Quantifier-based operators are fuzzy quantifiers that are, similarly to the intermediate quantifiers, based on the evaluative linguistic expressions not small, very big and extremely big. This article focuses mainly on achieving two goals. Firstly, quantifier-based operators are introduced to create extended fuzzy concept lattices that capture more detailed information from datasets compared to the existing ones. Then, graded extensions of Aristotle's square, named polygons of opposition, are constructed using quantifier-based operators. Our results highlight new connections between three different research areas: the theory of evaluative linguistic expressions, fuzzy formal concept analysis, and the studies on Aristotle's square.¹

基于量词的算子是模糊量词，类似于中间量词，它们基于不小的，非常大的和非常大的评估语言表达式。本文主要关注于实现两个目标。首先，引入了基于量词的运算符以创建扩展的模糊概念格，与现有数据集相比，该格可以捕获来自数据集的更多详细信息。然后，对亚里士多德广场进行分级扩展，命名为对立面使用基于量词的运算符构造。我们的研究结果突显了三个不同研究领域之间的新联系：评估性语言表达理论，模糊形式概念分析以及对亚里士多德广场的研究。^1个