On the Preservation of Some Additional Properties via the Quadratic Polynomial Construction Method of Fuzzy Implication Functions
- https://doi.org/10.2991/asum.k.210827.093How to use a DOI?
- Fuzzy implication function, quadratic polynomial construction, ordering property, left neutrality principle, contrapositive symmetry
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.
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Cite this article
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 - https://doi.org/10.2991/asum.k.210827.093 ID - Aguiló2021 ER -