Fuzzy implicators related to (quasi-)copulas

DOI

10.2991/eusflat-19.2019.35How to use a DOI?

Keywords

Copula Fuzzy conjunctor Fuzzy implicator Quasi-copula

Abstract

In this paper, we study relations between fuzzy implicators and some kinds of fuzzy conjunctors, in particular, quasi-copulas and copulas. We show that there is a duality be- tween the classes of all quasi-copulas and 1- Lipschitz fuzzy implicators. In addition, we introduce a construction method for fuzzy implicators based on any two copulas and a Lebesgue integrable fuzzy implicator, and discuss some special cases as well.

Copyright

© 2019, 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  - Anna Kolesárová
AU  - Radko Mesiar
PY  - 2019/08
DA  - 2019/08
TI  - Fuzzy implicators related to (quasi-)copulas
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 235
EP  - 240
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.35
DO  - 10.2991/eusflat-19.2019.35
ID  - Kolesárová2019/08
ER  -