Abstract
The operators defined on a finite chain, usually called discrete operators, constitute a field of increasing interest because of their applications to qualitative aggregation and computing with words. We introduce in this paper the residual implications derived from discrete uninorms, we look at their most interesting properties and their axiomatic characterization is also given.
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Acknowledgments
It was our pleasure to jointly work with Professor Enric Trillas in some aspects of fuzzy implication functions. We would like to bring him this work with our respect and admiration. This paper has been partially supported by the Spanish Grants MTM2009-10320 and TIN2013-42795-P, both with FEDER support.
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Mas, M., Mayor, G., Monserrat, M., Torrens, J. (2015). Residual Implications from Discrete Uninorms. A Characterization. In: Magdalena, L., Verdegay, J., Esteva, F. (eds) Enric Trillas: A Passion for Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol 322. Springer, Cham. https://doi.org/10.1007/978-3-319-16235-5_3
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DOI: https://doi.org/10.1007/978-3-319-16235-5_3
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