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. © 2011 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Aguiló, I., Suñer, J., & Torrens, J. (2011). Defining aggregation functions from negations. Advances in Intelligent and Soft Computing, 107, 125–135. https://doi.org/10.1007/978-3-642-24001-0_13
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