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S-粗集与新金属材料发现(Ⅰ)
引用本文:史开,颜建军,陈淑珍. S-粗集与新金属材料发现(Ⅰ)[J]. 山东大学学报(工学版), 2005, 35(4): 91-98
作者姓名:史开  颜建军  陈淑珍
作者单位:1. 三明学院,数学与计算机系,福建,三明,365004;山东大学,数学与系统科学学院,山东,济南,250100
2. 三明学院,数学与计算机系,福建,三明,365004
基金项目:福建省自然科学基金项目(A04100262051049),山东省自然科学基金项目(Y2004A04)
摘    要:给出遗传知识,S-粗集的遗传概念;提出S-粗集的F-遗传定理,-F-遗传定理,(F,-F)-遗传定理;讨论了(F,-F)-遗传与F-遗传的关系,(F,-F)-遗传与-F-遗传的关系.利用这些结果,本文给出属性值遗传的概念,提出属性值遗传链定理和属性遗传定理,这些结果是研究金属遗传特性的重要理论准备,这些结果在讨论金属遗传特性(本文第Ⅱ部分)中得到了应用.S-粗集的遗传特性与金属的遗传特性之间潜藏着密切的联系.

关 键 词:S-粗集  属性基因  属性值  遗传知识  遗传定理  属性遗传原理
文章编号:1672-3961(2005)04-0091-08
修稿时间:2004-07-18

S-rough sets and new metal materials discovery (Ⅰ)
SHI Kai-quan,YAN Jian-jun,CHEN Shu-zhen. S-rough sets and new metal materials discovery (Ⅰ)[J]. Journal of Shandong University of Technology, 2005, 35(4): 91-98
Authors:SHI Kai-quan  YAN Jian-jun  CHEN Shu-zhen
Affiliation:SHI Kai-quan~ 2,1,YAN Jian-jun~2,CHEN Shu-zhen~2
Abstract:Gives the concept of genetic knowledge, S-rough set heredity; gives F- genetic theorem, - genetic theorem, (F,)- genetic theorem of S-rough set; discusses the relation between (F,)- heredity and F- heredity, (F,)- heredity and - heredity respectively. By these results, this paper puts forward the concept of attribution value heredity, expounds attribution value genetic chain theorem and attribution heredity theorem, these results are the theory preparations of research of metal genetic characteristics, these results have been applied in the discussion of metal genetic characteristics (the second part of this paper). There are many close relations between the genetic characteristics of S-rough set and the genetic characteristics of metal.
Keywords:S-rough set  attribution gene  attribution value  genetic knowledge  genetic theorem  attribution genetic principal
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