Study on distance measuring and sorting method of general grey number

Abstract

Purpose

The purpose of this paper is to study distance measuring and sorting method of general grey number.

Design/methodology/approach

First, the concept of generalised grey number based on grey system theory is given in this paper. Second, from the perspective of kernel and degree of greyness of general grey number, the method of measuring the distance of general grey number and its properties are given. At the same time, the concepts of the kernel expectation and the kernel variance of the general grey number are proposed.

Findings

Up to now, the method of measuring the distance and sorting of general grey number is established. Thus, the difficult problem for set up sorting of general grey number has been solved to a certain degree.

Research limitations/implications

The method exposed in this paper can be used to integrate information form a different source. Distance measuring and sorting method of general grey number could be extended to the case of grey algebraic equation, grey differential equation and grey matrix which includes general grey numbers, etc.

Originality/value

The concepts of the kernel expectation and the kernel variance of the general grey number are proposed for the first time in this paper; the novel sorting rules of general grey numbers were also constructed.

Citation

Jiang, S.-q., Liu, S.-f., Fang, Z.-g. and Liu, Z.-x. (2017), "Study on distance measuring and sorting method of general grey number", Grey Systems: Theory and Application, Vol. 7 No. 3, pp. 320-328. https://doi.org/10.1108/GS-07-2017-0019