| Pre—Separation Axioms in Fuzzifying Topology |
| |
| 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. |
| |
| 作者姓名： | K.M.AbdEl－Hakeim F.M.Zeyada |
| |
| 作者单位： | K.M.Abd El-Hakeim（Department of Mathematics,Faculty
of Science,Assiut University,Assiut 71516,Egypt）
F.M.Zeyada（Department of Mathematics,Faculty of Science,Assiut
University,Assiut 71516,Egypt）
O.R.Sayed（Department of Mathematics,Faculty of Science,Assiut
University,Assiut 71516,Egypt） |
| |
| 摘 要： | 1 IntroductionYing5,6 ] introduced and elementally developed so called fuzzifying topology with the semanticmethod of continuous valued L ogic.Shen7] 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 …
|
| 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 |
| |
| 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. |
| |
| Authors: | KMAbd El-Hakeim FMZeyada ORSayed |
| |
| Institution: | Department of Mathematics,Faculty of Science,Assiut University,Assiut 71516,Egypt |
| |
| 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]. |
| |
| Keywords: | Fuzzy Logic Fuzzifying Topology Fuzzifying Pre Open Sets Fuzzifying Separation Axioms |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
