您的位置：山东大学 -> 科技期刊社 -> 《山东大学学报（理学版）》

山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (3): 97-104.doi: 10.6040/j.issn.1671-9352.4.2016.159

• • 上一篇    下一篇

基于加权粒度和优势关系的程度多粒度粗糙集

汪小燕,沈家兰,申元霞   

  1. 安徽工业大学计算机科学与技术学院, 安徽 马鞍山 243032
  • 收稿日期:2016-04-16 出版日期:2017-03-20 发布日期:2017-03-20
  • 作者简介:汪小燕(1974— ),女,硕士,副教授,研究方向为粗糙集理论、粒计算和概念格.E-mail: wxyzjx@126.com
  • 基金资助:
    国家青年科学基金资助项目(61300059)

Graded multi-granulation rough set based on weighting granulations and dominance relation

WANG Xiao-yan, SHEN Jia-lan, SHEN Yuan-xia   

  1. School of Computer Science &
    Technology, Anhui University of Technology, Maanshan 243032, Anhui, China
  • Received:2016-04-16 Online:2017-03-20 Published:2017-03-20

PDF (PC)

503

摘要： 程度多粒度粗糙集考虑了等价类与目标集合之间重叠部分的定量信息,却忽略了不同粒度的权重问题。基于程度多粒度粗糙集与加权粒度多粒度粗糙集,提出了基于加权粒度和优势关系的程度多粒度粗糙集模型。讨论了它的相关性质,并提出一种粒度约简的方法。最后通过实例分析验证了本文理论方法的正确性与有效性。

关键词: 程度多粒度粗糙集, 加权, 粒度约简, 优势关系

Abstract: It is considered that the quantitative information of the overlap between equivalence classes and a target set in graded multi-granulation rough set. However, the weight of different granularity is ignored. In view of graded multi-granulation rough set and multigranulation rough set based on weighted granulations, it is proposed the model of graded multi-granulation rough set based on weighting granulations and dominance relation. Then, its properties are discussed and a method of granulation reduction is proposed. Finally, the results of examples also show the correctness and effectiveness of the theoretical methods.

Key words: dominance relation, granulation reduction, graded multi-granulation rough set, weighting

中图分类号: 

