On the Preservation of Some Additional Properties via the Quadratic Polynomial Construction Method of Fuzzy Implication Functions

DOI

10.2991/asum.k.210827.093How to use a DOI?

Keywords

Fuzzy implication function, quadratic polynomial construction, ordering property, left neutrality principle, contrapositive symmetry

Abstract

Following the extensively studied line of research of proposing new construction methods of fuzzy implication functions, recently a construction method based on a quadratic polynomial function and a given fuzzy implication function was proposed. The importance of this method relies on the fact that some additional properties are preserved from the original fuzzy implication function to the generated one for some quadratic polynomial functions. In this paper, the preservation of two pairs of additional properties under this method is deeply studied providing some quadratic construction methods with this behaviour.

Copyright

© 2021, 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/).

Download article (PDF)

TY  - CONF
AU  - Isabel Aguiló
AU  - Sebastia Massanet
AU  - J. Vicente Riera
PY  - 2021
DA  - 2021/08/30
TI  - On the Preservation of Some Additional Properties via the Quadratic Polynomial Construction Method of Fuzzy Implication Functions
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 687
EP  - 694
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.093
DO  - 10.2991/asum.k.210827.093
ID  - Aguiló2021
ER  -