Abstract
The main goal of this paper is to characterize all fuzzy implications with continuous natural negation that satisfy the law of importation with a given continuous t-norm T. Particular cases when the fixed t-norm T is the minimum, the product and the Łukasiewicz t-norm are deduced from the general result and the corresponding characterizations are presented separately.
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Massanet, S., Torrens, J. (2013). Implications Satisfying the Law of Importation with a Given T-norm. In: Bustince, H., Fernandez, J., Mesiar, R., Calvo, T. (eds) Aggregation Functions in Theory and in Practise. Advances in Intelligent Systems and Computing, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39165-1_40
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DOI: https://doi.org/10.1007/978-3-642-39165-1_40
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