Abstract
In this paper a method of defining aggregation functions from fuzzy negations is introduced.Any aggregation function obtained from a fuzzy negation by this method is proved to be a commutative semicopula and some properties are investigated. In particular, it is proved that by this method some well known examples of copulas and t-norms can be obtained. Moreover, any commutative semicopula constructed by this method can be always obtained from a negation N which is symmetric with respect to the diagonal. Then, those fuzzy negations N for which the corresponding semicopula is a copula are characterized. Also, several examples of negations N are given such that the corresponding semicopula is a t-norm.
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Aguiló, I., Suñer, J., Torrens, J. (2011). Defining Aggregation Functions from Negations. In: Melo-Pinto, P., Couto, P., Serôdio, C., Fodor, J., De Baets, B. (eds) Eurofuse 2011. Advances in Intelligent and Soft Computing, vol 107. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24001-0_13
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DOI: https://doi.org/10.1007/978-3-642-24001-0_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-24000-3
Online ISBN: 978-3-642-24001-0
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