A generalized definition of rough approximation based on similarity in variable precision rough sets

被引:0
|
作者
Zhao, SX [1 ]
Zhang, ZR [1 ]
机构
[1] Shijiazhuang Railway Inst, Dept Math, Shijiazhuang, Hebei, Peoples R China
关键词
rough sets; variable precision rough sets; similarity relation;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Variable precision rough set theory (VPRS) is an important extension of rough set theory; it incorporates the use of indiscernibility relation (equivalence relation) to approximate sets of objects by beta-lower and beta-upper approximation. This paper extends the concepts to the case of more general relation-similarity relation. beta(*)-lower and beta(*)-upper approximation are proposed, which are extensional definitions of the classical concepts--beta-lower and beta-upper approximation.
引用
收藏
页码:3153 / 3156
页数:4
相关论文
共 50 条
  • [1] On Variable Precision of Generalized Rough Sets
    Syau, Yu-Ru
    Lin, En-Bing
    [J]. 2014 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING (GRC), 2014, : 271 - 274
  • [2] On variable precision of generalized rough sets
    20150300424002
    [J]. (1) Department of Information Management, National Formosa University, Huwei, Yunlin; 63201, Taiwan; (2) Department of Mathematics, Central Michigan University, Mt. Pleasant; MI; 48859, United States, 1600, IEEE Computer Society; International Granular Computing Society; Kayamori Foundation on Informational Science Advancement; Support Center for Advanced Telecommunications Technology Research, Foundation (SCAT); Tateisi Science and Technology Foundation (Institute of Electrical and Electronics Engineers Inc., United States):
  • [3] Definition of variable precision fuzzy rough sets
    Li, Fan
    Liu, Qi-He
    Yang, Guo-Wei
    [J]. Kongzhi yu Juece/Control and Decision, 2008, 23 (11): : 1206 - 1210
  • [4] Fuzziness of Generalized Variable Precision Rough Sets
    Sun, Bingzhen
    Jiao, Yonglan
    [J]. 2008 INTERNATIONAL WORKSHOP ON EDUCATION TECHNOLOGY AND TRAINING AND 2008 INTERNATIONAL WORKSHOP ON GEOSCIENCE AND REMOTE SENSING, VOL 1, PROCEEDINGS, 2009, : 614 - 617
  • [5] Variable precision rough sets model based on (α, τ) limited similarity relation
    Gao, Yang
    Zhong, Bo
    [J]. Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics, 2009, 31 (07): : 1639 - 1641
  • [6] Neighborhood Systems and Variable Precision Generalized Rough Sets
    Syau, Yu-Ru
    Lin, En-Bing
    Liau, Churn-Jung
    [J]. FUNDAMENTA INFORMATICAE, 2017, 153 (03) : 271 - 290
  • [7] A generalized definition of rough approximations based on similarity
    Slowinski, R
    Vanderpooten, D
    [J]. IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING, 2000, 12 (02) : 331 - 336
  • [8] On a Criterion for Evaluating the Accuracy of Approximation by Variable Precision Rough Sets
    Kudo, Yasuo
    Murai, Tetsuya
    [J]. INTEGRATED UNCERTAINTY MANAGEMENT AND APPLICATIONS, 2010, 68 : 319 - +
  • [9] On Variable Precision Generalized Rough Sets and Incomplete Decision Tables
    Syau, Yu-Ru
    Liau, Churn-Jung
    Lin, En-Bing
    [J]. FUNDAMENTA INFORMATICAE, 2021, 179 (01) : 75 - 92
  • [10] On the structure of fuzzy variable precision rough sets based on generalized residuted lattices
    Mandal, Prasenjit
    Ranadive, A. S.
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (01) : 483 - 497