CAJ | 학술논문

从宏观的角度研究集合不容易发现元素之间的关系,并且不可避免地带来人为的随意性和不确定性.从微观元素的相似性出发,首先建立了在模糊等价关系上的等价类以及模糊等价关系上的粗糙集,研究了相似程度参数的合理取值范围问题,提出并证明了粗糙集算子的计算定理,然后论述了模糊等价关系上的粗糙集与经典粗糙集的关系,发现并研究了经典粗糙理论处理相同元素时会出现的元素分类不一致问题,最后给出了经典粗糙集算子的计算方法.
종굉관적각도연구집합불용역발현원소지간적관계,병차불가피면지대래인위적수의성화불학정성.종미관원소적상사성출발,수선건립료재모호등개관계상적등개류이급모호등개관계상적조조집,연구료상사정도삼수적합리취치범위문제,제출병증명료조조집산자적계산정리,연후논술료모호등개관계상적조조집여경전조조집적관계,발현병연구료경전조조이론처리상동원소시회출현적원소분류불일치문제,최후급출료경전조조집산자적계산방법.
It is not easy to find the relationship between each element in an aggregate from a macro point of view,which inevitably brings incertitude.So similarity relationship between elements is analyzed form a microcosmic point of flew.Firstly,rough set model based on fuzzy equivalence relation is established.Then the reasonable range of similarity parameter is discussed,a theorem of computing rough set arithmetic operator is put forward and proved,the variance when sort similar elements by using Pawlak rough set is discovered and solved,the connection between Pawlak rough set and rough set based on fuzzy equivalence relation is discussed.At the end an algorithm is given for computing Pawlak rough set operator.