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On the analysis of set-based fuzzy quantified reasoning using classical syllogistics
Syllogism is a type of deductive reasoning involving quantified statements. The syllogistic reasoning scheme in the classical Aristotelian framework involves three crisp term sets and four linguistic quantifiers, for which ...
A Fuzzy Syllogistic Reasoning Schema for Generalized Quantifiers
In this paper, a new approximate syllogistic reasoning schema is described that expands some of the approaches expounded in the literature into two ways: (i) a number of different types of quantifiers (logical, absolute, ...
Characterizing Quantifier Fuzzification Mechanisms: A behavioral guide for applications
Important advances have been made in the fuzzy quantification field. Nevertheless, some problems remain when we face the decision of selecting the most convenient model for a specific application. In the literature, several ...
Some Reﬂections on the Set-based and the Conditional-based Interpretations of Statements in Syllogistic Reasoning
(European Centre for Soft Computing, 2014-05)
Two interpretations about syllogistic statements are described in this paper. One is the so-called set-based interpretation, which assumes that quantified statements and syllogisms talk about quantity-relationships between ...