RT Journal Article
T1 On the analysis of set-based fuzzy quantified reasoning using classical syllogistics
A1 Pereira Fariña, Martín
A1 Díaz Hermida, Félix
A1 Bugarín-Diz, Alberto
K1 syllogistic reasoning
K1 fuzzy quantifiers
AB 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 the main support is the linguistic properties of the quantifiers. A number of fuzzy approaches for defining an approximate syllogism have been proposed for which the main support is cardinality calculus. In this paper we analyze fuzzy syllogistic models previously described by Zadeh and Dubois et al. and compare their behavior with that of the classical Aristotelian framework to check which of the 24 classical valid syllogistic reasoning patterns or moods are particular crisp cases of these fuzzy approaches. This allows us to assess to what extent these approaches can be considered as either plausible extensions of the classical crisp syllogism or a basis for a general approach to the problem of approximate syllogism.
PB North-Holland
SN 0165-0114
YR 2013
FD 2013-03
LK http://hdl.handle.net/10347/11900
UL http://hdl.handle.net/10347/11900
LA eng
NO Pereira-Fariña, M., Díaz-Hermida, F., Bugarín, A. (2013). On the analysis of set-based fuzzy quantified reasoning using classical syllogistics. "Fuzzy Sets and Systems: An International Journal in Information Science and Engineering", vol. 214(1), 83-94
DS Minerva
RD 29 abr 2026