Extension集合辨析  

Research on Extension Set

作　　者：左静[1] 

机构地区：[1]郑州工业大学数理力学系,河南郑州450002

出　　处：《郑州工业大学学报》2001年第2期20-22,共3页Journal of Zhengzhou University of Technology

基　　金：河南省软科学研究计划项目 (0 0 5 0 1470 0 )

摘　　要：xtension集合是可拓学理论的基础概念之一 .探讨Extension集合的特色和它与其它集合的关系 ,对于明晰可拓学的生存基础、研究价值和发展前景非常重要 .通过比较 3种集合对论域元素的识别与分类原则 ,指出Fuzzy集合Extension集合均以Cantor集合为基础 ,但各自又具有其它集合不可替代的独特之处 .Extension集合的特色在于它对论域元素潜在属性的识别角度和元素属性在特定变换下的可转换性的识别功能 .Extension set is one of the basic conceptions of Extenics. Researching on the essence of Extension set and relationship between it with another set is very important for clearing the existence base, study value and prospects of Extension. By comparing the taxis and distinguishing principle of Extension set with another set it is found that all sets base on Cantor set, nevertheless they have their respective peculiarity which can't be substituted each other. The peculiarity of Extension set is its identifying angle of view for the latent attribute of elements in total set and its identifying function for the elements whose attribute are convertible by a given transform.

关 键 词：Extension集合 CANTOR集合 FUZZY集合 可拓学 论域元素 关联函数 

分 类 号：O1[理学—数学] N94[理学—基础数学]