内江师范学院学报2024,Vol.39Issue(12) :22-26,38.DOI:10.13603/j.cnki.51-1621/z.2024.12.004

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 intuitionistic L-fuzzy topological

高佳欣 王小霞 李乔乔
内江师范学院学报2024,Vol.39Issue(12) :22-26,38.DOI:10.13603/j.cnki.51-1621/z.2024.12.004

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 intuitionistic L-fuzzy topological

高佳欣 1王小霞 1李乔乔1
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作者信息

  • 1. 延安大学数学与计算机科学学院,陕西 延安 716000
  • 折叠

摘要

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.

Abstract

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.

关键词

直觉L-模糊拓扑空间/q-连通性/q-连通分支/强连通

Key words

intuitionistic L-fuzzy topological space/q-connectedness/q-connectedness component/strong connectedness

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出版年

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
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