One-to-one correspondence between fuzzifying topologies and fuzzy preorders

Jinming Fang; Piwei Chen

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One-to-one correspondence between fuzzifying topologies and fuzzy preorders

机译：模糊拓扑与模糊预序之间的一一对应关系

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摘要

This paper is devoted to the discussion of the relationship between fuzzifying topologies and fuzzy relations. A saturated fuzzifying topology can be generated by a reflexive fuzzy relation; and conversely, a fuzzy preorder can be generated by a fuzzifying topology. In fact, there exists a one-to-one correspondence between the set of all saturated fuzzifying topologies and that of all fuzzy preorders.

机译：本文致力于模糊化拓扑与模糊关系之间的关系的讨论。可以通过自反模糊关系生成饱和的模糊拓扑。相反，可以通过模糊化的拓扑生成模糊的预排序。实际上，在所有饱和模糊化拓扑的集合与所有模糊预序的集合之间存在一对一的对应关系。

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来源
《Fuzzy sets and systems》 |2007年第16期|1814-1822|共9页
作者
Jinming Fang; Piwei Chen;
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作者单位

Department of Mathematics, Ocean University of China, Qing Dao 266071, 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
中图分类模糊数学;
关键词
fuzzifying topology; fuzzy relation; fuzzy preorder;

机译：模糊的拓扑;模糊关系模糊前置;

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2. Connecting Fuzzifying Topologies and Generalized Ideals by Means of Fuzzy Preorders [J] . G. Elsalamony International journal of mathematics and mathematical sciences . 2009,第2期

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3. 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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One-to-one correspondence between fuzzifying topologies and fuzzy preorders

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