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| An Alternative Ranking Method Based on Deviation Degree of Interval Numbers |
| XU Yan-Xia,LI De-Yu,HU Jian-Long |
| Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education,School of Computer Information Technology,Shanxi University,Taiyuan 030006 |
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Abstract For the alternative ranking problem with attribute values being interval numbers, the concept of deviation degree of two interval numbers is presented to construct the deviation degree matrix for alternatives and a method to determine weight vector based on the total deviation degree optimization is proposed as well in this paper. By using the proposed concept of relative closeness degree of interval number vectors, the degree of an alternative close to another is depicted, and thereby the merit of alternatives are ranked. The proposed measures of this method are intuitive and easy to understand, and an illustrative example is employed to demonstrate its feasibility and practicability.
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Received: 12 May 2009
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2010, Vol. 23 
