Syllogisms and 5-Square of Opposition with Intermediate Quantifiers in Fuzzy Natural Logic |
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Authors: | Petra Murinová Vilém Novák |
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Institution: | 1.Institute for Research and Applications of Fuzzy Modeling, NSC IT4Innovations,University of Ostrava,Ostrava 1,Czech Republic |
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Abstract: | In this paper, we provide an overview of some of the results obtained in the mathematical theory of intermediate quantifiers that is part of fuzzy natural logic (FNL). We briefly introduce the mathematical formal system used, the general definition of intermediate quantifiers and define three specific ones, namely, “Almost all”, “Most” and “Many”. Using tools developed in FNL, we present a list of valid intermediate syllogisms and analyze a generalized 5-square of opposition. |
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