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On the properties of measure in the theory of intermediate quantifiers and the quantifier “Many”

机译:关于中间量词和量词“ Many”的度量的性质

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This paper is a contribution to the formal theory of intermediate quantifiers (linguistic expressions such as most, few, almost all, a lot of, many, a great deal of, a large part of, a small part of). This concept informally introduced by Peterson was formalized in the frame of higher-order fuzzy logic by Novak. We address the concept of measure, namely we introduce modified definition providing its additivity and apply the theory to the intermediate quantifier “Many”. We show that the ambiguous behavior of it can be also formally substantiated.
机译:本文对中间量词的形式理论(语言表达,如大多数,很少,几乎全部,很多,很多,很大一部分,一小部分)做出了贡献。 Peterson非正式引入的这一概念在Novak的高阶模糊逻辑框架中得到了形式化。我们讨论量度的概念,即我们引入提供其可加性的修正定义,并将该理论应用于中间量词“ Many”。我们表明它的歧义行为也可以被正式证实。

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