Stochastic Multicriteria Acceptability Analysis Based on Choquet Integral
To reflect the interactions among criteria, Choquet integral is employed to stochastic multicriteria acceptability analysis. Models are first given to roughly identify the best and worst ranking orders of each alternative, based on which the weight information spaces are explored to support some alt...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/315340 |
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| author | Meimei Xia |
| author_facet | Meimei Xia |
| author_sort | Meimei Xia |
| collection | DOAJ |
| description | To reflect the interactions among criteria, Choquet integral is employed to stochastic multicriteria acceptability analysis. Models are first given to roughly identify the best and worst ranking orders of each alternative, based on which the weight information spaces are explored to support some alternative for ranking at some position and calculate the acceptability indices of alternatives. Models are then given to analyze the characters of information spaces, which can describe what kind of information supports alternatives for ranking at some position and can give an analysis about the effect of characters on the decision result. The proposed method considers not only the interactions between two criteria, but also the interactions among three, four, and more criteria. The proposed method can be considered as an extension of the existing ones. |
| format | Article |
| id | doaj-art-b14cf293b2eb44eb8fdb324ffa5ec636 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b14cf293b2eb44eb8fdb324ffa5ec6362025-02-03T05:51:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/315340315340Stochastic Multicriteria Acceptability Analysis Based on Choquet IntegralMeimei Xia0School of Economics and Management, Beijing Jiaotong University, Beijing 100044, ChinaTo reflect the interactions among criteria, Choquet integral is employed to stochastic multicriteria acceptability analysis. Models are first given to roughly identify the best and worst ranking orders of each alternative, based on which the weight information spaces are explored to support some alternative for ranking at some position and calculate the acceptability indices of alternatives. Models are then given to analyze the characters of information spaces, which can describe what kind of information supports alternatives for ranking at some position and can give an analysis about the effect of characters on the decision result. The proposed method considers not only the interactions between two criteria, but also the interactions among three, four, and more criteria. The proposed method can be considered as an extension of the existing ones.http://dx.doi.org/10.1155/2015/315340 |
| spellingShingle | Meimei Xia Stochastic Multicriteria Acceptability Analysis Based on Choquet Integral Journal of Applied Mathematics |
| title | Stochastic Multicriteria Acceptability Analysis Based on Choquet Integral |
| title_full | Stochastic Multicriteria Acceptability Analysis Based on Choquet Integral |
| title_fullStr | Stochastic Multicriteria Acceptability Analysis Based on Choquet Integral |
| title_full_unstemmed | Stochastic Multicriteria Acceptability Analysis Based on Choquet Integral |
| title_short | Stochastic Multicriteria Acceptability Analysis Based on Choquet Integral |
| title_sort | stochastic multicriteria acceptability analysis based on choquet integral |
| url | http://dx.doi.org/10.1155/2015/315340 |
| work_keys_str_mv | AT meimeixia stochasticmulticriteriaacceptabilityanalysisbasedonchoquetintegral |