Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC)
The weights of criteria in multi-criteria decision-making (MCDM) problems are essential elements that can significantly affect the results. Accordingly, researchers developed and presented several methods to determine criteria weights. Weighting methods could be objective, subjective, and integrated...
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doaj-e77ee02a603b416bbc5ac27a8dae39372021-03-25T00:01:44ZengMDPI AGSymmetry2073-89942021-03-011352552510.3390/sym13040525Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC)Mehdi Keshavarz-Ghorabaee0Maghsoud Amiri1Edmundas Kazimieras Zavadskas2Zenonas Turskis3Jurgita Antucheviciene4Department of Management, Faculty of Humanities (Azadshahr Branch), Gonbad Kavous University, Gonbad Kavous 49717-99151, IranDepartment of Industrial Management, Faculty of Management and Accounting, Allameh Tabataba’i University, Tehran 14348-63111, IranInstitute of Sustainable Construction, Civil Engineering Faculty, Vilnius Gediminas Technical University, Sauletekio al. 11, LT-10223 Vilnius, LithuaniaInstitute of Sustainable Construction, Civil Engineering Faculty, Vilnius Gediminas Technical University, Sauletekio al. 11, LT-10223 Vilnius, LithuaniaDepartment of Construction Management and Real Estate, Vilnius Gediminas Technical University, Sauletekio al. 11, LT-10223 Vilnius, LithuaniaThe weights of criteria in multi-criteria decision-making (MCDM) problems are essential elements that can significantly affect the results. Accordingly, researchers developed and presented several methods to determine criteria weights. Weighting methods could be objective, subjective, and integrated. This study introduces a new method, called MEREC (MEthod based on the Removal Effects of Criteria), to determine criteria’ objective weights. This method uses a novel idea for weighting criteria. After systematically introducing the method, we present some computational analyses to confirm the efficiency of the MEREC. Firstly, an illustrative example demonstrates the procedure of the MEREC for calculation of the weights of criteria. Secondly, a comparative analysis is presented through an example for validation of the introduced method’s results. Additionally, we perform a simulation-based analysis to verify the reliability of MEREC and the stability of its results. The data of the MCDM problems generated for making this analysis follow a prevalent symmetric distribution (normal distribution). We compare the results of the MEREC with some other objective weighting methods in this analysis, and the analysis of means (ANOM) for variances shows the stability of its results. The conducted analyses demonstrate that the MEREC is efficient to determine objective weights of criteria.https://www.mdpi.com/2073-8994/13/4/525decision-makingcriteria weightsobjective weightsweightingMCDMMADM |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Mehdi Keshavarz-Ghorabaee Maghsoud Amiri Edmundas Kazimieras Zavadskas Zenonas Turskis Jurgita Antucheviciene |
spellingShingle |
Mehdi Keshavarz-Ghorabaee Maghsoud Amiri Edmundas Kazimieras Zavadskas Zenonas Turskis Jurgita Antucheviciene Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC) Symmetry decision-making criteria weights objective weights weighting MCDM MADM |
author_facet |
Mehdi Keshavarz-Ghorabaee Maghsoud Amiri Edmundas Kazimieras Zavadskas Zenonas Turskis Jurgita Antucheviciene |
author_sort |
Mehdi Keshavarz-Ghorabaee |
title |
Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC) |
title_short |
Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC) |
title_full |
Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC) |
title_fullStr |
Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC) |
title_full_unstemmed |
Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC) |
title_sort |
determination of objective weights using a new method based on the removal effects of criteria (merec) |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2021-03-01 |
description |
The weights of criteria in multi-criteria decision-making (MCDM) problems are essential elements that can significantly affect the results. Accordingly, researchers developed and presented several methods to determine criteria weights. Weighting methods could be objective, subjective, and integrated. This study introduces a new method, called MEREC (MEthod based on the Removal Effects of Criteria), to determine criteria’ objective weights. This method uses a novel idea for weighting criteria. After systematically introducing the method, we present some computational analyses to confirm the efficiency of the MEREC. Firstly, an illustrative example demonstrates the procedure of the MEREC for calculation of the weights of criteria. Secondly, a comparative analysis is presented through an example for validation of the introduced method’s results. Additionally, we perform a simulation-based analysis to verify the reliability of MEREC and the stability of its results. The data of the MCDM problems generated for making this analysis follow a prevalent symmetric distribution (normal distribution). We compare the results of the MEREC with some other objective weighting methods in this analysis, and the analysis of means (ANOM) for variances shows the stability of its results. The conducted analyses demonstrate that the MEREC is efficient to determine objective weights of criteria. |
topic |
decision-making criteria weights objective weights weighting MCDM MADM |
url |
https://www.mdpi.com/2073-8994/13/4/525 |
work_keys_str_mv |
AT mehdikeshavarzghorabaee determinationofobjectiveweightsusinganewmethodbasedontheremovaleffectsofcriteriamerec AT maghsoudamiri determinationofobjectiveweightsusinganewmethodbasedontheremovaleffectsofcriteriamerec AT edmundaskazimieraszavadskas determinationofobjectiveweightsusinganewmethodbasedontheremovaleffectsofcriteriamerec AT zenonasturskis determinationofobjectiveweightsusinganewmethodbasedontheremovaleffectsofcriteriamerec AT jurgitaantucheviciene determinationofobjectiveweightsusinganewmethodbasedontheremovaleffectsofcriteriamerec |
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