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直觉L-模糊拓扑空间的q-连通性及连通分支

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在直觉L-模糊拓扑空间中引入 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 and connectedness component in intuitionistic L-fuzzy topological
q-connectedness,strong connectedness,and weak connectedness are introduced in intuitionistic L-fuzzy topol-ogical 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.

intuitionistic L-fuzzy topological spaceq-connectednessq-connectedness componentstrong connectedness

高佳欣、王小霞、李乔乔

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延安大学数学与计算机科学学院,陕西 延安 716000

直觉L-模糊拓扑空间 q-连通性 q-连通分支 强连通

2024

内江师范学院学报
内江师范学院

内江师范学院学报

影响因子:0.299
ISSN:1671-1785
年,卷(期):2024.39(12)