Generalized version of the compatibility theorem. Two examples.

Carlo Bertoluzza; Antonella Bodini

Mathware and Soft Computing (1996)

  • Volume: 3, Issue: 1-2, page 193-197
  • ISSN: 1134-5632

Abstract

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In a previous work ([3]) we proved that the Nguyen's condition for [f(tilde-A)]α to be equal to f(Aα) also holds for the most general class of the L-fuzzy subsets, where L is an arbitrary lattice. Here we recall the main points of the proof ad present some examples ralated to non-linear lattices.

How to cite

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Bertoluzza, Carlo, and Bodini, Antonella. "Generalized version of the compatibility theorem. Two examples.." Mathware and Soft Computing 3.1-2 (1996): 193-197. <http://eudml.org/doc/39072>.

@article{Bertoluzza1996,
abstract = {In a previous work ([3]) we proved that the Nguyen's condition for [f(tilde-A)]α to be equal to f(Aα) also holds for the most general class of the L-fuzzy subsets, where L is an arbitrary lattice. Here we recall the main points of the proof ad present some examples ralated to non-linear lattices.},
author = {Bertoluzza, Carlo, Bodini, Antonella},
journal = {Mathware and Soft Computing},
keywords = {Redes no lineales; Conjuntos difusos; Teorema de deducción; Metalógica; -fuzzy subsets; extension principle; -cuts; compatibility; non-linear lattices},
language = {eng},
number = {1-2},
pages = {193-197},
title = {Generalized version of the compatibility theorem. Two examples.},
url = {http://eudml.org/doc/39072},
volume = {3},
year = {1996},
}

TY - JOUR
AU - Bertoluzza, Carlo
AU - Bodini, Antonella
TI - Generalized version of the compatibility theorem. Two examples.
JO - Mathware and Soft Computing
PY - 1996
VL - 3
IS - 1-2
SP - 193
EP - 197
AB - In a previous work ([3]) we proved that the Nguyen's condition for [f(tilde-A)]α to be equal to f(Aα) also holds for the most general class of the L-fuzzy subsets, where L is an arbitrary lattice. Here we recall the main points of the proof ad present some examples ralated to non-linear lattices.
LA - eng
KW - Redes no lineales; Conjuntos difusos; Teorema de deducción; Metalógica; -fuzzy subsets; extension principle; -cuts; compatibility; non-linear lattices
UR - http://eudml.org/doc/39072
ER -

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