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

Properties of the survival implications and S-implications

Authors
Piotr Helbin, Michal Baczynski
Corresponding Author
Piotr Helbin
Available Online June 2015.
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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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
10.2991/ifsa-eusflat-15.2015.114
ISSN
1951-6851
DOI
10.2991/ifsa-eusflat-15.2015.114How to use a DOI?
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/).

Cite this article

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  -