Fuzzy approximation relations, modal structures and possibilistic logic
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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.
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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Com citar
Esteva Massaguer, Francesc et al. «Fuzzy approximation relations, modal structures and possibilistic logic». Mathware & soft computing, 1998, vol.VOL 5, núm. 2, https://raco.cat/index.php/Mathware/article/view/84760.
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