1) function rough set
函数粗集
1.
By employing function rough set and its generated rough integral,the concepts of generated law,interference law and interference degree of output system were proposed.
利用函数粗集和它生成的粗积分,给出输出系统的生成规律、干扰规律与干扰度等的概念。
2) 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。
3) 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。
4) 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。
5) function one-direction SPF-rough sets
函数单向SPF-粗集
1.
Based on function S-rough sets and the randomness of function transfer,the concept of function one-direction SPF-rough sets was put forth,and their mathematical structure was given.
基于函数S-粗集,结合函数迁移的随机性,提出了函数单向SPF-粗集概念,并给出它的数学结构。
6) Sp-rough sets of variation function
变异函数Sp-粗集
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