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The analysis of the quality of the results obtained with the methods of multi‐criteria decisions

    Friedel Peldschus Affiliation

Abstract

For many decades we have been dealing with problems of multi‐criteria decisions. Numerous methods have been developed in this field and new methods are continuously being created. In the light of a great number of methods currently proposed, it is difficult to gain a profound overview. Comparisons on the performance of various methods are done to a small extent only. When applying the methods, in some cases many mathematical operations are performed, which renders it impossible to sufficiently assess their effect with such a complexity. It is therefore aimed at analysing the peculiarities of several methods in a critical review and to give hints for possible consequences. The analysis is primarily concentrated on the normalisation of indices in the mapping to the interval [1; 0] or [1; ∼ 0]. This includes linear functions (the relative difference and the calculation with interval boundaries) and non‐linear functions (the hyperbolic function, the quadratic and cubic function, the square root and the logarithmic function). With the critical review, the possibility is offered to the decision maker to better assess the quality of his solution.


Santrauka


Jau daugelį dešimtmečių susiduriame su daugiakriterinių sprendimų problemomis. Daug metodų iki šiol jau yra sukurta, bet tebekuriami nauji. Dėl metodų įvairovės sudėtinga atlikti išsamią jų apžvalgą. Įvairių metodų palyginimų nėra daug. Kai kuriais atvejais, taikant daugiakriterinius metodus, atliekama daug matematinių operacijų, todėl sunku įvertinti skaičiavimo rezultatus. Dėl šios priežasties galimiems sprendiniams prognozuoti nagrinėjami metodų ypatumai. Atliekama metodų analizė normalizuojant rodiklius intervale [1; 0] arba [1; ~ 0]. Tai linijinė funkcija ir netiesinės (hiperbolinė, kvadratinė ir kubinė, kvadratinės šaknies, logaritminė) funkcijos. Straipsnyje pasiūlyta, kaip sprendimo priėmėjui įvertinti jo sprendimo kokybę. 


First published online: 21 Oct 2010


Reikšminiai žodžiai: daugiakriterinis vertinimas, tiesinė funkcija, netiesinė funkcija, normalizavimas, optimizavimas

Keyword : multiple‐criteria evaluation, mapping functions, normalisation, optimisation

How to Cite
Peldschus, F. (2009). The analysis of the quality of the results obtained with the methods of multi‐criteria decisions. Technological and Economic Development of Economy, 15(4), 580-592. https://doi.org/10.3846/1392-8619.2009.15.580-592
Published in Issue
Dec 31, 2009
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