山东大学学报(理学版)
山東大學學報(理學版)
산동대학학보(이학판)
JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
2014年
8期
15-21
,共7页
区间概念格%关系相似度%覆盖近邻空间
區間概唸格%關繫相似度%覆蓋近鄰空間
구간개념격%관계상사도%복개근린공간
interval concept lattice%similarity degree of relationship%covering-neighborhood-space
针对区间概念格的复杂结构以及基于现有建格算法构建的区间概念格存在概念冗余问题,本文直接从形式背景出发,对区间概念格进行动态压缩的方法,减少了区间概念结点的冗余度。为了保证概念压缩后仍能体现概念之间的关联关系,首先给出了基于形式背景的二元关系对的相似度及关系上的覆盖近邻空间的定义;其次,通过定义区间概念压缩算子,得到了压缩概念,并证明了压缩后的概念集是压缩前概念集的子集;基于覆盖的近邻空间及压缩算子,进一步构建了区间概念格的动态压缩模型。可以根据相似类阈值大小控制区间概念格中的结点数量,实现区间概念格的动态压缩,最后通过实例验证了模型的正确性以及压缩的高效性。
針對區間概唸格的複雜結構以及基于現有建格算法構建的區間概唸格存在概唸冗餘問題,本文直接從形式揹景齣髮,對區間概唸格進行動態壓縮的方法,減少瞭區間概唸結點的冗餘度。為瞭保證概唸壓縮後仍能體現概唸之間的關聯關繫,首先給齣瞭基于形式揹景的二元關繫對的相似度及關繫上的覆蓋近鄰空間的定義;其次,通過定義區間概唸壓縮算子,得到瞭壓縮概唸,併證明瞭壓縮後的概唸集是壓縮前概唸集的子集;基于覆蓋的近鄰空間及壓縮算子,進一步構建瞭區間概唸格的動態壓縮模型。可以根據相似類閾值大小控製區間概唸格中的結點數量,實現區間概唸格的動態壓縮,最後通過實例驗證瞭模型的正確性以及壓縮的高效性。
침대구간개념격적복잡결구이급기우현유건격산법구건적구간개념격존재개념용여문제,본문직접종형식배경출발,대구간개념격진행동태압축적방법,감소료구간개념결점적용여도。위료보증개념압축후잉능체현개념지간적관련관계,수선급출료기우형식배경적이원관계대적상사도급관계상적복개근린공간적정의;기차,통과정의구간개념압축산자,득도료압축개념,병증명료압축후적개념집시압축전개념집적자집;기우복개적근린공간급압축산자,진일보구건료구간개념격적동태압축모형。가이근거상사류역치대소공제구간개념격중적결점수량,실현구간개념격적동태압축,최후통과실례험증료모형적정학성이급압축적고효성。
The structure of interval concept lattice is complex and the lattice built by the existing construction algorithm has the problem of concept redundancy.To reduce the redundancy of interval concepts,a dynamic reduction method for interval concept lattice is put forward which starts from a formal context directly.Firstly,the similarity degree of the binary relations and covering-neighborhood-space are defined which could ensure that the compressed lattice still can reflect the relationship between concepts.Secondly,according to the reduction operators,the compressed concept is acquired.Thirdly,it is proved that the reduced interval concept set is a subset of the original.Then,it built the dynam-ic reduction model for interval concept lattice based on the covering-neighborhood-space and reduction operators.The number of concepts in lattice is controlled by the threshold value of similarity class which can realize the dynamic of reduction.Finally,the correctness of model and the high efficiency of reduction are shown by a case study.