|کد مقاله||کد نشریه||سال انتشار||مقاله انگلیسی||ترجمه فارسی||نسخه تمام متن|
|389079||661082||2016||15 صفحه PDF||سفارش دهید||دانلود رایگان|
We analyze directional monotonicity of several mixture functions in the direction (1,1…,1)(1,1…,1), called weak monotonicity. Our particular focus is on power weighting functions and the special cases of Lehmer and Gini means. We establish limits on the number of arguments of these means for which they are weakly monotone. These bounds significantly improve the earlier results and hence increase the range of applicability of Gini and Lehmer means. We also discuss the case of affine weighting functions and find the smallest constant which ensures weak monotonicity of such mixture functions.
Journal: Fuzzy Sets and Systems - Volume 299, 15 September 2016, Pages 26–40