Journal
APPLIED MATHEMATICAL MODELLING
Volume 36, Issue 5, Pages 1957-1963Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2011.07.074
Keywords
Three-parameter interval grey number; Bull's-eye distance; Grey-target decision-making; Optimization model
Funding
- Key Technologies R&D Program of Henan Province [072102340009]
- Natural Science of Henan's Educational Committee [2009A110011, 2011A110011]
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Based on the grey system theory and methods, the grey-target decision-making problem is discussed, in which the attribute values are grey numbers and the maximum probability of the value of grey number is known. Firstly, the optimal effect vector is the positive bull's-eye and positive bull's-eye distance of each scheme is defined. Subjectively or objectively weighting method is integrated to determine the index weight and integrated optimization model of index weight is established. Finally, the critical effect vector is the negative bull's-eye and negative bull's-eye distance of each scheme is defined, then relative bull's-eye distance and comprehensive the bull's-eye distance of grey target decision-making are given. An example is also presented to illustrate the usefulness and effectiveness of the methods obtained in this paper and provides a new idea for grey target decision-making method research. (C) 2011 Elsevier Inc. All rights reserved.
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