ON MATHEMATICAL MODELLING OF SYNTHETIC MEASURES

Author:

Borkowski Boleslaw1,Binderman Zbigniew1,Kozera Ryszard2,Prokopenya Alexander1,Szczesny Wieslaw3

Affiliation:

1. Warsaw University of Life Sciences – SGGW, Faculty of Applied Informatics and Mathematics, Nowoursynowska str. 159, 02-776 Warsaw, Poland

2. Warsaw University of Life Sciences – SGGW, Faculty of Applied Informatics and Mathematics, Nowoursynowska str. 159, 02-776 Warsaw, Poland; The University of Western Australia, Computer Science and Software Engineering, 35 Stirling Highway, WA 6009 Crawley, Perth, Australia

3. Warsaw University of Life Sciences – SGGW, Faculty of Applied Informatics and Mathematics

Abstract

This work deals with some properties of synthetic measures designed to differentiate objects in a multidimensional analysis. The aggregate synthetic measures are discussed here to rank the objects including those validating the concentration spread. The paper shows that currently used various measures (based either on a single or a multiple model object) do not satisfy the necessary conditions requested to be met by a "good" synthetic measure.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference21 articles.

1. Combinatorial optimization and hierarchical classifications

2. The choice of synthetic measures to assessment economic effects;Z. Binderman;Quantitative Methods in Economics,2017

3. Applications of dissimilarity measures of objects ordering and concentrations;Z. Binderman;Computer Algebra Systems in Teaching and Research,2015

4. An application of radar charts to geometrical measures of structures’ of conformability;Z. Binderman;Quantitative Methods in Economics,2011

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