  • TP18
[1] QIAN Yuhua, LIANG Jiye, YAO Yiyu, et al. MGRS: a multi-granulation rough set[J]. Information Sciences, 2010, 180(6):949-970.
[2] QIAN Yuhua, LIANG Jiye, DANG Chuangyin. Incomplete multigranulation rough set[J]. IEEE Transactions on Systems, Man and Cybernetics-Part A, 2010, 40(2):420-431.
[3] QIAN Yuhua, ZHANG Hu, SANG Yanli, et al. Multigranulation decision-theoretic rough sets[J]. International Journal of Approximate Reasoning, 2014, 55:225-237.
[4] LIN Guoping, LIANG Jiye, QIAN Yuhua. Multigranulation rough sets: from partition to covering[J]. Information Sciences, 2013, 241:101-118.
[5] LIN Guoping, LIANG Jiye, QIAN Yuhua, et al.A fuzzy multigranulation decision theoretic approach to multi-source fuzzy information systems[J]. Knowledge-Based Systems, 2016, 91:102-113.
[6] ZHANG Ming, XU Weiyan,YANG Xibei, et al. Incomplete variable multi-granulation rough sets decision[J]. Applied Mathematics & Information Science, 2014, 8(3):1159-1166.
[7] LIN Guoping, QIAN Yuhua, LI Jinjin. NMGRS: neighborhood-based multi-granulation rough sets[J]. International Journal of Approximate Reasoning, 2012, 53(1):1080-1093.
[8] 李气芳,李进金,林国平.优势关系下的多粒度粗糙集[J]. 计算机工程与应用, 2012, 48(17):53-57. LI Qifang, LI Jinjin, LIN Guoping. Multi-granulation rough set based on dominance relation[J]. Computer Engineering and Applications, 2012, 48(17):53-57.
[9] 马睿,刘文奇. 基于集值信息系统的多粒度粗糙集[J].系统工程与电子技术, 2014, 36(5):920-925. MA Rui, LIU Wenqi. Mult-granulation rough set model based on set-valued information system[J].Systems Engineering and Electronics, 2014, 36(5):920-925.
[10] YAO Yiyu, LIN T Y. Generalization of rough sets using modal logics[J].Intelligent Automation & Soft Computing, 1996, 2(2):103-120.
[11] 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. WU Zhiyuan, ZHONG Peihua, HU Jiangen. The graded multi-granulation rough set[J]. Fuzzy Systems and Mathematics, 2014, 28(3):165-172.
[12] 张明,程科,杨习贝,等. 基于加权粒度的多粒度粗糙集[J]. 控制与决策, 2015, 30(2):222-228. ZHANG Ming, CHENG Ke, YANG Xibei, et al. Multigranulation rough set based on weighted granulations[J].Control and Decision, 2015, 30(2):222-228.
[13] 桑妍丽,钱宇华.一种悲观多粒度粗糙集中的粒度约简算法[J].模式识别与人工智能,2012,25(3):361-366. SANG Yanli, QIAN Yuhua. A granular space reduction approach to pessimistic multi-granulation rough sets[J]. Pattern Recognition and Artificial Intelligence, 2012, 25(3):361-366.
[14] QIAN Yuhua, LI Shunyong, LIANG Jiye, et al. Pessimistic rough set based decisions: a multigranulation fusion strategy[J]. Information Sciences, 2014, 264:196-210.
[15] 孟慧丽,马媛媛,徐久成.基于信息量的悲观多粒度粗糙集粒度约简[J].南京大学学报(自然科学版),2015,51(2):343-348. MENG Huili, MA Yuanyuan, XU Jiucheng. The granularity reduction of pessimistic multi-granulation rough set based on the information quantity[J].Journal of Nanjing University(Natural Sciences), 2015, 51(2):343-348.
[16] 吴磊,杨善林,郭庆.优势关系下直觉模糊目标信息系统的上近似约简[J].模式识别与人工智能,2014,27(4):300-304. WU Lei, YANG Shanlin, GUO Qing. Upper approximation reduction in intuitionistic fuzzy object information systems with dominance relations[J].PR & AI, 2014, 27(4):300-304.
[1] 陶双平,高荣. 多线性分数次积分和极大算子在Morrey空间上的加权估计[J]. 山东大学学报（理学版）, 2018, 53(6): 30-37.
[2] 邓义华. f-调和函数的Hess矩阵的估计及其在分裂定理中的应用[J]. 山东大学学报（理学版）, 2017, 52(4): 83-86.
[3] 江龙,陈敏. 基于加权g-期望的Jensen不等式,矩不等式与大数定律[J]. 山东大学学报（理学版）, 2016, 51(8): 1-9.
[4] 张立君,郭明乐. 行为渐近负相协随机变量阵列加权和的矩完全收敛性[J]. 山东大学学报（理学版）, 2016, 51(2): 42-49.
[5] 熊利艳,许贵桥. 基于Chebyshev节点组的多元张量积多项式插值在布朗片测度下的平均误差[J]. 山东大学学报（理学版）, 2016, 51(10): 11-15.
[6] 黄玲玲,赵凯. 变量核参数型Marcinkiewicz积分算子在加权Campanato空间的有界性[J]. 山东大学学报（理学版）, 2016, 51(10): 1-5.
[7] 郑禅, 李寒宇. 半定内积下的矩阵奇异值分解[J]. 山东大学学报（理学版）, 2014, 49(12): 81-86.
[8] 苟银霞, 陶双平, 戴惠萍. Herz型Hardy空间上粗糙核分数次积分及其交换子的加权估计[J]. 山东大学学报（理学版）, 2014, 49(07): 80-87.
[9] 潘亚丽,李昌文. 带变量核的Marcinkiewicz积分交换子在加权弱Hardy空间上的有界性[J]. 山东大学学报（理学版）, 2014, 49(03): 84-89.
[10] 许日丽,郭明乐. 行为ND随机变量阵列加权和的矩完全收敛性[J]. J4, 2013, 48(6): 9-13.
[11] 陈翠. 加权型空间上的n阶微分复合算子[J]. J4, 2013, 48(4): 57-59.
[12] 张红玉，崔明荣*. 两类分数阶对流-扩散方程的有限差分方法[J]. J4, 2012, 47(6): 40-48.
[13] 张国强. 加权Bergman空间里加权复合算子的紧差分[J]. J4, 2012, 47(12): 78-81.
[14] 郑庆玉, 张蕾. 一类加权Hardy-Steklov平均算子的有界性[J]. J4, 2011, 46(6): 41-44.
[15] 韩宗贤,孙渭滨. 一类推广的Bernstein-Kantorovich算子在Bα空间中加权逼近的等价定理[J]. J4, 2011, 46(4): 93-97.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
版权所有 © 2018 《山东大学学报(理学版)》编辑部　
地址: 山东省济南市山大南路27号山东大学中心校区（250100）　电话: +86-0531-88366917　E-mail: xblxb@sdu.edu.cn
本系统由北京玛格泰克科技发展有限公司设计开发