Regularity and normality of (L,M)-Fuzzy topological spaces

Fu-Gui Shi

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Regularity and normality of (L,M)-Fuzzy topological spaces

机译：（L，M）-模糊拓扑空间的正则和正则性

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摘要

In this paper, regularity and normality axioms are introduced in (L,M)-fuzzy topological spaces where L and M are completely distributive lattices with order-reversing involution. Each (L,M)-fuzzy topological space can be regarded to be regular and normal to some degree. The relations among the four separation axioms are investigated. They are equivalent to each other in an (L,M)-fuzzy metric space.

机译：本文在（L，M）-模糊拓扑空间中引入正则和正则公理，其中L和M是完全具有阶逆向对合的分布格。每个（L，M）模糊的拓扑空间都可以认为是规则的并且在一定程度上是法线的。研究了四个分离公理之间的关系。它们在（L，M）模糊度量空间中彼此等效。

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来源
《Fuzzy sets and systems》 |2011年第1期|p.37-52|共16页
作者
Fu-Gui Shi;
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作者单位

Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
lattice-valued topology; separation axioms; regularity; normality; metric spaces;

机译：格值拓扑;分离公理规律性常态;度量空间;

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1. Fuzzy Minimal Structures, Fuzzy m -regularity, Fuzzy m -normality and Fuzzy Bitopological Spaces [J] . Anjan Mukherjee The Journal of fuzzy mathematics . 2010,第4期

机译：模糊最小结构，模糊m正则性，模糊m正态性和模糊双拓扑空间
2. Normality of double fuzzy topological spaces [J] . Ghareeb A. Applied mathematics letters . 2011,第4期

机译：双模糊拓扑空间的正态性
3. Normality of fuzzy topological spaces in Kubiak-v{S}ostak's sense [J] . M. Azab Abd-Allah Bulletin of the Korean Mathematical Society . 2011,第1期

机译：Kubiak-v {S} ostak感的模糊拓扑空间的常态性
4. ON ALMOST REGULARITY AND π-NORMALITY OF TOPOLOGICAL SPACES [C] . Sadeq Ali Saad Thabit, Hailiza Kamarulhaili International Conference on Research and Education in Mathematics . 2012

机译：关于拓扑空间的几乎规律和π-常态
5. Regularity and compactness in fuzzy convergence spaces [D] . Minkler, Gary Richard 1998

机译：模糊收敛空间的正则性和紧致性
6. Weak forms of continuity in I-double gradation fuzzy topological spaces [O] . A Ghareeb -1

机译：I-双灰度模糊拓扑空间中的弱连续性形式
7. Normality of double fuzzy topological spaces [O] . Ghareeb A. 2011

机译：双模糊拓扑空间的正态性

Regularity and normality of (L,M)-Fuzzy topological spaces

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