Grey enterprise input-output analysis |
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Authors: | Qiao-Xing Li Si-Feng LiuYi Lin |
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Institution: | a School of Management, Lanzhou University, Lanzhou, Gansu Province, 730000, PR Chinab College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu Province, 210016, PR Chinac School of Business Administration, South China University of Technology, Guangzhou, Guangdong Province, 510641, PR Chinad Department of Mathematics, Slippery Rock University, Slippery Rock, PA 16057, USA |
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Abstract: | A system whose information is partially known and partially unknown to the investigator is named a grey system. Due to various inevitable noises contained in the process of data collection, managers of enterprise usually have to deal with poor information and make decisions under the influence of uncertainty. In this article, we propose grey enterprise input-output analysis. The value and the physical types of grey models are established. In particular, we present a detailed way of calculating the matrix-covered set of the inverse of grey triangular matrix. The proposed method makes the management of enterprises more practically possible when the available data contains uncertainty. At the end, we look at a case study to show the practical feasibility of our work. |
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Keywords: | Grey system theory Enterprise input-output analysis Grey triangular matrix Matrix-covered set Inverse of grey matrix Uncertainty |
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