An Approach for Generating Weights Using the Pairwise Comparison Matrix
Data envelopment analysis (DEA) has been used for obtaining weights for the analytic hierarchy process (AHP), an approach known as DEAHP. This method sometimes identifies more than one decision criterion or alternative as DEAHP-efficient. To overcome this problem, this paper proposes a new approach...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/3217120 |
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| author | Zaher Sepehrian Sahar Khoshfetrat Said Ebadi |
| author_facet | Zaher Sepehrian Sahar Khoshfetrat Said Ebadi |
| author_sort | Zaher Sepehrian |
| collection | DOAJ |
| description | Data envelopment analysis (DEA) has been used for obtaining weights for the analytic hierarchy process (AHP), an approach known as DEAHP. This method sometimes identifies more than one decision criterion or alternative as DEAHP-efficient. To overcome this problem, this paper proposes a new approach that not only generates appropriate weights for the decision criteria or alternatives, but also differentiates between DEAHP-efficient decision criteria or alternatives. To this end, we propose a DEA model with an assurance region and a cross-weight model that prioritizes decision criteria or alternatives by considering their most unfavorable weights. Two numerical examples are also provided to illustrate the advantages and potential applications of the proposed model. |
| format | Article |
| id | doaj-art-6041b601c0a54f06910fae7470acc505 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6041b601c0a54f06910fae7470acc5052025-02-03T07:24:15ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/3217120An Approach for Generating Weights Using the Pairwise Comparison MatrixZaher Sepehrian0Sahar Khoshfetrat1Said Ebadi2Department of MathematicsDepartment of MathematicsDepartment of MathematicsData envelopment analysis (DEA) has been used for obtaining weights for the analytic hierarchy process (AHP), an approach known as DEAHP. This method sometimes identifies more than one decision criterion or alternative as DEAHP-efficient. To overcome this problem, this paper proposes a new approach that not only generates appropriate weights for the decision criteria or alternatives, but also differentiates between DEAHP-efficient decision criteria or alternatives. To this end, we propose a DEA model with an assurance region and a cross-weight model that prioritizes decision criteria or alternatives by considering their most unfavorable weights. Two numerical examples are also provided to illustrate the advantages and potential applications of the proposed model.http://dx.doi.org/10.1155/2021/3217120 |
| spellingShingle | Zaher Sepehrian Sahar Khoshfetrat Said Ebadi An Approach for Generating Weights Using the Pairwise Comparison Matrix Journal of Mathematics |
| title | An Approach for Generating Weights Using the Pairwise Comparison Matrix |
| title_full | An Approach for Generating Weights Using the Pairwise Comparison Matrix |
| title_fullStr | An Approach for Generating Weights Using the Pairwise Comparison Matrix |
| title_full_unstemmed | An Approach for Generating Weights Using the Pairwise Comparison Matrix |
| title_short | An Approach for Generating Weights Using the Pairwise Comparison Matrix |
| title_sort | approach for generating weights using the pairwise comparison matrix |
| url | http://dx.doi.org/10.1155/2021/3217120 |
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