(L,M)-fuzzy预拓扑空间的连通度

杨文华; 李生刚; 赵虎

doi:10.7540/j.ynu.20150054

杨文华, 李生刚, 赵虎. (L,M)-fuzzy预拓扑空间的连通度[J]. 云南大学学报(自然科学版), 2015, 37(6): 793-799. doi: 10.7540/j.ynu.20150054

引用本文:

杨文华, 李生刚, 赵虎. (L,M)-fuzzy预拓扑空间的连通度[J]. 云南大学学报(自然科学版), 2015, 37(6): 793-799. doi: 10.7540/j.ynu.20150054

YANG Wen-hua, LI Sheng-gang, ZHAO Hu. Connectedness degrees in(L,M)-fuzzy pre-topological spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2015, 37(6): 793-799. DOI: 10.7540/j.ynu.20150054

Citation:

YANG Wen-hua, LI Sheng-gang, ZHAO Hu. Connectedness degrees in(L,M)-fuzzy pre-topological spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2015, 37(6): 793-799. DOI: 10.7540/j.ynu.20150054

(L,M)-fuzzy预拓扑空间的连通度

Connectedness degrees in(L,M)-fuzzy pre-topological spaces

摘要

摘要: 在(L,M)-fuzzy预拓扑空间中,利用(L,M)-fuzzy预闭包算子定义了(L,M)-fuzzy隔离度及连通度,讨论其等价刻画,给出了(L,M)-fuzzy预拓扑空间中连通度的樊畿刻画.

Abstract: In(L, M)-fuzzy pre-topological spaces, the notion of separatedness degrees and connecteness degrees are introduced by means of (L, M)-fuzzy pre-closure operators, a equivalent condition of connecteness degrees is proved.Moreover, a characterization of connecteness degrees in (L, M)-fuzzy pre-topological spaces by the manner of K.Fan's theorem is obtained.

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