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Stereo decision making method for interval number based on orthogonal experimental design


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Stereo decision making method for interval number based on orthogonal experimental design
Chang Zhipeng12Cheng Longsheng1
1.School of Economics and Management,NUST,Nanjing 210094,China; 2.School of Business,Anhui University of Technology,Maanshan 243002,China
orthogonal experiments interval numbers orthogonal arrays hyper rectangles relative entropies similarity degrees multi-dimension real numbers decision vectors
To decrease the loss of decision making information,a stereo decision making method is proposed for the interval number decision making problem.An m-dimension interval number decision making vector is regarded as a hyper rectangle with 2m vertices.s vertices are selected equably and dispersedly from the hyper rectangle using an Ls(2m)orthogonal array to represent the hyper rectangle.The difference between two hyper rectangles is measured by the relative entropies between the corresponding vertices of the hyper rectangles.All decision alternatives are ranked using the degree of similarity between every decision alternative and ideal solution.An illustrative example is given to demonstrate the feasibility and validity of the proposed method.The decision making information and calculation is increased because of selecting many multi-dimension real numbers to represent interval number decision vectors.


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Last Update: 2014-12-31