Grey enterprise input–output analysis

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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.

Keywords

Grey system theory
Enterprise input–output analysis
Grey triangular matrix
Matrix-covered set
Inverse of grey matrix
Uncertainty

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Supported by special grade of China Postdoctoral Science Foundation funded project (No. 200902321).