Standard grey potential degree and its application on uncertain decision-making

Abstract

One of the important types of decision-making theory is uncertain decision-making. It is critical to express uncertain information effectively and depose them in reasonable and simple way. Firstly this paper makes a brief overview of the existing method for recording uncertainty information, such as stochastic method, fuzzy mathematics and interval method. Then the conception of grey system theory is introduced and the conception of Grey Potential Degree is build up in the paper. And a new grey potential-based method on comparing grey number is proposed. At the same time the standard grey potential and its application is studied. It is presented by two examples, that the grey potential-based method could be used to solve the problem of comparing and sorting grey number conveniently and effectively.