| Pre—Separation Axioms in Fuzzifying Topology |
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| 引用本文： | K.M.AbdEl－Hakeim F.M.Zeyada. Pre—Separation Axioms in Fuzzifying Topology[J]. 模糊系统与数学, 2003, 17(1): 28-36 |
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| 作者姓名： | K.M.AbdEl－Hakeim F.M.Zeyada |
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| 作者单位： | K.M.Abd El-Hakeim（Department of Mathematics,Facultyof Science,Assiut University,Assiut 71516,Egypt） F.M.Zeyada（Department of Mathematics,Faculty of Science,AssiutUniversity,Assiut 71516,Egypt） O.R.Sayed（Department of Mathematics,Faculty of Science,AssiutUniversity,Assiut 71516,Egypt） |
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| 摘 要： | 1 IntroductionYing[5,6 ] introduced and elementally developed so called fuzzifying topology with the semanticmethod of continuous valued L ogic.Shen[7] introduced and studied T0 -,T1-,T2 (Hausdorff) -,T3(regularity) -,T4 (normality) -separation axioms in fuzzifying topology.In [3 ]the concepts of thefamily of fuzzifying pre-open sets,fuzzifying pre-neighbourhood structure of a point and fuzzifyingpre-closure are introduced and studied.It is worth to mention that pre-separation axioms are …
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| 关 键 词： | 模糊逻辑 模糊拓扑 模糊准开集 模糊分离公理 |
Pre-Separation Axioms in Fuzzifying Topology |
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| K.M.Abd El-Hakeim,F.M.Zeyada,O.R.Sayed. Pre-Separation Axioms in Fuzzifying Topology[J]. Fuzzy Systems and Mathematics, 2003, 17(1): 28-36 |
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| Authors: | K.M.Abd El-Hakeim F.M.Zeyada O.R.Sayed |
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| Affiliation: | Department of Mathematics,Faculty of Science,Assiut University,Assiut 71516,Egypt |
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| Abstract: | In the present paper we introduce and study pre-To-,pre-R0-,pre-R1-,pre-T2(pre-Hausdorff)-,pre-T3(pre-regularity)-,pre-T4(pre-normality)-,pre-strong T3-and pre-strong T4-separation axioms in fuzifying topology and give some of their characterisations as well as the relations of these axioms and other separation axioms in fuzzifying topology introduced by Shen^[7]. |
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| Keywords: | Fuzzy Logic Fuzzifying Topology Fuzzifying Pre Open Sets Fuzzifying Separation Axioms |
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