Mixture functions and their monotonicity

Špirková, Jana, 1962-

Mixture functions and their monotonicity / Jana Špirková ... [et al.]. -- 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. (C) 2019 Elsevier Inc. All rights reserved.

In Information sciences. -- New York : Elsevier Science Ltd., 2019. -- ISSN 0020-0255. -- ISSN 1872-6291. -- Vol. 481, (2019), pp. 520-549