Abstract
We introduce a new contrapositivisation technique for fuzzy implications constructed from grouping functions and fuzzy negations, which generalizes the (S,N)-contrapositivisation, and we study some of its properties; we present some characterizations of the (G,N)-contrapositivisators concerning N-compatibility and the action of an automorphism. Finally, we present one method of how to obtain grouping functions from the contrapositivisators operators of (G,N)-implications.
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Acknowledgments
This work is partially supported by the Brazilian National Council for Scientific and Technological Development CNPq under the Processes 312899/2021-1, 311429/2020-3 and 312053/2018-5.
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Neres, F., Santiago, R., Bedregal, B. (2023). On a New Contrapositivisation Technique for Fuzzy Implications Constructed from Grouping Functions. In: Dick, S., Kreinovich, V., Lingras, P. (eds) Applications of Fuzzy Techniques. NAFIPS 2022. Lecture Notes in Networks and Systems, vol 500. Springer, Cham. https://doi.org/10.1007/978-3-031-16038-7_18
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