Eigenvector Method for Ranking Alternatives with Vague Value Measurements |
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Authors: | HOU Fu-jun and WU Qi-zong |
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Affiliation: | School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China |
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Abstract: | An eigenvector method for ranking alternatives whose measurements are given as vague values is provided.Firstly,a positive matrix is constructed which is defined as evaluation information matrix(EIM).Based on four assumptions for evaluating alternatives,a ranking eigenvector is defined.And then it is proved,based on positive matrix theory,that the EIM's eigenvector corresponding to the maximal eigenvalue is the ranking vector.For alternatives whose characteristics are presented by vague sets,the proposed te... |
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Keywords: | decision analysis vague set positive matrix eigenvector alternative ranking |
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