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?-Fuzzy Ideals of Residuated Lattices

机译:?模糊理想Residuated晶格

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摘要

This paper mainly focuses on building the ?-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ?-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion of prime fuzzy ideal, fuzzy prime ideal and fuzzy prime ideal of the second kind of a residuated lattice and establish existing relationships between these types of fuzzy ideals. Finally, we investigate the notions of fuzzy maximal ideal and maximal fuzzy ideal of a residuated lattice and present some characterizations.
机译:本文主要着重于构建?模糊理想的residuated晶格理论。介绍的概念?模糊理想的residuated晶格并获取它们的属性和等效特征。介绍'模糊理想的概念,模糊素理想和模糊的素理想一种residuated晶格和建立现有的这些类型之间的关系模糊的理想。模糊最大的理想和最大模糊的理想residuated晶格和一些礼物特征。

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