1) function S-rough sets
函数S-粗集
1.
Interval decomposition of function S-rough sets;
函数S-粗集的区间分解
2.
By using function S-rough sets and rough law generation method based on function S-rough sets,this paper proposes the concepts of f-decomposition law,F-decomposition rough law,attributes f-interference degree,attributes F-upper interference degree,F-lower interference degree,etc.
函数S-粗集具有规律特性、动态特性;利用函数S-粗集和基于函数S-粗集的粗规律生成方法,给出f-分解规律,F-分解粗规律,属性f-扰动度,属性F-下扰动度,属性F-上扰动度等概念;利用这些概念,提出规律f-分解定理,属性f-扰动度定理,粗规律F-扰动度定理,给出粗规律F-分解识别的基本原理,并给出应用实例。
3.
The authors briefly analyze the present situation of Pawlak Rough sets, and emphatically introduce the definitions of S-rough sets and Function S-rough sets, two mathematical structures and the dual forms.
针对Pawlak粗集理论的现况,着重介绍了S-粗集、函数S-粗集的定义、两种结构及对偶形式,详细讨论了S-粗集与Pawlak粗集之间的关系,函数S-粗集与S-粗集、Pawlak粗集之间的关系。
2) function one direction S-rough sets
函数单向S-粗集
1.
Function one direction S-rough sets(function one direction singular rough sets) was defined by the R-function equivalent class [u],which has dynamic characteristic,and the function one direction S-rough sets has law(function) characteristic.
函数单向S-粗集(Function one direction singular rough sets)是用具有动态特性的R-函数等价类[u]定义的,函数单向S-粗集具有规律(函数)特征。
2.
Based on the functions generated from the upper approximation and the lower approximation in function one direction S-rough sets,the concept and characteristics of rough area and double rough integrals were given.
以函数单向S-粗集的上、下近似生成的函数为基础,提出了粗区域的概念,进而提出基于函数单向S-粗集的二重粗积分的概念,研究其性质得出了二重粗积分是普通二重积分、一元粗积分的推广。
3.
Using function one direction S-rough sets(function one direction singular rough sets),this paper presents the concepts of fp-state,the distance of state,and the system state being randomly disturbed by fp-law.
利用函数单向S-粗集,提出了fp-状态、状态距离、系统状态被fp-规律随机入侵的概念。
3) function one-direction S-rough sets
函数单向S-粗集
1.
An F-model generated by function one-direction S-rough sets;
函数单向S-粗集生成的F-模型
2.
It was proved that a function one-direction SPF-rough set was the generalization of function one-direction SPF-rough sets,and the function one-direction S-rough sets was a special case of function one-direction SPF-rough sets according to t.
证明了在概率的意义下,函数单向SPF-粗集是函数S-粗集,函数单向S-粗集的推广;函数S-粗集,函数单向S-粗集是函数单向SPF-粗集的特例。
4) function two direction S-rough sets
函数双向S-粗集
1.
Probability characteristic of function two direction S-rough sets
函数双向S-粗集的信度特征
5) dual of function one direction S-rough sets
函数单向S-粗集对偶
1.
■-model generated by dual of function one direction S-rough sets
函数单向S-粗集对偶生成的■-模型
2.
Using dual of function one direction S-rough sets(Dual of function one direction singular rough sets),this paper presents the concepts of p-state,the distance of state,and the system state being randomly disturbed by p-law.
函数单向S-粗集对偶是函数S-粗集(function singular rough sets)的基本形式之一。
3.
Based on functions generated from the upper approximation and the lower approximation in dual of function one direction S-rough sets,the definition of rough area,and the definition of double rough integrals was given and there dynamic characteristics were pointed out.
以函数单向S-粗集对偶的上、下近似生成的函数为基础,提出了粗区域的定义,二重粗积分的定义及其动态特征,通过动态特征给出了扩张度和扩张率的概念,并且通过计算扩张度和扩张率来度量系统受干扰的程度。
6) dual of founction one direction singular rough sets
单向函数S-粗集对偶
补充资料：集函数
集函数
countably - additive set function
集函数l①untably一additive set function」.【补注】设E为集合X生_的J代数，则在E上的}可能取值+叨的)非负函数拜是一个加性(additive)(_有限加性(f饭nitely一add;tive)，可数加性(countably一ad-ditive))测度(measure)，是指对于E的任意(有限，可数)个互不相交的集合E，条件(*)成立. 通常所说的测度(meas盯e)都是指可数加性测度.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条