Computer Science ›› 2017, Vol. 44 ›› Issue (Z11): 144-147.doi: 10.11896/j.issn.1002-137X.2017.11A.030

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Double Quantitative Multi-granulation Rough Set Model Based on “Logical Conjunction” Operator

CHEN Hua-feng, SHEN Yu-ling, LONG Jian-wu and QU Xian-ping   

  • Online:2018-12-01 Published:2018-12-01

Abstract: In this study,the double quantitative multi-granulation rough set model based on logical conjunction operator was proposed in multi-granulation approximate space.The variable precision rough set which is characterized by relative quantitative information and graded rough which describes absolute quantitative information were conbined to set double quantitative multi-granulation rough set model based on logical conjunction operater.Some mathematical properties of the investigated rough set model were researched in the viewpoints of optimistic and pessimistic.The constructed model describes relative quantitative information and absolute quantitative information at the same time in an approximate space.It is useful to process noisy data and provides more abundant theoretical principle for knowledge discovery based on rough set theory.

Key words: Variable precision rough set,Graded rough set,Multi-granulation rough set,Logical conjunction;Double quantitative

[1] 窦慧莉,吴陈,杨习贝,等.可变精度多粒度粗糙集模型[J].江苏科技大学学报(自然科学版),2012,26(1):65-69.
[2] 胡猛,徐伟华.序信息系统中基于“逻辑且”和“逻辑或”的双量化粗糙模糊集[J].计算机科学,2016,43(1):98-102.
[3] PAWLAK Z.Rough Sets [J].International Journal of Computer and Information Sciences,1982,11(5):341-356.
[4] QIAN Y H,LIANG J Y,YAO Y Y,et al.MGRS:A multi-dgranu-lation rough set[J].Information Sciences,2010,180(6):949-970.
[5] QIAN Y H,LIANG J Y,DANG C Y.Incomplete multi-granulation rough set[J].IEEE Transactions on Systems,Man & Cybernetics Part A,2010,40(2):420-431.
[6] 沈家兰,汪小燕,申元霞,等.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.
[7] 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.
[8] XU W H,LIU S H,WANG Q R.The First Type of GradeRough Set Based on Rough Membership Function[C]∥Seventh International Conference System and Knowledge Discovery(FSKD2010).2010:1922-1926.
[9] YAO Y Y,LIN T Y.Generalization of rough sets using modal logics [J].Intelligent Automatic and Soft Computing,1996,2:103-120.
[10] YAO Y Y,DENG X F.Quantitative rough sets based on subsethood measures[J].Information Sciences,2014,267:306-322.
[11] ZIARKO W.Variable precision rough set model[J].Journal of Computer and System Sciences,1993,6(1):39-59.
[12] 张文修,吴伟志,梁吉业,等.粗糙集理论与方法[M].北京:科学出版社,2001.
[13] ZHANG X Y,MO Z W,XIONG F,et al.Comparative study of variable precision rough set model and graded rough set model [J].International Journal of Approximate Reasoning,2012,53(2012):104-116.
[14] 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,2009,7(9):151-155.
[15] ZHANG X Y,MIAO D Q.Two basic double-quantitative rough set models of precision and grade and their investigation using granular computing[J].International Journal of Approximate Reasoning,2013,54:1130-1148.
[16] 徐怡,杨宏健,纪霞,等.基于邻域的可变粒度粗糙集模型[J].小型微型计算机系统,2016,37(7):1513-1517.

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