Abstract
In this paper the concept of an ordered weighted quasi-average (Quasi-OWA or QOWA) operator is extended from [0,1] to any complete lattice endowed with a t-norm and a t-conorm. In the case of a complete distributive lattice it is shown to agree with some OWA operator and consequently with a particular case of the discrete Sugeno integral. As an application, we show several ways of aggregating either restricted equivalence functions or closed intervals by using QOWA operators.
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Lizasoain, I. (2013). Quasi-OWA Operators on Complete Lattices. 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_49
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DOI: https://doi.org/10.1007/978-3-642-39165-1_49
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-39164-4
Online ISBN: 978-3-642-39165-1
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