N-contrapositivisation of fuzzy implication functions

DOI

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.

Copyright

© 2015, 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  - Isabel Aguiló
AU  - Jaume Suñer
AU  - Joan Torrens
PY  - 2015/06
DA  - 2015/06
TI  - N-contrapositivisation of fuzzy implication functions
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 123
EP  - 130
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.21
DO  - 10.2991/ifsa-eusflat-15.2015.21
ID  - Aguiló2015/06
ER  -