The solution sets of infinite fuzzy relational equations with sup-conjunctor composition on complete distributive lattices

Xue-ping Wang; Chang Xia

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The solution sets of infinite fuzzy relational equations with sup-conjunctor composition on complete distributive lattices

机译：完备分布格上超导组合的无限模糊关系方程的解集

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摘要

This paper deals with sup-conjunctor composition fuzzy relational equations in infinite domains and on complete distributive lattices. When its right-hand side is a continuous join-irreducible element or has an irredundant continuous join-decomposition, a necessary and sufficient condition describing an attainable solution (resp. an unattainable solution) is formulated and some properties of the attainable solution (resp. the unattainable solution) are shown. Further, the structure of solution sets is investigated.

机译：本文研究了无限域和完整分布格上的超混合成分模糊关系方程。当其右侧为无法连续连接的连续元素或具有多余的连续连接分解时，将描述描述可达成的解决方案（必要条件为不可达成的解决方案）的充要条件，并针对可达成的解决方案的某些性质进行说明。显示无法解决的问题）。此外，研究了解决方案集的结构。

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来源
《Fuzzy sets and systems》 |2009年第20期|2989-3006|共18页
作者
Xue-ping Wang; Chang Xia;
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作者单位

Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan 610066, People's Republic of China;

Department of Mathematics, Yang-En University, Quanzhou, Fujian 362014, 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
关键词
complete distributive lattice; conjunctor; relational equation; continuous join-irreducible element; irredundant continuous join-decomposition; solution set;

机译：完整的分布晶格;连词关系方程连续连接不可约元素多余的连续连接分解;解决方案集;

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1. The solution set of a fuzzy relational equation with sup-conjunctor composition in a complete lattice [J] . Xue-ping Wang, Qing-quan Xiong Fuzzy sets and systems . 2005,第2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
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The solution sets of infinite fuzzy relational equations with sup-conjunctor composition on complete distributive lattices

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