A new method of generating fuzzy implications from given ones

DOI

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.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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 (EUSFLAT-11)
PB  - Atlantis Press
SP  - 215
EP  - 222
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.154
DO  - 10.2991/eusflat.2011.154
ID  - Massanet2011/08
ER  -