Fuzzifying拓扑中的θ-半分离定理
θ-Semiseparation Axioms in Fuzzifying Topology
摘要: 本文首先引入不分明化拓扑空间中T0Sθ,T1Sθ,T2Sθ,RSθ,N1Sθ,ROSθ,R1Sθ分离公理的定义，再利用Fuzzifying拓扑空间理论和连续值逻辑语义方法进行研究，得到不分明化θ-半分离相关定理。
Abstract: We introduce the definitions of T0Sθ,T1Sθ,T2Sθ,RSθ,N1Sθ,ROSθ,R1Sθ separation axioms in fuzzifying to-pology space, the fuzzy topological space theory and logical semantics of continuous values are used to prove main results, and fuzzifying θ-semiseparation axioms are obtained.
文章引用：贾文英, 王瑞英. Fuzzifying拓扑中的θ-半分离定理[J]. 理论数学, 2023, 13(8): 2284-2291. https://doi.org/10.12677/PM.2023.138235

参考文献

[1] Ying, M.S. (1991) A New Approach for Fuzzy Topology (I). Fuzzy Sets and Systems, 39, 303-321. [Google Scholar] [CrossRef] 
[2] Ying, M.S. (1992) A New Approach for Fuzzy Topology (II). Fuzzy Sets and Systems, 47, 221-232. [Google Scholar] [CrossRef] 
[3] Ying, M.S. (1993) A New Approach for Fuzzy Topology (III). Fuzzy Sets and Systems, 55, 193-207. [Google Scholar] [CrossRef] 
[4] 马瑞华, 王瑞英. 不分明化拓扑中的θ-分离性[J]. 内蒙古师范大学学报(自然科学汉文版), 2018, 47(5): 369-372.
[5] 张广济. 不分明化拓扑中的S-分离公理[J]. 辽宁师范大学学报(自然科学版), 2000(1): 29-31.
[6] Alkazragy, A., Mayah, F. and Al-Hachami, A.K.H. (2021) On Semi θ-‘Axioms. Journal of Physics: Conference Series, 1999, Article ID: 012096. [Google Scholar] [CrossRef] 
[7] Caldas, M., Ganster, M., Georgiou, D.N., et al. (2008) On θ-Semiopen Sets and Separation Axioms in Topological Spaces. Carpathian Journal of Mathematics, 24, 13-22.
[8] Abdul-Jabbar, A.M. (2012) Topological Property of θ-Semi-Open Sets. International Journal of Pure and Applied Sciences and Technology, 13, 7.
[9] 张广济. 不分明化拓扑中的半开集和半连续函数[J]. 大连大学学报, 1997(2): 152-157.
[10] Khedr, F.H. (1999) Fuzzy Semi-Continuity and Fuzzy Csemi-Continuity in Fuzzifying Topol-ogy. The Journal of Fuzzy Mathematics, 7, 105-124.

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