced in intuitionistic L-fuzzy topological spaces.Firstly,q-connectedness is defined in intuitionistic L-fuzzy topological spaces,and its equivalent characterizations are given,as well as its relationship with weak connectedness and strong connectedness;Secondly,the definition and properties of q-connectedness component are given.This study enriches the theoretical system of intuitionistic L-fuzzy topological spaces and provides certain reference value for the related theoretical research of intuitionistic L-fuzzy topological spaces.

关 键 词：直觉L-模糊拓扑空间 q-连通性 q-连通分支 强连通 

分 类 号：O189[理学—数学]