Fuzzy implications based on semicopulas

DOI

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.

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  - 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  - 10.2991/ifsa-eusflat-15.2015.112
ID  - Baczynski2015/06
ER  -