Directional monotonicity of fusion functions

H. Bustince, J. Fernandez, A. Kolesárová and R. Mesiar

European Journal of Operational Research, 2015, vol. 244, issue 1, 300-308

Abstract: In this paper we deal with fusion functions, i.e., mappings from [0, 1]n into [0, 1]. As a generalization of the standard monotonicity and recently introduced weak monotonicity, we introduce and study the directional monotonicity of fusion functions. For distinguished fusion functions the sets of all directions in which they are increasing are determined. Moreover, in the paper the directional monotonicity of piecewise linear fusion functions is completely characterized. These results cover, among others, weighted arithmetic means, OWA operators, the Choquet, Sugeno and Shilkret integrals.

Keywords: Multiple criteria analysis; Aggregation function; Fusion function; Directional monotonicity; Piecewise linear function (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:244:y:2015:i:1:p:300-308

DOI: 10.1016/j.ejor.2015.01.018

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