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http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2251| Title: | Fuzzy approximation relations, modal structures and possibilistic logic Relaciones difusas de aproximación, estructuras modales y lógica posibilística |
| Authors: | Centre National de la Recherche Scientifique (France) Consejo Superior de Investigaciones Científicas (España) Comisión Interministerial de Ciencia y Tecnología, CICYT (España) |
| Keywords: | Approximation relation Similarity Approximate reasoning Multi-modal system Possibilistic logic |
| Publisher: | Universidad Politécnica de Cataluña |
| Description: | This is a revised and extended version of the paper "Approximate-based Multi-Modal Systems and Possibilistic Logic: A comparative study" in proc. of ESTYLF'96, Publi. Univ. Oviedo (Spain), pp. 113-118. The paper introduces a general axiomatic notion of approximation mapping, a mapping that associates to each crisp proposition p a fuzzy set representing approximately p. It is shown how it can be obtained through fuzzy relations, which are at least reflexive. We study the corresponding multi-modal systems depending on the properties satisfied by the approximate relation. Finally, we show some equivalences between possibilistic logical consequences and global/local logical consequences in the multi-modal systems. This research has been partially supported by the CSIC-CNRS grant called "Similarity-based reasoning and its applications" and by the CICYT, TIC96-1138-C04-01 project SMASH. Peer reviewed |
| URI: | http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2251 |
| Other Identifiers: | Mathware and Soft Computing, 1998, 5 (2-3): 151-166. 1134-5632 http://hdl.handle.net/10261/2251 |
| Appears in Collections: | Digital Csic |
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