Logic: Going farther from Tarski?
type: Item
instance of: scholarly article
title: Logic: Going farther from Tarski?
zbMATH Open document ID: 0792.03012
DOI: 10.1016/0165-0114(93)90518-M
author: Enric Trillas
author: Claudi Alsina
published in: Fuzzy Sets and Systems
publication date: 1994-01-20T00:00:00Z
review text: The authors show how some new concepts of fuzzy mathematics, widely used in Artificial Intelligence, are related (or not) to the classical logical approach made by Tarski. Starting with consequence operators, the equivalence to preorders is given and the corresponding fuzzy preoders are studied. This yields the consideration of approximate consequences and their relations with some probabilistic models. Several classical logical concepts are revisited and generalized in the framework of fuzzy logic.
reviewed by: Claudi Alsina
Mathematics Subject Classification ID: 03B52
zbMATH DE Number: 487448
zbMATH Keywords: modus ponens
zbMATH Keywords: material implication
zbMATH Keywords: consequence operators
zbMATH Keywords: fuzzy preoders
zbMATH Keywords: approximate consequences
zbMATH Keywords: probabilistic models
zbMATH Keywords: fuzzy logic
MaRDI profile type: Publication
cites work: Synthesizing implications
cites work: On some logical connectives for fuzzy sets theory
cites work: MILORD: The architecture and the management of linguistically expressed uncertainty
cites work: Q3915630
cites work: Q4261127
cites work: On the structure of F-indistinguishability operators
full work available at URL: 0165-0114(93)90518-m
OpenAlex ID: W2085550970
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description: scientific article; zbMATH DE number 487448