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title:
 
A new method of generating fuzzy implications from given ones
publication:
 
EUSFLAT
part of series:
  Advances in Intelligent Systems Research
pages:   215 - 222
DOI:
  To be assigned soon (how to use a DOI)
author(s):
 
S. Massanet, J. Torrens
publication date:
 
July 2011
keywords:
 
Fuzzy implication, e-generation method, contrapositive symmetry, exchange principle, law of importation.
abstract:
 
In this paper, a new construction method of a fuzzy implication from two given ones, called e-generation method, is introduced. This method allows to con- trol, up to a certain level, the increasingness on the second variable of the fuzzy implication through an adequate scaling on that variable of the two given implications. The natural propagation of the most usual properties of fuzzy implications from the ini- tial ones to the constructed implication is studied. Unlike majority of existing construction methods of fuzzy implications, this model preserves the ex- change principle, even the law of importation, under certain conditions.
copyright:
 
© Atlantis Press. This article is distributed under the terms of the Creative Commons Attribution License, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited.
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