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1)  one direction assistant sets
单向副集
1.
According to the concept of one direction assistant sets,the concepts of one direction internal assistant sets and one direction rough assistant sets and the concepts of their eigenvalue are proposed.
根据单向副集的概念,提出单向内副集与单向粗副集的概念,单向副集、单向内副集与单向粗副集特征值的概念;提出单向副集与单向粗副集关于单向S-集合与单向S-粗集的迁移度的概念,基于这些概念给出相关的定理;最后以实例分析单向粗副集的特征值与迁移度的存在背景与应用。
2)  one direction internal assistant sets
单向内副集
1.
According to the concept of one direction assistant sets,the concepts of one direction internal assistant sets and one direction rough assistant sets and the concepts of their eigenvalue are proposed.
根据单向副集的概念,提出单向内副集与单向粗副集的概念,单向副集、单向内副集与单向粗副集特征值的概念;提出单向副集与单向粗副集关于单向S-集合与单向S-粗集的迁移度的概念,基于这些概念给出相关的定理;最后以实例分析单向粗副集的特征值与迁移度的存在背景与应用。
3)  one direction rough assistant sets
单向粗副集
1.
According to the concept of one direction assistant sets,the concepts of one direction internal assistant sets and one direction rough assistant sets and the concepts of their eigenvalue are proposed.
根据单向副集的概念,提出单向内副集与单向粗副集的概念,单向副集、单向内副集与单向粗副集特征值的概念;提出单向副集与单向粗副集关于单向S-集合与单向S-粗集的迁移度的概念,基于这些概念给出相关的定理;最后以实例分析单向粗副集的特征值与迁移度的存在背景与应用。
4)  lower pair and one-way
低副单向
5)  one direction improper singular rough sets
单向IS-粗集
1.
Discussed above,under approximate operator nature of one direction improper singular rough sets,and the relationship of improper singular rough sets,singular rough sets and rough sets.
在S-粗集理论的基础上,给出单向IS-粗集(one direction improper singular rough sets)的概念及其数学结构,并讨论了单向IS-粗集上、下近似算子的性质及IS-粗集与S-粗集和Z。
6)  one direction S-rough sets
单向S-粗集
1.
F-risk intrusion generation,F-risk intrusion loss,and F-intrusion risk degree were discussed by means of one direction S-rough sets.
基于公共突发事件的动态性和不确定性,利用单向S-粗集,定义了承灾类与承灾元的概念,讨论了承灾类F-风险入侵生成、F-风险入侵损失和F-入侵风险度。
2.
By using one direction S-rough sets,a method of one direction S-rough decision law generation is presented and the concepts of upper decision law,lower decision law,one direction S-rough decision law kernel,one direction S-rough decision law band and one direction S-rough decision law hull are proposed.
利用单向S-粗集,给出单向S-粗决策规律生成方法;给出上决策规律,下决策规律,单向S-粗决策规律核,单向S-粗决策规律带,单向S-粗决策规律壳的概念;利用这些概念,提出下决策规律传递定理,上决策规律传递定理,F-分离的属性定理,粗决策规律挖掘定理,与粗决策规律挖掘准则。
3.
S-rough sets(singular rough sets) have three forms: one direction S-rough sets(one direction singular rough sets),the dual of one direction S-rough sets(dual of one direction singular rough sets),and two direction S-rough sets(two direction singular rough sets).
S-粗集(singular rough sets)存在三种形式:单向S-粗集(one direction singular rough sets),单向S-粗集对偶(dualof one direction singular rough sets)和双向S-粗集(two direction singular rough sets)。
补充资料:低都儿低
1.低而又低,很低。
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