Abstract
In this work, the class of fuzzy polynomial implications is introduced as those fuzzy implications whose expression is given by a polynomial of two variables. Some properties related to the values of the coefficients of the polynomial are studied in order to obtain a fuzzy implication. The polynomial implications with degree less or equal to 3 are fully characterized. Among the implications obtained in these results, there are some well-known implications such as the Reichenbach implication.
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Massanet, S., Riera, J.V., Ruiz-Aguilera, D. (2014). On Fuzzy Polynomial Implications. In: Laurent, A., Strauss, O., Bouchon-Meunier, B., Yager, R.R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2014. Communications in Computer and Information Science, vol 442. Springer, Cham. https://doi.org/10.1007/978-3-319-08795-5_15
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DOI: https://doi.org/10.1007/978-3-319-08795-5_15
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08794-8
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