.png){kind=icon}
返回
Ω-Lattices
.png){kind=icon}
PRE
AI
DOI：10.1016/j.fss.2016.10.011.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In the framework of Omega-sets, where Omega is a complete lattice, we introduce Omega-lattices, both as algebraic and as order structures. An Omega-poset is an Omega-set equipped with an Omega-valued order which is antisymmetric with respect to the corresponding Omega-valued equality. Using a cut technique, we prove that the quotient cut-substructures can be naturally ordered. Introducing notions of pseudo-infimum and pseudo-supremum, we obtain a definition of an Omega-lattice as an ordering structure. An Omega-lattice as an algebra is a bi-groupoid equipped with an Omega-valued equality, fulfilling particular lattice-theoretic formulas. On an Omega-lattice we introduce an Omega-valued order, and we prove that particular quotient substructures are classical lattices. Assuming Axiom of Choice, we prove that the two approaches are equivalent. (C) 2016 Elsevier B.V. All rights reserved.
Keyword:
Fuzzy lattice
Fuzzy identity
Fuzzy congruence
Fuzzy equality
Complete lattice
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
2.7
论文数:
7.6K
被引数:
1.5W
机构
引用论文
.png){kind=icon}
分享收藏分享收藏分享收藏
查看更多内容