Goal programming approaches to obtain the priority vectors from the intuitionistic fuzzy preference relations
The priority method on the intuitionistic fuzzy preference relation (IFPR) is proposed. In order to avoid the operational difficulty in dealing with the intuitionistic sets, the equivalent interval matrices of the IFPR are introduced. Based on the multiplicative consistent definition of the fuzzy in...
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| Veröffentlicht in: | Computers & industrial engineering 2009-11, Vol.57 (4), p.1187-1193 |
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| container_title | Computers & industrial engineering |
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| creator | Gong, Zai-Wu Li, Lian-Shui Zhou, Fei-Xue Yao, Tian-Xiang |
| description | The priority method on the intuitionistic fuzzy preference relation (IFPR) is proposed. In order to avoid the operational difficulty in dealing with the intuitionistic sets, the equivalent interval matrices of the IFPR are introduced. Based on the multiplicative consistent definition of the fuzzy interval preference relation (FIPR), the goal programming models for deriving the priority vector of the IFPR have been put forward by analyzing the relation between the IFNPR and the IFPR. This goal programming method is generalized to the case of group decision making with the weight information defined by each DM. Two numerical examples are provided to illustrate the application of the proposed models. |
| doi_str_mv | 10.1016/j.cie.2009.05.007 |
| format | Article |
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Two numerical examples are provided to illustrate the application of the proposed models.</description><subject>Correlation analysis</subject><subject>Decision making units</subject><subject>Fuzzy logic</subject><subject>Goal programming</subject><subject>Intuitionistic fuzzy sets</subject><subject>Preference relation</subject><subject>Preferences</subject><subject>Priority</subject><subject>Studies</subject><issn>0360-8352</issn><issn>1879-0550</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNp9kMFu1DAQhi0EEkvhAbhZHLglzMQZOxEnVEFBqsQFzpbXmW29SuJiO5W2T4-X5cSBkzWa7x_5_4R4i9AioP5wbH3gtgMYW6AWwDwTOxzM2AARPBc7UBqaQVH3UrzK-QgAPY24E8tNdLN8SPEuuWUJ6510D3Vy_p6zLFHGfXFhleWeKxRiCuUkH9mXmLI8pLj82YS1bKGEuIZcgpeH7enpVHE-cOLVs0w8u_M6vxYvDm7O_ObveyV-fvn84_prc_v95tv1p9vGK6LSDNPeOJ7QKECFej84TVrT2CutvQYkg50mN9Gg2RntB02-R-o1ImvUk7oS7y93a5VfG-dil5A9z7NbOW7Zqn40mrqugu_-AY9xS2v9m-1QGQI0VCG8QD7FnGstW1UsLp0sgj3bt0db7duzfQtkq_2a-XjJcK35GDjZXJEqYwqp6rNTDP9J_wafhY2_</recordid><startdate>20091101</startdate><enddate>20091101</enddate><creator>Gong, Zai-Wu</creator><creator>Li, Lian-Shui</creator><creator>Zhou, Fei-Xue</creator><creator>Yao, Tian-Xiang</creator><general>Elsevier Ltd</general><general>Pergamon Press Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20091101</creationdate><title>Goal programming approaches to obtain the priority vectors from the intuitionistic fuzzy preference relations</title><author>Gong, Zai-Wu ; Li, Lian-Shui ; Zhou, Fei-Xue ; Yao, Tian-Xiang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c355t-8db7aed17301316b8a6566594366c601571265ad586ea76c865c4154611e616d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Correlation analysis</topic><topic>Decision making units</topic><topic>Fuzzy logic</topic><topic>Goal programming</topic><topic>Intuitionistic fuzzy sets</topic><topic>Preference relation</topic><topic>Preferences</topic><topic>Priority</topic><topic>Studies</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Gong, Zai-Wu</creatorcontrib><creatorcontrib>Li, Lian-Shui</creatorcontrib><creatorcontrib>Zhou, Fei-Xue</creatorcontrib><creatorcontrib>Yao, Tian-Xiang</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Computers & industrial engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Gong, Zai-Wu</au><au>Li, Lian-Shui</au><au>Zhou, Fei-Xue</au><au>Yao, Tian-Xiang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Goal programming approaches to obtain the priority vectors from the intuitionistic fuzzy preference relations</atitle><jtitle>Computers & industrial engineering</jtitle><date>2009-11-01</date><risdate>2009</risdate><volume>57</volume><issue>4</issue><spage>1187</spage><epage>1193</epage><pages>1187-1193</pages><issn>0360-8352</issn><eissn>1879-0550</eissn><coden>CINDDL</coden><abstract>The priority method on the intuitionistic fuzzy preference relation (IFPR) is proposed. 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| subjects | Correlation analysis Decision making units Fuzzy logic Goal programming Intuitionistic fuzzy sets Preference relation Preferences Priority Studies |
| title | Goal programming approaches to obtain the priority vectors from the intuitionistic fuzzy preference relations |
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