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Title: Fuzzy-syllogistic systems: A generic model for approximate reasoning
Authors: Kumova, Bora İsmail
Keywords: Syllogistic reasoning
Fuzzy logic
Approximate reasoning
Issue Date: 2016
Publisher: Springer
Series/Report no.: Lecture Notes in Artificial Intelligence
Abstract: The well known Aristotelian syllogistic system S consists of 256 moods. We have found earlier that 136 moods are distinct in terms of equal truth ratios that range in tau = [ 0,1]. The truth ratio of a particular mood is calculated by relating the number of true and false syllogistic cases that the mood matches. The introduction of (n -1) fuzzy existential quantifiers, extends the system to fuzzy-syllogistic systems S-n, 1 < n, of which every fuzzy-syllogistic mood can be interpreted as a vague inference with a generic truth ratio, which is determined by its syllogistic structure. Here we introduce two new concepts, the relative truth ratio (r)tau = [ 0,1] that is calculated from the cardinalities of the syllogistic cases of the mood and fuzzy-syllogistic ontology (FSO). We experimentally apply the fuzzy-syllogistic systems S-2 and S-6 as underlying logic of a FSO reasoner (FSR) and discuss sample cases for approximate reasoning.y
Description: 29th International Conference on Industrial, Engineering and Other Applications of Applied Intelligent Systems (IEA/AIE) -- AUG 02-04, 2016 -- Morioka, JAPAN
ISBN: 978-3-319-42007-3; 978-3-319-42006-6
ISSN: 0302-9743
Appears in Collections:Computer Engineering / Bilgisayar Mühendisliği
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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