VGTU talpykla >
Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences >
Moksliniai straipsniai / Research articles >
Please use this identifier to cite or link to this item:
http://dspace.vgtu.lt/handle/1/3750
|
Title: | The recalculation of the weights of criteria in MCDM methods using the bayes approach |
Authors: | Vinogradova, Irina Podvezko, Valentinas Zavadskas, Edmundas Kazimieras |
Keywords: | MCDM the criteria of the weights Bayes’ theorem combining the weights symmetry of the method IDOCRIW FAHP evaluating the quality of distant courses |
Issue Date: | 2018 |
Publisher: | MDPI |
Citation: | Vinogradova, I.; Podvezko, V.; Zavadskas, E.K. 2018. The recalculation of the weights of criteria in MCDM methods using the bayes approach, MDPI 10(6): 1-18 |
Series/Report no.: | 10;6 |
Abstract: | The application of multiple criteria decision-making methods (MCDM) is aimed at choosing
the best alternative out of the number of available versions in the absence of the apparently dominant
alternative. One of the two major components of multiple criteria decision-making methods is
represented by the weights of the criteria describing the considered process. The weights of the
criteria quantitatively express their significance and influence on the evaluation result. The criterion
weights can be subjective, i.e., based on the estimates assigned by the experts, and the so-called
objective, i.e., those which assess the structure of the data array at the time of evaluation. Several
groups of experts, representing the opinions of various interested parties may take part in the
evaluation of criteria. The evaluation data on the criterion weights also depend on the mathematical
methods used for calculations and the estimation scales. In determining the objective weights, several
methods, assessing various properties or characteristics of the data array’s structure, are usually
employed. Therefore, the use of the procedures, improving the accuracy of the evaluation of the
weights’ values and the integration of the obtained data into a single value, is often required. The
present paper offers a new approach to more accurate evaluation of the criteria weights obtained
by using various methods based on the idea of the Bayes hypothesis. The performed investigation
shows that the suggested method is symmetrical and does not depend on the fact whether a priori
or posterior values of the weights are recalculated. This result is the theoretical basis for practical
use of the method of combining the weights obtained by various approaches as the geometric
mean of various estimates. The ideas suggested by the authors have been repeatedly used in the
investigation for combining the objective weights, for recalculating the criteria weights after obtaining
the estimates of other groups of experts and for combining the subjective and the objective weights.
The recalculated values of the weights of the criteria are used in the work for evaluating the quality
of the distant courses taught to the students. |
URI: | http://dspace.vgtu.lt/handle/1/3750 |
ISSN: | 2073-8994 |
Appears in Collections: | Moksliniai straipsniai / Research articles
|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
|