The solution set of a fuzzy relational equation with sup-conjunctor composition in a complete lattice

Xue-ping Wang; Qing-quan Xiong

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The solution set of a fuzzy relational equation with sup-conjunctor composition in a complete lattice

机译：完备晶格中具有超导成分的模糊关系方程的解集

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摘要

This paper deals with a fuzzy relational equation with sup-conjunctor composition in a complete lattice. We investigate its properties and describe its solution set. In particular, we give a sufficient and necessary condition that the solution set is nonempty, and a sufficient condition that there exist minimal elements in the solution set.

机译：本文研究了一个完整的晶格中具有超辅助成分的模糊关系方程。我们研究其属性并描述其解决方案集。特别是，我们给出了解集为非空的充分必要条件，并且给出了在解集中存在最少元素的充分条件。

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来源
《Fuzzy sets and systems》 |2005年第2期|p.249-260|共12页
作者
Xue-ping Wang; Qing-quan Xiong;
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作者单位

Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan 610066, People's Republic of 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
complete lattice; conjunctor; relational equation; minimal solution; solution set;

机译：完备晶格;凝聚子;关系方程;最小解;解集;

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1. The solution sets of infinite fuzzy relational equations with sup-conjunctor composition on complete distributive lattices [J] . Xue-ping Wang, Chang Xia Fuzzy sets and systems . 2009,第20期

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2. Infinite fuzzy relational equations with sup-conjunctor on complete Brouwerian lattices [J] . Qing-quan Xiong, Xue-ping Wang Information Sciences: An International Journal . 2014,第Null期

机译：完备的Brouwerian格上具有超共轭的无限模糊关系方程
3. Conditions under which the solution sets of fuzzy relational equations over complete Brouwerian lattices form lattices [J] . Xiao-Bing Qu, Xue-Ping Wang, Man-Hua Lei Fuzzy sets and systems . 2014,第jana1期

机译：完整Brouwerian格上的模糊关系方程的解集形成格的条件
4. Some Results of Interval-valued fuzzy relational equations with sup-conjunctor composition [C] . Xiong Qing-quan, Wang Xue-Ping 2013 Joint IFSA World Congress and NAFIPS Annual Meeting . 2013

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5. Fuzzy relational equations: Resolution and optimization. [D] . Li, Pingke. 2009

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6. Sufficient Solvability Conditions for Systems of Partial Fuzzy Relational Equations [O] . Nhung Cao, Martin Štěpnička -1

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机译：用感知器模型求解模糊关系方程的反问题

The solution set of a fuzzy relational equation with sup-conjunctor composition in a complete lattice

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