General grey numbers and their operations

Date
2012
Authors
Liu, S.
Fang, Z.
Yang, Y.
Forrest, J.
Journal Title
Journal ISSN
ISSN
2043-9377
Volume Title
Publisher
Emerald Group Publishing Ltd
Peer reviewed
Yes
Abstract
Purpose – The purpose of this paper is to advance new rules about operations of grey numbers. Design/methodology/approach – The paper first puts forward the definitions of basic element of grey number and general grey number. The operation axion, operation rules of general grey numbers and a new algebraic system for general grey numbers are built based on the “kernel” and the degree of greyness of grey numbers. Findings – Up to now, the operation of general grey numbers has been transformed to operation of real numbers; thus, the difficult problem for set up operation of general grey numbers has been solved to a certain degree. Practical implications – The method exposed in the paper can be used to integrate information from a different source. The operation of general grey numbers could be extended to the case of grey algebraic equation, grey differential equation and grey matrix which includes general grey numbers. The operation system of general grey numbers also opened a new passageway for research on grey input-output and grey programming, etc. Originality/value – The new conception of a basic element of grey number and general grey number was given for the first time in this paper. The novel operation rules of general grey numbers were also constructed. Keywords Basic element, General grey numbers, Operations, Kernel, Greyness, Number theory, Mathematical programming Paper type Research paper
Description
Keywords
Basic element, General grey numbers, Operations, Kernel, Greyness, Number theory, Mathematical programming
Citation
Liu, S., Fang, Z., Yang, Y. and Forrest, J. (2012) General grey numbers and their operations. Grey Systems: Theory and Application, 2 (3), pp. 341-349
Research Institute