Abstract
Recently, many papers have appeared dealing with the distributivity of fuzzy implications over t-norms, t-conorms and uninorms. These equations have a very important role to play in efficient inferencing in approximate reasoning, especially fuzzy control systems. In [2] we have discussed the distributivity of continuous functions, in particular implication operations, over t-representable t-norms, generated from the product t-norm, in intuitionistic fuzzy sets theory. In this work we continue investigations for interval-valued fuzzy sets theory, but without any regular assumptions on an unknown function \(\mathcal{I}\).
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Baczyński, M. (2010). On the Distributivity of Implication Operations over t-Representable t-Norms Generated from Strict t-Norms in Interval-Valued Fuzzy Sets Theory. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods. IPMU 2010. Communications in Computer and Information Science, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14055-6_67
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DOI: https://doi.org/10.1007/978-3-642-14055-6_67
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