Grey enterprise input-output analysis

被引:20
作者
Li, Qiao-Xing [1 ,2 ,3 ]
Liu, Si-Feng [2 ]
Lin, Yi [2 ,4 ]
机构
[1] Lanzhou Univ, Sch Management, Lanzhou 730000, Gansu, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Coll Econ & Management, Nanjing 210016, Jiangsu, Peoples R China
[3] S China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China
[4] Slippery Rock Univ, Dept Math, Slippery Rock, PA 16057 USA
基金
中国博士后科学基金;
关键词
Grey system theory; Enterprise input-output analysis; Grey triangular matrix; Matrix-covered set; Inverse of grey matrix; Uncertainty; SYSTEM-THEORY; MODEL;
D O I
10.1016/j.cam.2011.10.018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:1862 / 1875
页数:14
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