Fuzzy approximation relations, modal structures and possibilistic logic.

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

Mathware and Soft Computing (1998)

  • Volume: 5, Issue: 2-3, page 151-166
  • ISSN: 1134-5632

Abstract

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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.

How to cite

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Esteva, Francesc, et al. "Fuzzy approximation relations, modal structures and possibilistic logic.." Mathware and Soft Computing 5.2-3 (1998): 151-166. <http://eudml.org/doc/39131>.

@article{Esteva1998,
abstract = {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.},
author = {Esteva, Francesc, García, Pere, Godo, Lluis., Rodríguez, Ricardo O.},
journal = {Mathware and Soft Computing},
keywords = {Lógica difusa; Teoría de la aproximación; Lógica modal; Inteligencia artificial; approximation mapping},
language = {eng},
number = {2-3},
pages = {151-166},
title = {Fuzzy approximation relations, modal structures and possibilistic logic.},
url = {http://eudml.org/doc/39131},
volume = {5},
year = {1998},
}

TY - JOUR
AU - Esteva, Francesc
AU - García, Pere
AU - Godo, Lluis.
AU - Rodríguez, Ricardo O.
TI - Fuzzy approximation relations, modal structures and possibilistic logic.
JO - Mathware and Soft Computing
PY - 1998
VL - 5
IS - 2-3
SP - 151
EP - 166
AB - 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.
LA - eng
KW - Lógica difusa; Teoría de la aproximación; Lógica modal; Inteligencia artificial; approximation mapping
UR - http://eudml.org/doc/39131
ER -

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