Finite fuzzy topological spaces

Benoumhani Moussa; Jaballah Ali

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Finite fuzzy topological spaces

机译：有限模糊拓扑空间

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摘要

We compute for the first time, the number of fuzzy topologies defined on a finite set and having a small number of open sets. Certain cases, where the number of open sets is large, are also considered. Several well known results are obtained as corollaries. The paper is ended by some questions for future investigations. (C) 2016 Elsevier B.V. All rights reserved.

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《Fuzzy sets and systems》 |2017年第15期|101-114|共14页
作者
Benoumhani Moussa; Jaballah Ali;
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作者单位

Univ Sharjah, Dept Math, POB 27272, Sharjah, U Arab Emirates;

Univ Sharjah, Dept Math, POB 27272, Sharjah, U Arab Emirates;

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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
Fuzzy topology; Number of fuzzy topologies; Combinatorics; Chain; Antichain; Topology;

机译：模糊拓扑;模糊拓扑数目;组合;链;反链;拓扑;

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1. A note on specialization L-preorder of L-topological spaces, L-fuzzifying topological spaces, and L-fuzzy topological spaces [J] . Wei Yao, Fu-Gui Shi Fuzzy sets and systems . 2008,第19期

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2. Fuzzy topological entropy of fuzzy continuous functions on fuzzy topological spaces [J] . Uzzal Afsan B.M., Basu C.K. Applied mathematics letters . 2011,第12期

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3. Chains in lattices of mappings and finite fuzzy topological spaces [J] . Benoumhani Moussa, Jaballah Ali Journal of Combinatorial Theory, Series A . 2019,第期

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4. On Generalized Pre-Continuous Fuzzy Proper Function from a Fuzzy Topological Space to Another Fuzzy Topological Space [C] . Yusra Jarallah Ajeel International Scientific Conference on Pure Sciences, Brilliant Creativity and Renewed Building . 2019

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5. ON COMPACTNESS AND DISCRETENESS IN FUZZY TOPOLOGICAL SPACES [D] . TONG, JINGCHENG 1985

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6. Weak forms of continuity in I-double gradation fuzzy topological spaces [O] . A Ghareeb -1

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7. On Generalized Continuous Fuzzy Proper Function from a Fuzzy Topological Space to another Fuzzy Topological Space [O] . Al.Khafaje Et al. 2019

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Finite fuzzy topological spaces

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