Abstract
Although the grey systems theory has been successfully utilized in many fields and demonstrates promising results, literature shows that its performance still could be improved. Remarks on grey numbers and algorithms of grey numbers need to be farther discussed. The grey number is the basic element of the grey systems theory. The algorithms of grey numbers are the foundation of grey mathematics. This chapter modifies the definition of a grey number and discusses several remarks on grey numbers. We propose a method for abstracting the information of a grey number covered set. And, we propose the algorithms of simple grey numbers, complex grey numbers and multiple grey numbers. All these works are meaningful to bringing grey mathematics to perfection, and they propose more grey applying models.
The work is partially supported by the Research Fund for the Doctoral Program of National Ministry of Education though Grant NO. 200802870020. At the same time the authors would like to acknowledge the philosophy and social science research fund of NUAA via Grant V0865-091.
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Xie, N., Liu, S. (2010). Research on the New Algorithms of Simple Grey Numbers, Complex Grey Numbers and Multiple Grey Numbers. In: Liu, S., Forrest, J.YL. (eds) Advances in Grey Systems Research. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13938-3_6
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DOI: https://doi.org/10.1007/978-3-642-13938-3_6
Publisher Name: Springer, Berlin, Heidelberg
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