Revistes Catalanes amb Accés Obert (RACO)

Fuzzy approximation relations, modal structures and possibilistic logic

Francesc Esteva Massaguer, Pere Garcia, Lluís Godo Lacasa, Ricardo Oscar Rodríguez


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.

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