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A Model for Determining Weight Coefficients by Forming a Non-Decreasing Series at Criteria Significance Levels (NDSL)
- Source :
- Mathematics, Volume 8, Issue 5, Mathematics, Vol 8, Iss 745, p 745 (2020)
- Publication Year :
- 2020
- Publisher :
- Multidisciplinary Digital Publishing Institute, 2020.
-
Abstract
- In this paper, a new method for determining weight coefficients by forming a non-decreasing series at criteria significance levels (the NDSL method) is presented. The NDLS method includes the identification of the best criterion (i.e., the most significant and most influential criterion) and the ranking of criteria in a decreasing series from the most significant to the least significant criterion. Criteria are then grouped as per the levels of significance within the framework of which experts express their preferences in compliance with the significance of such criteria. By employing this procedure, fully consistent results are obtained. In this paper, the advantages of the NDSL model are singled out through a comparison with the Best Worst Method (BWM) and Analytic Hierarchy Process (AHP) models. The advantages include the following: (1) the NDSL model requires a significantly smaller number of pairwise comparisons of criteria, only involving an n &minus<br />1 comparison, whereas the AHP requires an n(n &minus<br />1)/2 comparison and the BWM a 2n &minus<br />3 comparison<br />(2) it enables us to obtain reliable (consistent) results, even in the case of a larger number of criteria (more than nine criteria)<br />(3) the NDSL model applies an original algorithm for grouping criteria according to the levels of significance, through which the deficiencies of the 9-degree scale applied in the BWM and AHP models are eliminated. By doing so, the small range and inconsistency of the 9-degree scale are eliminated<br />(4) while the BWM includes the defining of one unique best/worst criterion, the NDSL model eliminates this limitation and gives decision-makers the freedom to express the relationships between criteria in accordance with their preferences. In order to demonstrate the performance of the developed model, it was tested on a real-world problem and the results were validated through a comparison with the BWM and AHP models.
- Subjects :
- criteria weights
Series (mathematics)
Scale (ratio)
AHP
General Mathematics
lcsh:Mathematics
Analytic hierarchy process
02 engineering and technology
010501 environmental sciences
pairwise comparisons
lcsh:QA1-939
01 natural sciences
Identification (information)
NDSL model
Ranking
Small range
Statistics
0202 electrical engineering, electronic engineering, information engineering
Computer Science (miscellaneous)
020201 artificial intelligence & image processing
Pairwise comparison
Best worst method
Engineering (miscellaneous)
0105 earth and related environmental sciences
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Database :
- OpenAIRE
- Journal :
- Mathematics
- Accession number :
- edsair.doi.dedup.....a307477e63358f9793b8015575c1e745
- Full Text :
- https://doi.org/10.3390/math8050745