Properties of the survival implications and S-implications

DOI

10.2991/ifsa-eusflat-15.2015.114How to use a DOI?

Keywords

Copula, fuzzy implication, survival implication, laws of contraposition, tconditionality, functional equations.

Abstract

Recently, Grzegorzewski [9] introduced two new families of fuzzy implication functions called survival implications and survival S-implications. These two classes of multivalued implications are based on conditional copulas. In the same article the author gave a motivation to his ideas and he analyzed some properties of these classes of fuzzy implications. In this paper the laws of contraposition and T-conditionality are studied for these families of fuzzy implications. Furthermore, we discuss the intersections of both new families of implications with R-implications and (S,N)-implications.

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  - Piotr Helbin
AU  - Michal Baczynski
PY  - 2015/06
DA  - 2015/06
TI  - Properties of the survival implications and S-implications
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  - 807
EP  - 814
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.114
DO  - 10.2991/ifsa-eusflat-15.2015.114
ID  - Helbin2015/06
ER  -