Approaches to Improving Consistency of Interval Fuzzy Preference Relations
This article introduces a consistency index for measuring the consistency level of an interval fuzzy preference relation（IFPR）.An approach is then proposed to construct an additive consistent IFPR from a given inconsistent IFPR.By using a weighted averaging method combining the original IFPR and the...
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| Veröffentlicht in: | Journal of systems science and systems engineering 2014-12, Vol.23 (4), p.460-479 |
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| container_title | Journal of systems science and systems engineering |
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| creator | Qian, Wu-Yong Li, Kevin W. Wang, Zhou-Jing |
| description | This article introduces a consistency index for measuring the consistency level of an interval fuzzy preference relation（IFPR）.An approach is then proposed to construct an additive consistent IFPR from a given inconsistent IFPR.By using a weighted averaging method combining the original IFPR and the constructed consistent IFPR,a formula is put forward to repair an inconsistent IFPR to generate an IFPR with acceptable consistency.An iterative algorithm is subsequently developed to rectify an inconsistent IFPR and derive one with acceptable consistency and weak transitivity.The proposed approaches can not only improve consistency of IFPRs but also preserve the initial interval uncertainty information as much as possible.Numerical examples are presented to illustrate how to apply the proposed approaches. |
| doi_str_mv | 10.1007/s11518-014-5259-4 |
| format | Article |
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Syst. Sci. Syst. Eng</addtitle><addtitle>Journal of Systems Science and Systems Engineering</addtitle><description>This article introduces a consistency index for measuring the consistency level of an interval fuzzy preference relation（IFPR）.An approach is then proposed to construct an additive consistent IFPR from a given inconsistent IFPR.By using a weighted averaging method combining the original IFPR and the constructed consistent IFPR,a formula is put forward to repair an inconsistent IFPR to generate an IFPR with acceptable consistency.An iterative algorithm is subsequently developed to rectify an inconsistent IFPR and derive one with acceptable consistency and weak transitivity.The proposed approaches can not only improve consistency of IFPRs but also preserve the initial interval uncertainty information as much as possible.Numerical examples are presented to illustrate how to apply the proposed approaches.</description><subject>Complexity</subject><subject>Consistency</subject><subject>Economic Theory/Quantitative Economics/Mathematical Methods</subject><subject>Engineering</subject><subject>Iterative algorithms</subject><subject>Iterative methods</subject><subject>Operations Research/Decision Theory</subject><subject>一致性指标</subject><subject>不确定性</subject><subject>加权平均法</subject><subject>区间</subject><subject>改革</subject><subject>模糊偏好关系</subject><subject>添加剂</subject><subject>迭代算法</subject><issn>1004-3756</issn><issn>1861-9576</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp9kEtPwzAQhCMEEuXxA7hFcA7Yidexj1XFowgJhOBsOdY6pLROa6eQ8OsxCqI3TuuV55vRTpKcUXJJCSmvAqVARUYoyyAHmbG9ZEIFp5mEku_HNyEsK0rgh8lRCAtCCi4pmST30_Xat9q8YUi7Np2v4vbRuDqdtS40oUNnhrS16dx16D_0Mr3Zfn0N6ZNHiz5-YvqMS901UX2SHFi9DHj6O4-T15vrl9ld9vB4O59NHzLDJHQZGoDCGo6VBKyEwcpQrq1mVWFLq4UobME1QWpzADRVJSkIyhlIIYCwsjhOLkffT-2sdrVatFvvYqLqu_d-6Lva9JXCPHZBGCEQgYsRiLdtthi6HZHLWFIOjPOooqPK-DaEeJ9a-2al_aAoUT8dq7FjFX3VT8eKRSYfmRC1rka_c_4POv8NemtdvYncXxLnjMhSAC2-AQ6civg</recordid><startdate>20141201</startdate><enddate>20141201</enddate><creator>Qian, Wu-Yong</creator><creator>Li, Kevin W.</creator><creator>Wang, Zhou-Jing</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><general>School of Business, Jiangnan University, Wuxi, Jiangsu 214122, China%OdetteSchool of Business, University of Windsor, Windsor, OntarioN9B 3P4, Canada%School of Information, Zhejiang University of Finance & Economics, Hangzhou, Zhejiang 310018, China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20141201</creationdate><title>Approaches to Improving Consistency of Interval Fuzzy Preference Relations</title><author>Qian, Wu-Yong ; 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| subjects | Complexity Consistency Economic Theory/Quantitative Economics/Mathematical Methods Engineering Iterative algorithms Iterative methods Operations Research/Decision Theory 一致性指标 不确定性 加权平均法 区间 改革 模糊偏好关系 添加剂 迭代算法 |
| title | Approaches to Improving Consistency of Interval Fuzzy Preference Relations |
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