On (OP)-polynomial implications
- https://doi.org/10.2991/ifsa-eusflat-15.2015.171How to use a DOI?
- Fuzzy implication, (OP)-polynomial implication, R-implication, exchange principle.
The disposal of many families of fuzzy implications is crucial to handle the great number of applications these operators have. In this work, the class of fuzzy (OP)-polynomial implications is introduced as those fuzzy implications satisfying the ordering property (OP) whose expression in the region where x > y is given by a polynomial of two variables. Since not all polynomials are adequate to generate a fuzzy implication, some properties related to the values of the coefficients of the polynomial to accomplish this fact have been studied. The (OP)-polynomial implications with degree less than 2 are fully characterized. Among the implications obtained in these results, there are some well-known implications such as the ukasiewicz implication, among many others. Finally, several construction methods of these implications from other well-known families of fuzzy implications are given.
- © 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 - Sebastia Massanet AU - Juan Vicente Riera AU - Daniel Ruiz-Aguilera PY - 2015/06 DA - 2015/06 TI - On (OP)-polynomial 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 - 1208 EP - 1215 SN - 1951-6851 UR - https://doi.org/10.2991/ifsa-eusflat-15.2015.171 DO - https://doi.org/10.2991/ifsa-eusflat-15.2015.171 ID - Massanet2015/06 ER -