Logical approaches to fuzzy similarity-based reasoning: An overview

The aim of this paper is to survey a class of logical formalizations of similarity-based reasoning models where similarity is understood as a graded notion of truthlikeness. We basically identify two different kinds of logical approaches that have been used to formalize fuzzy similarity reasoning: s...

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Autores principales: Godo, L., Rodríguez, R.O.
Formato: SER
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02541971_v504_n_p75_Godo
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spelling todo:paper_02541971_v504_n_p75_Godo2023-10-03T15:11:31Z Logical approaches to fuzzy similarity-based reasoning: An overview Godo, L. Rodríguez, R.O. The aim of this paper is to survey a class of logical formalizations of similarity-based reasoning models where similarity is understood as a graded notion of truthlikeness. We basically identify two different kinds of logical approaches that have been used to formalize fuzzy similarity reasoning: syntacticelly-oriented approaches based on a notion of approximate proof, and semantically-oriented approaches based on several notions of approximate entailments. In particular, for these approximate entailments we provide four different formalisations in terms of suitable systems of modal and conditional logics, including for each class a system of graded operators with classical semantics, as well as a system with many-valued operators. Finally, we also explore some nonmonotonic issues of similarity-based reasoning. © 2008, Springer International Publishing. All rights reserved. SER info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02541971_v504_n_p75_Godo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The aim of this paper is to survey a class of logical formalizations of similarity-based reasoning models where similarity is understood as a graded notion of truthlikeness. We basically identify two different kinds of logical approaches that have been used to formalize fuzzy similarity reasoning: syntacticelly-oriented approaches based on a notion of approximate proof, and semantically-oriented approaches based on several notions of approximate entailments. In particular, for these approximate entailments we provide four different formalisations in terms of suitable systems of modal and conditional logics, including for each class a system of graded operators with classical semantics, as well as a system with many-valued operators. Finally, we also explore some nonmonotonic issues of similarity-based reasoning. © 2008, Springer International Publishing. All rights reserved.
format SER
author Godo, L.
Rodríguez, R.O.
spellingShingle Godo, L.
Rodríguez, R.O.
Logical approaches to fuzzy similarity-based reasoning: An overview
author_facet Godo, L.
Rodríguez, R.O.
author_sort Godo, L.
title Logical approaches to fuzzy similarity-based reasoning: An overview
title_short Logical approaches to fuzzy similarity-based reasoning: An overview
title_full Logical approaches to fuzzy similarity-based reasoning: An overview
title_fullStr Logical approaches to fuzzy similarity-based reasoning: An overview
title_full_unstemmed Logical approaches to fuzzy similarity-based reasoning: An overview
title_sort logical approaches to fuzzy similarity-based reasoning: an overview
url http://hdl.handle.net/20.500.12110/paper_02541971_v504_n_p75_Godo
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AT rodriguezro logicalapproachestofuzzysimilaritybasedreasoninganoverview
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