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  • Mixture functions and their...
    Špirková, Jana; Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier

    Information sciences, 20/May , Letnik: 481
    Journal Article

    We consider mixture functions, which are a type of weighted averages for which the corresponding weights are calculated by means of appropriate continuous functions of their inputs. In general, these mixture function need not be monotone increasing. For this reason we study sufficient conditions to ensure standard, weak and directional monotonicity for specific types of weighting functions. We also analyze directional monotonicity when differentiability is assumed.