An Interactive Procedure to Solve Multi-Objective Decision-Making Problem: An Improvment to STEM Method
Decisions in the real-world contexts are often made in the presence of multiple, conflicting, and incommensurate criteria. Multiobjective programming methods such as multiple objective linear programming (MOLP) are techniques used to solve such multiple-criteria decision-making (MCDM) problems. One...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/324712 |
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| _version_ | 1849308384264716288 |
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| author | R. Roostaee M. Izadikhah F. Hosseinzadeh Lotfi |
| author_facet | R. Roostaee M. Izadikhah F. Hosseinzadeh Lotfi |
| author_sort | R. Roostaee |
| collection | DOAJ |
| description | Decisions in the real-world contexts are often made in the presence of multiple, conflicting, and incommensurate criteria. Multiobjective programming methods such as multiple objective linear programming (MOLP) are techniques used to solve such multiple-criteria decision-making (MCDM) problems. One of the first interactive procedures to solve MOLP is STEM method. In this paper we try to improve STEM method in a way that we search a point in reduced feasible region whose criterion vector is closest to positive ideal criterion vector and furthest to negative ideal criterion vector. Therefore the presented method tries to increase the rate of satisfactoriness of the obtained solution. Finally, a numerical example for illustration of the new method is given to clarify the main results developed in this paper. |
| format | Article |
| id | doaj-art-0fe978f5380848e0b814cecb326dcf69 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-0fe978f5380848e0b814cecb326dcf692025-08-20T03:54:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/324712324712An Interactive Procedure to Solve Multi-Objective Decision-Making Problem: An Improvment to STEM MethodR. Roostaee0M. Izadikhah1F. Hosseinzadeh Lotfi2Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, IranDepartment of Mathematics, Islamic Azad University, Arak Branch, P.O. Box 38135/567 Arak, IranDepartment of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, IranDecisions in the real-world contexts are often made in the presence of multiple, conflicting, and incommensurate criteria. Multiobjective programming methods such as multiple objective linear programming (MOLP) are techniques used to solve such multiple-criteria decision-making (MCDM) problems. One of the first interactive procedures to solve MOLP is STEM method. In this paper we try to improve STEM method in a way that we search a point in reduced feasible region whose criterion vector is closest to positive ideal criterion vector and furthest to negative ideal criterion vector. Therefore the presented method tries to increase the rate of satisfactoriness of the obtained solution. Finally, a numerical example for illustration of the new method is given to clarify the main results developed in this paper.http://dx.doi.org/10.1155/2012/324712 |
| spellingShingle | R. Roostaee M. Izadikhah F. Hosseinzadeh Lotfi An Interactive Procedure to Solve Multi-Objective Decision-Making Problem: An Improvment to STEM Method Journal of Applied Mathematics |
| title | An Interactive Procedure to Solve Multi-Objective Decision-Making Problem: An Improvment to STEM Method |
| title_full | An Interactive Procedure to Solve Multi-Objective Decision-Making Problem: An Improvment to STEM Method |
| title_fullStr | An Interactive Procedure to Solve Multi-Objective Decision-Making Problem: An Improvment to STEM Method |
| title_full_unstemmed | An Interactive Procedure to Solve Multi-Objective Decision-Making Problem: An Improvment to STEM Method |
| title_short | An Interactive Procedure to Solve Multi-Objective Decision-Making Problem: An Improvment to STEM Method |
| title_sort | interactive procedure to solve multi objective decision making problem an improvment to stem method |
| url | http://dx.doi.org/10.1155/2012/324712 |
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