Abstract
In this comunication, some construction methods of fuzzy implication functions based on uninorms, nullnorms and fuzzy negations are presented. The main idea is to use these methods in order to obtain new implication functions from old ones in such a way that the obtained implication satisfies a desired property even if the old implication does not satisfy it. In this line, the paper focuses in the following three properties: the control of the decreasingness with respect to the first variable, the strong negation property and the property: \(I(x,N(x))=N(x)\). However, other properties could be also considered in the same way through the proposed methods.
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This paper has been supported by the Spanish Grant TIN2016-75404-P AEI/FEDER, UE.
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Aguiló, I., Suñer, J., Torrens, J. (2018). Using Uninorms and Nullnorms to Modify Fuzzy Implication Functions. In: Torra, V., Mesiar, R., Baets, B. (eds) Aggregation Functions in Theory and in Practice. AGOP 2017. Advances in Intelligent Systems and Computing, vol 581. Springer, Cham. https://doi.org/10.1007/978-3-319-59306-7_11
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