RT Journal Article
T1 A Fuzzy Syllogistic Reasoning Schema for Generalized Quantifiers
A1 Pereira Fariña, Martín
A1 Vidal Aguiar, Juan Carlos
A1 Díaz Hermida, Félix
A1 Bugarín-Diz, Alberto
K1 Fuzzy syllogism
K1 Fuzzy quantifiers
K1 Approximate reasoning
AB 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, proportional, comparative and exception) taken from Theory of Generalized Quantifiers and similarity quantifiers, taken from statistics, are considered and (ii) any number of premises can be taken into account within the reasoning process. Furthermore, a systematic reasoning procedure to solve the syllogism is also proposed, interpreting it as an equivalent mathematical optimization problem, where the premises constitute the constraints of the searching space for the quantifier in the conclusion.
PB North-Holland
SN 0165-0114
YR 2014
FD 2014-01
LK http://hdl.handle.net/10347/11892
UL http://hdl.handle.net/10347/11892
LA eng
NO Pereira-Fariña, M., Vidal, J. C., Díaz-Hermida, F., Bugarín, A. (2014). A Fuzzy Syllogistic Reasoning Schema for Generalized Quantifiers. "Fuzzy Sets and Systems: An International Journal in Information Science and Engineering", vol. 234(1), 79-96
NO This work was supported by the Spanish Ministry of Science and Innovation (grant TIN2008-00040), the Spanish Ministry for Economy and Innovation and the European Regional Development Fund (ERDF/FEDER) (grant TIN2011-29827-C02-02) and the Spanish Ministry for Education (FPU Fellowship Program).
DS Minerva
RD 22 abr 2026