摘要
基于对已有的几种灰数灰度定义的讨论 ,建立了灰数灰度定义的公理系统 ;以灰数灰度定义公理为准绳 ,由灰数产生的背景或论域及灰数取数域的测度构造出一种新的灰数灰度定义式。新定义克服了原有定义中存在的问题 。
In this paper, an axiomatic system for the definition of degree of greyness of grey number is built based on discussion with two definitions of degree of greyness of grey number which have been put forward in the past. Taking axioms as the criterion for definition of degree of grayness of grey number, a new formula for definition of degree of grayness of grey number has been formed with measure of the right range of grey number and the background or field which is brought about by the grey number.The degree of uncertainty of grey number is described scientifically, and some problems present in old definitions have been surmounted in new definition.
出处
《中国工程科学》
2004年第8期91-94,共4页
Strategic Study of CAE
基金
国家教育部博士学科点科研基金资助项目 ( 2 0 0 2 0 2 870 0 1)
江苏省自然科学基金重点课题 (BK2 0 0 3 2 11)
关键词
灰色系统
灰数灰度
测度
公理化定义
grey systems
degree of greyness of grey number
measure
axiomatic definition
