Distance measuring and sorting method of general grey number based on kernel and grey degree

Abstract

Firstly, aiming at the characteristics of accuracy and complexity of uncertain information representation. the interval grey number extended the general grey number. Then, the concept of extended general grey number is put forward based on grey number theory, which is used to represent complex uncertain information. Secondly, according to the essence of the kernel and degree of greyness of general grey number, the basic method of reducing general grey number to interval grey number is given. Thirdly, the measurement method of general grey number distance is given based on the essential characteristics of kernel and grey degree and Euclidean metric. Finally, from perspective of expectation and variance, the concept of kernel expectation and kernel variance of general grey number is put forward, and the ranking method of general grey number is given.