【作者】 朱平； 马志峰； 邢汉承； 何新贵；

【机构】 北京电子技术研究所； 东南大学； 北京系统工程研究所；

【摘要】 <正>1引言模糊数是精确数的模糊化概念,模糊数集合上的关系也是精确数集合上的关系的模糊化概念。在模糊数的集合FS上,两个集合元素均为模糊数,它们之间的不等关系也是模糊的,更多还原

【Abstract】 This paper proposes the concept of recognition degree,and presents the calculation methods of the recognition degree of intervals and fuzzy numbers.By the concept of the recognition degree,the paper fuzzifies the inequality relations of set theories.The paper also discusses the characters of logic operations of fuzzy inequality relations,such as union,intersection,and complement operation,they seem to be reasonable with respective to exact sets.The paper also researches that the fuzzy inequality relations are reflexive,antireflexive,symmetric,antisymmetric,transitive or not,and proves that most of the characters similar to the characters of exact inequality relations,which means that the fuzzy inequality relations are"syntactic"reasonable.更多还原