摘要
在多粒度粗糙集模型基础上,考虑相对误差和绝对误差的分类思想,针对不完备信息系统提出基于限制容差关系的变精度与程度"逻辑或"多粒度粗糙集,包括变精度与程度"逻辑或"乐观和悲观多粒度粗糙集。讨论变精度与程度"逻辑或"乐观和悲观多粒度粗糙集的相关性质,通过实验验证该模型的有效性。
On the basis of multi-granulation rough set model,taking into consideration the classification of relative error and absolute error,we proposed a logical disjunct operation of variable precision and grade multi-granulation rough set involving limited tolerance relation for incomplete information systems,which includes the logical disjunct operation of variable precision and grade optimistic and pessimistic multi-granulation rough sets. The properties of the proposed models are discussed,and the effectiveness of the models is verified by experiments.
引文
[1]PAWLAK Z.Rough sets[J].International Journal of Computer and Information Science,1982,11(5):341-356.
[2]汪小燕,金建辉.基于不可区分序偶的属性约简算法[J].苏州科技大学学报(自然科学版),2017,34(2):55-58.
[3]QIAN Y H,LIANG J Y,DANG C Y.Incomplete multigranulation rough set[J].IEEE Transactions on Systems,Man and Cybernetics-Part A,2010,40(2):420-431.
[4]QIAN Y H,LIANG J Y,YAO Y Y,et al.MGRS:A multi-granulation rough set[J].Information Sciences,2010,180(6):949-970.
[5]QIAN Y H,ZHANG H,SANG Y L,et al.Multigranulation decision-theoretic rough sets[J].International Journal of Approximate Reasoning,2014,55:225-237.
[6]汪小燕,彭刚,沈家兰,等.基于矩阵的多粒度粗糙集上、下近似表示[J].苏州科技大学学报(自然科学版),2018,35(1):67-70.
[7]翟永健,张宏.不完备系统中的变精度多粒度粗糙集[J].南京航空航天大学学报,2011,43(6):780-785.
[8]吴志远,钟培华,胡建根.程度多粒度粗糙集[J].模糊系统与数学,2014,28(3):165-172.
[9]张明,唐振民,徐维艳,等.可变多粒度粗糙集模型[J].模式识别与人工智能,2012,25(4):709-720.
[10]LIN G P,LIANG J Y,QIAN Y H,et al.A fuzzy multigranulation decision theoretic approach to multi-source fuzzy information systems[J].Knowledge-Based Systems,2016,91:102-113.
[11]ZHANG M,XU W Y,YANG X B,et al.Incomplete variable multi-granulation rough sets decision[J].Applied Mathematics&Information Science,2014,8(3):1159-1166.
[12]林梦雅,姚晟,陈菊,等.量化容差关系的不完备多粒度粗糙集模型[J].计算机应用,2017,37(S1):93-96.
[13]沈家兰,汪小燕,申元霞.可变程度多粒度粗糙集[J].小型微型计算机系统,2016,37(5):1012-1016.
[14]LIN G P,QIAN Y H,LI J J.NMGRS:Neighborhood-based multi-granulation rough sets[J].International Journal of Approximate Reasoning,2012,53(1):1080-1093.
[15]LIN G P,LIANG J Y,QIAN Y H.An information fusion approach by combining multigranulation rough sets and evidence theory[J].Information Sciences,2015,314:184-199.
[16]张贤勇,熊方,莫志文.精度与程度的逻辑或粗糙集模型[J].模式识别与人工智能,2009,22(5):697-703.
[17]王国胤.Rough集理论在不完备信息系统中的扩充[J].计算机研究与发展,2002,39(10):1238-1243.
[18]郭郁婷.基于限制容差关系变精度的多粒度粗糙集[J].闽南师范大学学报(自然科学版),2015,87(1):1-11.