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Using fuzzy similarity relations to revise and update a knowledge base.

Ricardo Rodríguez;  Pere García;  Lluis Godo — 1996

Mathware and Soft Computing

Similarity-based models were first used by Ruspini to give semantics to fuzzy logic. In these models, incomplete information is represented by an evidential set, i.e. a set of possible worlds that are compatible with the evidence, together with a fuzzy similarity relation} on the set of possible worlds that allows to describe the resemblance of arbitrary subsets of worlds to those belonging to the evidencial set. On the other hand, the question addressed by theory change formalisms is which kind...

Fuzzy approximation relations, modal structures and possibilistic logic.

Francesc Esteva;  Pere García;  Lluis. Godo;  Ricardo O. Rodríguez — 1998

Mathware and Soft Computing

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...

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