Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

A new method of generating fuzzy implications from given ones

Authors
Sebastià Massanet, Joan Torrens
Corresponding Author
Sebastià Massanet
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.154How to use a DOI?
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.
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Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2011.154How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Sebastià Massanet
AU  - Joan Torrens
PY  - 2011/08
DA  - 2011/08
TI  - A new method of generating fuzzy implications from given ones
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 215
EP  - 222
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.154
DO  - https://doi.org/10.2991/eusflat.2011.154
ID  - Massanet2011/08
ER  -