Weak monotonicity of Lehmer and Gini means

Beliakov, Gleb Weak monotonicity of Lehmer and Gini means / Gleb Beliakov, Jana Špirková. -- We analyzedirectional monotonicity of several mixture functions in the direction (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. (C) 2015 Elsevier B.V. All rights reserved.

In Fuzzy Sets and Systems : An International Journal in Information Science and Engineering. -- Amsterdam : Elsevier B.V., 2016. -- ISSN 0165-0114. -- ISSN 1872-6801. -- Vol. 299 (2016), pp. 26-40

1. funkcie 2. monotónne funkcie 3. weak monotonicity

I. Špirková, Jana, 1962-
II. Fuzzy Sets and Systems : An International Journal in Information Science and Engineering. -- Vol. 299 (2016), pp. 26-40

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