A Semantical Approach to Rough Sets and Dominance-Based Rough Sets

被引:2
|
作者
D'eer, Lynn [1 ]
Cornelis, Chris [1 ,2 ]
Yao, Yiyu [3 ]
机构
[1] Univ Ghent, Dept Appl Math Comp Sci & Stat, Ghent, Belgium
[2] Univ Granada, Res Ctr Informat & Commun Technol CITIC UGR, Dept Comp Sci & Artificial Intelligence, Granada, Spain
[3] Univ Regina, Dept Comp Sci, Regina, SK, Canada
关键词
Covering-based rough sets; Dominance-based rough sets; Semantics; Pre-order; APPROXIMATION OPERATORS;
D O I
10.1007/978-3-319-40581-0_3
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
There exist two formulations of rough sets: the conceptual and computational one. The conceptual or semantical approach of rough set theory focuses on the meaning and interpretation of concepts, while algorithms to compute those concepts are studied in the computational formulation. However, the research on the former is rather limited. In this paper, we focus on a semantically sound approach of Pawlak's rough set model and covering-based rough set models. Furthermore, we illustrate that the dominance-based rough set model can be rephrased using this semantic approach.
引用
收藏
页码:23 / 35
页数:13
相关论文
共 50 条
  • [21] The application of dominance-based rough sets theory to evaluation of transportation systems
    Sawicki, Piotr
    Zak, Jacek
    TRANSPORTATION: CAN WE DO MORE WITH LESS RESOURCES? - 16TH MEETING OF THE EURO WORKING GROUP ON TRANSPORTATION - PORTO 2013, 2014, 111 : 1142 - 1154
  • [22] Incremental update of approximations in dominance-based rough sets approach under the variation of attribute values
    Li, Shaoyong
    Li, Tianrui
    INFORMATION SCIENCES, 2015, 294 : 348 - 361
  • [23] Incremental updating approximations in dominance-based rough sets approach under the variation of the attribute set
    Li, Shaoyong
    Li, Tianrui
    Liu, Dun
    KNOWLEDGE-BASED SYSTEMS, 2013, 40 : 17 - 26
  • [24] Dynamic dominance-based multigranulation rough sets approaches with evolving ordered data
    Chengxiang Hu
    Li Zhang
    International Journal of Machine Learning and Cybernetics, 2021, 12 : 17 - 38
  • [25] Dominance-based fuzzy rough sets in multi-scale decision tables
    Yang, Xuan
    Huang, Bing
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2022, 13 (12) : 3849 - 3866
  • [26] AUTOMATIC AGGREGATION OF CLASSES IN THE DECISION ATTRIBUTES IN APPLICATIONS OF DOMINANCE-BASED ROUGH SETS
    Sant'Anna, Annibal Parracho
    Moreira Filho, Roberto Malheiros
    SISTEMAS & GESTAO, 2013, 8 (01): : 68 - 76
  • [27] Quantitative Dominance-Based Neighborhood Rough Sets via Fuzzy Preference Relations
    Yang, Shuyun
    Zhang, Hongying
    De Baets, Bernard
    Jah, Moriba
    Shi, Guang
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2021, 29 (03) : 515 - 529
  • [28] Computing Approximations of Dominance-Based Rough Sets by Bit-Vector Encodings
    Chan, Chien-Chung
    Tzeng, Gwo-Hshiung
    ROUGH SETS AND CURRENT TRENDS IN COMPUTING, PROCEEDINGS, 2008, 5306 : 131 - +
  • [29] Dynamic dominance-based multigranulation rough sets approaches with evolving ordered data
    Hu, Chengxiang
    Zhang, Li
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2021, 12 (01) : 17 - 38
  • [30] Dominance-based fuzzy rough sets in multi-scale decision tables
    Xuan Yang
    Bing Huang
    International Journal of Machine Learning and Cybernetics, 2022, 13 : 3849 - 3866