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dc.contributor.author | Dubois, Didier | - |
dc.contributor.author | Prade, Henri | - |
dc.contributor.author | Esteva, Francesc | - |
dc.contributor.author | García-Calvés, Pere | - |
dc.contributor.author | Godo, Lluis | - |
dc.date.accessioned | 2018-01-31T13:49:27Z | - |
dc.date.available | 2018-01-31T13:49:27Z | - |
dc.date.issued | 1997 | - |
dc.identifier | doi: 10.1016/S0888-613X(96)00137-5 | - |
dc.identifier | issn: 0888-613X | - |
dc.identifier.citation | International Journal of Approximate Reasoning 17: 1- 36 (1997) | - |
dc.identifier.uri | http://hdl.handle.net/10261/159954 | - |
dc.description.abstract | One of the possible semantics of fuzzy sets is in terms of similarity; namely, a grade of membership of an item in a fuzzy set can be viewed as the degree of resemblance between this item and prototypes of the fuzzy set. In such a framework, an interesting question is how to devise a logic of similarity, where inference rules can account for the proximity between interpretations. The aim is to capture the notion of interpolation inside a logical setting. In this paper, we investigate how a logic of similarity dedicated to interpolation can be defined, by considering different natural consequence relations induced by the presence of a similarity relation on the set of interpretations. These consequence relations are axiomatically characterized in a way that parallels the characterization of nonmonotonic consequence relationships. It is shown how to reconstruct the similarity relation underlying a given family of consequence relations that obey the axioms. Our approach strikingly differs from the logics of indiscernibility, such as the rough-set logics, because emphasis is put on interpolation capabilities. Potential applications are fuzzy rule-based systems and fuzzy case-based reasoning, where notions of similarity play a crucial role. © 1997 Elsevier Science Inc. | - |
dc.description.sponsorship | The authors have been supported by the joint CSIC-CNRS project >Similarity-based Reasoning and Applications.> Francesc Esteva, Pere Garcia, and Lluls Godo have been also partially supported by DGICYT project PB91-0334-C03-03 and by European Community project MUM (Copernicus 10053). | - |
dc.publisher | Elsevier | - |
dc.relation.isversionof | Publisher's version | - |
dc.rights | openAccess | - |
dc.subject | Similarity logic | - |
dc.subject | Interpolation | - |
dc.subject | Graded consequence relations | - |
dc.subject | Fuzzy similarity relations | - |
dc.title | A Logical Approach to Interpolation Based on Similarity Relations | - |
dc.type | artículo | - |
dc.identifier.doi | 10.1016/S0888-613X(96)00137-5 | - |
dc.date.updated | 2018-01-31T13:49:28Z | - |
dc.description.version | Peer Reviewed | - |
dc.language.rfc3066 | eng | - |
dc.contributor.funder | European Commission | - |
dc.contributor.funder | Consejo Superior de Investigaciones Científicas (España) | - |
dc.relation.csic | Sí | - |
dc.identifier.funder | http://dx.doi.org/10.13039/501100000780 | es_ES |
dc.identifier.funder | http://dx.doi.org/10.13039/501100003339 | es_ES |
dc.type.coar | http://purl.org/coar/resource_type/c_6501 | es_ES |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | With Fulltext | - |
item.openairetype | artículo | - |
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IJAR17(1997)_1-36.pdf | 1,49 MB | Adobe PDF | Visualizar/Abrir |
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