Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

N-contrapositivisation of fuzzy implication functions

Authors
Isabel Aguiló, Jaume Suñer, Joan Torrens
Corresponding Author
Isabel Aguiló
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.21How to use a DOI?
Keywords
Fuzzy implication, contraposition, strong negation, contrapositivisation.
Abstract
The law of contraposition with respect to a negation (usually strong) is one of the most studied properties in the theory of fuzzy implication functions. We already know some methods for modifying an implication with the aim that the new implication satisfies this property, these methods are called contrapositivisation. In this paper we present two new methods of contrapositivisation with respect to any strong negation and we study their properties. Along this study we will see that these new methods not only preserve the usual properties preserved by the already known methods, but they also have some additional property.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Cite this article

TY  - CONF
AU  - Isabel Aguiló
AU  - Jaume Suñer
AU  - Joan Torrens
PY  - 2015/06
DA  - 2015/06
TI  - N-contrapositivisation of fuzzy implication functions
BT  - 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (IFSA-EUSFLAT-15)
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.21
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.21
ID  - Aguiló2015/06
ER  -