Qualitative reasoning with imprecise probabilities
Journal of Intelligent Information Systems - Special issue: fuzzy logic and uncertainty management in information systems
Dynamic reasoning with qualified syllogisms
Artificial Intelligence
An overview of fuzzy quantifiers (II). Reasoning and applications
Fuzzy Sets and Systems
Convex Optimization
A formal theory of intermediate quantifiers
Fuzzy Sets and Systems
MICAI'10 Proceedings of the 9th Mexican international conference on Artificial intelligence conference on Advances in soft computing: Part II
A formal theory of generalized intermediate syllogisms
Fuzzy Sets and Systems
On the analysis of set-based fuzzy quantified reasoning using classical syllogistics
Fuzzy Sets and Systems
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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.