Calvo, Tomasa, Beliakov, Gleb and Wilkin, Tim 2014, On weak monotonicity of some mixture functions, in ESTYLF 2014 : Proceedings of the 17th Spanish Congress on Fuzzy Logic and Technology, European Society for Fuzzy Logic and Technology, Zaragoza, Spain, pp. 297-302.
Monotonicity with respect to all arguments is fundamental to the definition of aggregation functions. Here we study means that are not necessarily monotone. Weak monotonicity was recently proposed as a relaxation of the monotonicity condition for averaging functions. We provide results for the weak monotonicity of some importantclasses of mixture functions. With these results we are able to extend and improve the understanding of this very important class of functions.
ISBN
9788415688761
Language
eng
Field of Research
080108 Neural, Evolutionary and Fuzzy Computation
Socio Economic Objective
970101 Expanding Knowledge in the Mathematical Sciences
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