Abstract
Weakly quasi-convex fuzzy sets have been defined as an extension of the class of quasi-convex fuzzy sets. We study the binary commutative aggregation operators which preserve weak quasi-convexity. It is shown, that there is only one such aggregation operator and it is the trivial (the largest) one. As a corollary we obtain that in general the intersection of weakly quasi-convex fuzzy sets is not weakly quasi-convex.
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© 2012 Springer-Verlag Berlin Heidelberg
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Janiš, V., Montes, S., Iglesias, T. (2012). Aggregation of Weakly Quasi-convex Fuzzy Sets. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31718-7_37
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DOI: https://doi.org/10.1007/978-3-642-31718-7_37
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31717-0
Online ISBN: 978-3-642-31718-7
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