On computational algorithms of grey numbers based on information background

Abstract

Purpose

The purpose of this paper is to redefine the concept of grey number with information background and to propose novel grey number algorithms.

Design/methodology/approach

As the basic element of a grey system, grey number is defined as a number of which the true value is unknown because of the limited information while the boundary or possible value set can be known. Grey number algorithms are key points for constructing grey system models and helping to calculate model results. The concept of grey number is redefined with information background in this paper. Novel grey number algorithms are defined considering all the different forms of grey number information background. Several illustrative examples are applied to state the process of the proposed algorithms.

Findings

The results show that the novel grey number algorithms can do the operations well no matter what the grey number's type. It is useful to create effective grey system models and to do system analysis, forecasting, decision making and control in grey systems.

Practical implications

The method exposed in the paper can be used to calculate different grey numbers and used in constructing new grey models.

Originality/value

The paper succeeds in defining new grey number algorithm. The concept and its remarks of grey number are discussed. The novel algorithm can be used in creating new grey models and solve the modelling parameters in of grey systems theory undoubtedly.

Citation

Xie, N. (2013), "On computational algorithms of grey numbers based on information background", Grey Systems: Theory and Application, Vol. 3 No. 2, pp. 177-190. https://doi.org/10.1108/GS-11-2012-0044