Algorithm rules of interval grey numbers based on different “kernel” and the degree of greyness of grey numbers
Abstract
Purpose
The purpose of this paper is to establish the algorithm rules of the interval grey numbers and propose a new ranking method of the interval grey numbers.
Design/methodology/approach
The definitions of “kernels” based on lower measure, upper measure or moderate measure are given according to the properties of the interval grey number problems. By means of the measurement error, the concept of the absolute degree of greyness and the relative degree of greyness corresponding to different “kernel” are given, and different simplified forms of the interval grey numbers are put forward.
Findings
The definitions of “kernel” and the degree of greyness in this paper not only take the upper limit, lower limit and the coverage of the interval grey numbers into account, but also avoid the inconsistency of the degree of greyness caused by the different universe of discourse.
Research limitations/implications
Though the method proposed in this paper has some deficiencies, such as the definition of relative degree of greyness is meaningless when the kernel of the interval grey number is 0, it provides a new idea for calculating and sorting the interval grey numbers and is conducive to the further development of the grey system theory.
Originality/value
The method proposed in this paper can not only distinguish interval grey numbers in different situations, but also avoid the inconsistency of the degree of greyness caused by the different universe of discourse. In this basis, the interval grey number algorithm is established and a new ranking method of interval grey numbers is given.
Keywords
Acknowledgements
This work was supported by “the key project of the National Social Science Fund”, No. 10zd&014; “Funding of Jiangsu Innovation Program for Graduate Education, the Fundamental Research Funds for the Central Universities”, No. CXLX12_0177.
Citation
Guo, S.-d., Liu, S. and Fang, Z. (2017), "Algorithm rules of interval grey numbers based on different “kernel” and the degree of greyness of grey numbers", Grey Systems: Theory and Application, Vol. 7 No. 2, pp. 168-178. https://doi.org/10.1108/GS-10-2015-0073
Publisher
:Emerald Publishing Limited
Copyright © 2017, Emerald Publishing Limited