Rough and rough fuzzy sets on two universes via covering approach

被引:1
|
作者
Mareay, R. [1 ]
机构
[1] Kafrelsheikh Univ, Fac Sci, Dept Math, Kafr Al Sheikh 33516, Egypt
关键词
Rough sets; covering; approximation space; strong covering; rough fuzzy sets; MODEL; OPERATORS;
D O I
10.3233/IFS-151837
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Rough set theory is an important non-numeric method for dealing with uncertainty and data mining. In this paper, we study rough sets and rough fuzzy sets on two universes via covering models. We introduce a new definition for the lower and upper approximation by taking a covering of the second universe of discourse. Some properties of the new model are revealed. We believe that this model will be more realistic in the sense that rough sets (resp. rough fuzzy sets) are approximated by sets (resp. fuzzy sets) on the same universe. Moreover, some results, examples and counter examples are provided.
引用
收藏
页码:1139 / 1146
页数:8
相关论文
共 50 条
  • [1] Incremental fuzzy probabilistic rough sets over two universes
    Hu, Jie
    Li, Tianrui
    Luo, Chuan
    Fujita, Hamido
    Li, Shaoyong
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2017, 81 : 28 - 48
  • [2] Modern classes of fuzzy α-covering via rough sets over two distinct finite sets
    Abushaaban, Amal T.
    Embaby, O. A.
    El-Atik, Abdelfattah A.
    AIMS MATHEMATICS, 2025, 10 (02): : 2131 - 2162
  • [3] A novel approach to fuzzy rough sets based on a fuzzy covering
    Deng, Tingquan
    Chen, Yanmei
    Xu, Wenli
    Dai, Qionghai
    INFORMATION SCIENCES, 2007, 177 (11) : 2308 - 2326
  • [4] Soft rough fuzzy sets based on covering
    Mareay, R.
    Abu-Gdairi, Radwan
    Badr, M.
    AIMS MATHEMATICS, 2024, 9 (05): : 11180 - 11193
  • [5] Fuzzy Covering based Rough Sets Revisited
    D'eer, Lynn
    Cornelis, Chris
    Sanchez, Daniel
    PROCEEDINGS OF THE 2015 CONFERENCE OF THE INTERNATIONAL FUZZY SYSTEMS ASSOCIATION AND THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY, 2015, 89 : 651 - 658
  • [6] Medicines selection via fuzzy upward β-covering rough sets
    Ali, Abbas
    Rehman, Noor
    Jang, Sun Young
    Park, Choonkil
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (03) : 4369 - 4390
  • [7] Local double quantitative fuzzy rough sets over two universes
    Lin, Guoping
    Xie, Linlin
    Li, Jinjin
    Chen, Jinkun
    Kou, Yi
    APPLIED SOFT COMPUTING, 2023, 145
  • [8] Incremental Fuzzy Probabilistic Rough Sets over Dual Universes
    Hu, Jie
    Li, Tianrui
    Luo, Chuan
    Li, Shaoyong
    2015 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2015), 2015,
  • [9] A semantically sound approach to Pawlak rough sets and covering-based rough sets
    D'eer, Lynn
    Cornelis, Chris
    Yao, Yiyu
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2016, 78 : 62 - 72
  • [10] RETRACTED: Covering Fuzzy Rough Sets via Variable Precision (Retracted Article)
    Atef, Mohammed
    Azzam, A. A.
    JOURNAL OF MATHEMATICS, 2021, 2021