Fuzzy approximation relations, modal structures and possibilistic logic

• Autores: Francisco Esteva, P. García, Lluis Godo Lacasa, R. O. Rodríguez
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 5, Nº. 2-3, 1998, págs. 151-166
• Idioma: inglés
• Títulos paralelos:
  • Relaciones difusas de aproximación, estructuras modales y lógica posibilística
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• Resumen

  • 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.