摘要
从集合概念的内涵出发,剖析了单值集——Cantor集合、Fuzzy集合、Rough集合、可拓集合概念的内涵;剖析了复值集——Grey集合、未确知集合、Vague集合、泛灰(UG)集合和广义泛灰(GUG)集合的内涵;从而得出广义泛灰集合是内涵最深的集合概念;它具有极强的描述能力,可以描述客观存在的一切现象,故又是外延最广的集合概念.
From the meaning of sets, the paper analyses the meaning of the Single Value Sets,which includes Cantor Sets, Fuzzy Sets, Rough Sets and Extension Sets. It＇s also analyses the meaning of the Complex Value Sets, which includes Grey Sets, Unascertained Sets, Vague Sets. Universal Grey Sets and Generaliged Unlrersal Grey Sets. From which, it concludes that the Generaliged Universal Grey Sets is the deepest meaning of sets, and it has the stronger describing capability. It can describe all impersonality phenomenon, so it＇s the most extensive sets conception.
出处
《数学的实践与认识》
CSCD
北大核心
2005年第7期224-231,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金资助课题(70271006)
河北省社科规划项目(2002020006)
