Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons
Pairwise comparisons are an important tool of modern (multiple criteria) decision making. Since human judgments are often inconsistent, many studies have focused on the means of expressing and measuring this inconsistency, and several inconsistency indices have been proposed as an alternative to Saa...
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| Format: | Article |
| Language: | English |
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Wrocław University of Science and Technology
2018-01-01
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| Series: | Operations Research and Decisions |
| Online Access: | http://orduser.pwr.wroc.pl/DownloadFile.aspx?aid=1340 |
| _version_ | 1818385645199949824 |
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| author | Jiří Mazurek |
| author_facet | Jiří Mazurek |
| author_sort | Jiří Mazurek |
| collection | DOAJ |
| description | Pairwise comparisons are an important tool of modern (multiple criteria) decision making. Since human judgments are often inconsistent, many studies have focused on the means of expressing and measuring this inconsistency, and several inconsistency indices have been proposed as an alternative to Saaty's inconsistency index, CI, and consistency ratio, CR, for reciprocal pairwise comparison matrices. The aims of this paper are threefold: firstly, a row inconsistency index (RIC) is proposed and the properties of this index are examined. Secondly, a comparison of selected inconsistency indices for a corner pairwise comparison matrix is provided. Last, but not least, another axiom about the upper bound on the value of an inconsistency index is postulated, and a set of selected inconsistency indices is examined with respect to this axiom. Numerical examples complete the paper. (original abstract) |
| first_indexed | 2024-12-14T03:41:27Z |
| format | Article |
| id | doaj.art-ba0ddbdb04b643e09a764ad470bd95ad |
| institution | Directory Open Access Journal |
| issn | 2081-8858 2391-6060 |
| language | English |
| last_indexed | 2024-12-14T03:41:27Z |
| publishDate | 2018-01-01 |
| publisher | Wrocław University of Science and Technology |
| record_format | Article |
| series | Operations Research and Decisions |
| spelling | doaj.art-ba0ddbdb04b643e09a764ad470bd95ad2022-12-21T23:18:29ZengWrocław University of Science and TechnologyOperations Research and Decisions2081-88582391-60602018-01-01vol. 28no. 12742171520385Some Notes on the Properties of Inconsistency Indices in Pairwise ComparisonsJiří Mazurek0Silesian University in Opava, Czech RepublicPairwise comparisons are an important tool of modern (multiple criteria) decision making. Since human judgments are often inconsistent, many studies have focused on the means of expressing and measuring this inconsistency, and several inconsistency indices have been proposed as an alternative to Saaty's inconsistency index, CI, and consistency ratio, CR, for reciprocal pairwise comparison matrices. The aims of this paper are threefold: firstly, a row inconsistency index (RIC) is proposed and the properties of this index are examined. Secondly, a comparison of selected inconsistency indices for a corner pairwise comparison matrix is provided. Last, but not least, another axiom about the upper bound on the value of an inconsistency index is postulated, and a set of selected inconsistency indices is examined with respect to this axiom. Numerical examples complete the paper. (original abstract)http://orduser.pwr.wroc.pl/DownloadFile.aspx?aid=1340 |
| spellingShingle | Jiří Mazurek Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons Operations Research and Decisions |
| title | Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons |
| title_full | Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons |
| title_fullStr | Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons |
| title_full_unstemmed | Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons |
| title_short | Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons |
| title_sort | some notes on the properties of inconsistency indices in pairwise comparisons |
| url | http://orduser.pwr.wroc.pl/DownloadFile.aspx?aid=1340 |
| work_keys_str_mv | AT jirimazurek somenotesonthepropertiesofinconsistencyindicesinpairwisecomparisons |