Detecting and adjusting ordinal and cardinal inconsistencies through a graphical and optimal approach in AHP models
Saved in:
| Title: | Detecting and adjusting ordinal and cardinal inconsistencies through a graphical and optimal approach in AHP models |
|---|---|
| Authors: | Li, Han-Lin1 hlli@cc.nctu.edu.tw, Ma, Li-Ching1,2 lcma@nuu.edu.tw |
| Source: | Computers & Operations Research. Mar2007, Vol. 34 Issue 3, p780-798. 19p. |
| Subjects: | Operations research, Matrices (Mathematics), Decision making, Industrial engineering |
| Abstract: | Abstract: An AHP model suffering from significant cardinal or/and ordinal inconsistencies in its preference matrix is difficult to rank rationally the alternatives. This study proposes an iterative method to assist a decision maker to detect/adjust inconsistencies and to represent his/her judgments properly. A Gower plot is first used to detect ordinal and cardinal inconsistencies. Two optimization models are then constructed to provide suggeted adjustments upon the request of the decision maker. By examining the Gower plots and numerical suggestions, the decision maker may revise iteratively the preference ratios to improve inconsistencies until all alternatives are ranked. [Copyright &y& Elsevier] |
| Copyright of Computers & Operations Research is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 22281646 AccessLevel: 6 PubType: Periodical PubTypeId: serialPeriodical PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Detecting and adjusting ordinal and cardinal inconsistencies through a graphical and optimal approach in AHP models – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Li%2C+Han-Lin%22">Li, Han-Lin</searchLink><relatesTo>1</relatesTo><i> hlli@cc.nctu.edu.tw</i><br /><searchLink fieldCode="AR" term="%22Ma%2C+Li-Ching%22">Ma, Li-Ching</searchLink><relatesTo>1,2</relatesTo><i> lcma@nuu.edu.tw</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computers+%26+Operations+Research%22">Computers & Operations Research</searchLink>. Mar2007, Vol. 34 Issue 3, p780-798. 19p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Operations+research%22">Operations research</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Decision+making%22">Decision making</searchLink><br /><searchLink fieldCode="DE" term="%22Industrial+engineering%22">Industrial engineering</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: An AHP model suffering from significant cardinal or/and ordinal inconsistencies in its preference matrix is difficult to rank rationally the alternatives. This study proposes an iterative method to assist a decision maker to detect/adjust inconsistencies and to represent his/her judgments properly. A Gower plot is first used to detect ordinal and cardinal inconsistencies. Two optimization models are then constructed to provide suggeted adjustments upon the request of the decision maker. By examining the Gower plots and numerical suggestions, the decision maker may revise iteratively the preference ratios to improve inconsistencies until all alternatives are ranked. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Computers & Operations Research is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=22281646 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.cor.2005.05.010 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 19 StartPage: 780 Subjects: – SubjectFull: Operations research Type: general – SubjectFull: Matrices (Mathematics) Type: general – SubjectFull: Decision making Type: general – SubjectFull: Industrial engineering Type: general Titles: – TitleFull: Detecting and adjusting ordinal and cardinal inconsistencies through a graphical and optimal approach in AHP models Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Li, Han-Lin – PersonEntity: Name: NameFull: Ma, Li-Ching IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2007 Type: published Y: 2007 Identifiers: – Type: issn-print Value: 03050548 Numbering: – Type: volume Value: 34 – Type: issue Value: 3 Titles: – TitleFull: Computers & Operations Research Type: main |
| ResultId | 1 |
