Fuzzifying topology induced by a strong fuzzy metric

Minana Juan-Jose; Sostak Alexander

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Fuzzifying topology induced by a strong fuzzy metric

机译：强模糊度量引起的模糊化拓扑

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摘要

A construction of a fuzzifying topology induced by a strong fuzzy metric is presented. Properties of this fuzzifying topology, in particular, its convergence structure are studied. Our special interest is in the study of the relations between products of fuzzy metrics and the products of the induced fuzzifying topologies. (C) 2015 Elsevier B.V. All rights reserved.

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《Fuzzy sets and systems》 |2016年第1期|24-39|共16页
作者
Minana Juan-Jose; Sostak Alexander;
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作者单位

Univ Politecn Valencia, Inst Matemat Pura & Aplicada, Valencia, Spain;

Univ Latvia, Inst Math & CS, LV-1459 Riga, Latvia;

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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 (pseudo-)metric; Fuzzifying topology; Continuous mapping of fuzzy (pseudo-)metric spaces; Continuous mapping of fuzzifying topological spaces;

机译：模糊（伪）度量;模糊拓扑;模糊（伪）度量空间的连续映射;模糊化拓扑空间的连续映射;

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1. Some Bifuzzy Topologies Induced by A Fuzzifying Topology: Part(I): Fundamental Concepts [J] . K. M. Abd El-Hakeim, F. M. Zeyada The Journal of fuzzy mathematics . 2000,第4期

机译：模糊化拓扑引起的一些Bifuzzy拓扑：第一部分：基本概念
2. Hausdorff topology induced by the fuzzy metric and the fixed point theorems in fuzzy metric spaces [J] . Hsien-Chung Wu Journal of the Korean Mathematical Society . 2015,第6期

机译：模糊度量和定点定理在模糊度量空间中诱导的Hausdorff拓扑
3. A construction of a fuzzy topology from a strong fuzzy metric [J] . Svetlana Grecova, Alexander Sostak, Ingrida Uljane Applied General Topology . 2016,第2期

机译：基于强模糊度量的模糊拓扑构造
4. Upper and lower general aggregation operators based on a strong fuzzy metric [C] . P. Orlovs, S. Asmuss International FLINS conference . 2018

机译：基于强模糊度量的上下通用聚合算子
5. Fuzzy digital topology with an introduction to fuzzy set theory. [D] . Adamo, Regina. 2005

机译：模糊数字拓扑，介绍了模糊集理论。
6. On Categories of L-Fuzzifying Approximation Spaces L-Fuzzifying Pretopological Spaces and L-Fuzzifying Closure Spaces [O] . Anand Pratap Singh, Irina Perfilieva -1

机译：关于L-模糊化近似空间L-模糊化前拓扑空间和L-模糊化封闭空间的分类
7. Fuzzy cγ-open sets and fuzzy cγ-continuity in fuzzifying topology [O] . T. Noiri, O. R. Sayed 2002

机译：模糊拓扑中的模糊cγ-开集与模糊cy-连续性

Fuzzifying topology induced by a strong fuzzy metric

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