摘要
研究表现外延和反馈外延的一些重要性质 .证明了复杂概念和简单概念之间的表现外延关于投影和柱体扩张具有包含关系 .分析表现外延在复杂因素和简单因素上的投影和柱体扩张 ,进而讨论了因素充分性的一个充要条件 .证明了一个概念的对立概念的反馈外延包含该概念的反馈外延的余 .
Some properties of representation extension and feedback extension are studied. Firstly, via discussing several properties of projection and cylindrical extension of representation extension, it is proved that there are some containing relationships between projection (cylindrical extension) of representation extension of complex concepts and simple concepts. Secondly, the relationships between projection (cylindrical extension) of representation extension from complex and simple factors are analyzed. Furthermore, the sufficient and essential conditions of the sufficiency of a factor are discussed. Finally, it is shown that the remainder of feedback extension of a concept is contained in the feedback extension of its converse concept.
出处
《北京师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2004年第3期292-296,共5页
Journal of Beijing Normal University(Natural Science)
基金
国家自然科学基金资助项目 (60 1740 13 )
教育部博士点基金资助项目(2 0 0 2 0 0 2 70 13 )
教育部科学技术重点项目(0 3 184)
国家"九七三"重大基础研究计划资助项目(2 0 0 2CB3 12 2 0 0 )
关键词
因素
因素空间
描述架
表现外延
反馈外延
factor
factor spaces
description frames
representation extension
feedback extension