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

Fuzzy implications based on semicopulas

Authors
Michal Baczynski, Przemyslaw Grzegorzewski, Radko Mesiar
Corresponding Author
Michal Baczynski
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.112How to use a DOI?
Keywords
Copula, fuzzy implication, probabilistic implication, semicopula.
Abstract
Recently, two new families of fuzzy implication functions called probabilistic implications and probabilistic S-implications were introduced by Grzegorzewski [6, 7, 9]. They are based on conditional copulas and make a bridge between probability theory and fuzzy logic. In this paper we generalize these two classes and propose a new kind of construction methods for fuzzy implications which are based on an a priori given fuzzy implication I and a semicopula B.
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  - Michal Baczynski
AU  - Przemyslaw Grzegorzewski
AU  - Radko Mesiar
PY  - 2015/06
DA  - 2015/06
TI  - Fuzzy implications based on semicopulas
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  - 792
EP  - 798
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.112
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.112
ID  - Baczynski2015/06
ER  -