Abstract We further develop our study of the L-fuzzy setting of Formal Concept Analysis with positive and negative attributes (affirmations and denials). While concept lattices in this setting are well described in our previous works, in the present paper we explore the attribute implications; which we call fuzzy containment implications. Among the main results established in the present paper are: results regarding validity of fuzzy containment implications and their models; relationship with previously studied fuzzy attribute implications; definition and properties of semantic entailment.

中文翻译：

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具有正属性和负属性的 L 概念分析中的属性含义：模型的有效性和属性

摘要 我们进一步发展了对具有正面和负面属性（肯定和否定）的形式概念分析的 L 模糊设置的研究。虽然我们之前的工作很好地描述了这种设置中的概念格，但在本文中，我们探讨了属性的含义；我们称之为模糊包含含义。在本文中建立的主要结果包括：关于模糊包含含义及其模型有效性的结果；与先前研究的模糊属性含义的关系；语义蕴涵的定义和性质。