Prediction Modeling Method of Interval Grey Number Based on Different Type Whitenization Weight Functions

Abstract:

The modeling objects of existing prediction models for interval grey number are limited to the interval grey number sequences with unknown or the same type of whitenization weight function. Therefore, the existing methods are useless when the types of whitenization weight function of interval grey number in the modeling sequence are heterogeneous. On the basis of the existing prediction models for interval grey number and according to the axiom of undecreased degree of greyness and grey number, the present paper build a prediction model for interval grey number based on different types of whitenization weight functions through expanding the calculation of "kernel and grey degree" of the interval grey number. At last, this model was applied in forecasting the demand for emergency materials in disaster. The research results are significant for enriching and perfecting the grey prediction model theory system, and extending the applied scope of grey models and promoting the effective association of the grey theory and the practical issues.

• Periodical: Applied Mechanics and Materials (Volumes 411-414)
• Pages: 2074-2080
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.411-414.2074
• Online since: September 2013
• Authors: Lian Ming Zhao, Bo Zeng
• Keywords: Gray Theory, Grey Degree, Interval Grey Number Prediction Model, Kernel, Whitenization Weight Function

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