Fuzzy implications based on semicopulas
- https://doi.org/10.2991/ifsa-eusflat-15.2015.112How to use a DOI?
- Copula, fuzzy implication, probabilistic implication, semicopula.
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.
- © 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 - 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 -