Certain types of fuzzy soft β-covering based fuzzy rough sets with application to decision-making

被引:4
作者
Nawar, Ashraf S. [1 ]
Atef, Mohammed [1 ]
Khalil, Ahmed Mostafa [2 ]
机构
[1] Menoufia Univ, Fac Sci, Dept Math & Comp Sci, Menoufia, Egypt
[2] Al Azhar Univ, Fac Sci, Dept Math, Assiut 71524, Egypt
关键词
Fuzzy soft beta-covering; Fuzzy soft beta-neighborhoods; Fuzzy soft beta-adhesion neighborhoods; Decision-making; REDUCTION; MODELS; APPROXIMATIONS; GRANULATION;
D O I
10.3233/JIFS-201822
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The aim of this paper is to introduce and study different kinds of fuzzy soft beta-neighborhoods called fuzzy soft beta-adhesion neighborhoods and to analyze some of their properties. Further, the concepts of soft beta-adhesion neighborhoods are investigated and the related properties are studied. Then, we present new kinds of lower and upper approximations by means of different fuzzy soft beta-neighborhoods. The relationships among our models (i.e., Definitions 3.9, 3.12, 3.15 and 3.18) and Zhang models [48] are also discussed. Finally, we construct an algorithm based on Definition 3.12, when k = 1 to solve the decision-making problems and illustrate its applicability through a numerical example.
引用
收藏
页码:10825 / 10836
页数:12
相关论文
共 58 条
  • [1] Multi-granular soft rough covering sets
    Alcantud, Jose Carlos R.
    Zhan, Jianming
    [J]. SOFT COMPUTING, 2020, 24 (13) : 9391 - 9402
  • [2] Comparison of six types of rough approximations based on j-neighborhood space and j-adhesion neighborhood space
    Atef, Mohammed
    Khalil, Ahmed Mostafa
    Li, Sheng-Gang
    Azzam, A. A.
    El Atik, Abd El Fattah
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 39 (03) : 4515 - 4531
  • [3] Extensions and intentions in the rough set theory
    Bonikowski, Z
    Bryniarski, E
    Wybraniec-Skardowska, U
    [J]. INFORMATION SCIENCES, 1998, 107 (1-4) : 149 - 167
  • [4] Rough Sets, Coverings and Incomplete Information
    Couso, Ines
    Dubois, Didier
    [J]. FUNDAMENTA INFORMATICAE, 2011, 108 (3-4) : 223 - 247
  • [5] De Cock MT, 2004, IEEE INT CONF FUZZY, P103
  • [6] A novel approach to fuzzy rough sets based on a fuzzy covering
    Deng, Tingquan
    Chen, Yanmei
    Xu, Wenli
    Dai, Qionghai
    [J]. INFORMATION SCIENCES, 2007, 177 (11) : 2308 - 2326
  • [7] ROUGH FUZZY-SETS AND FUZZY ROUGH SETS
    DUBOIS, D
    PRADE, H
    [J]. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1990, 17 (2-3) : 191 - 209
  • [8] The reduction and fusion of fuzzy covering systems based on the evidence theory
    Feng, Tao
    Zhang, Shao-Pu
    Mi, Ju-Sheng
    [J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2012, 53 (01) : 87 - 103
  • [9] A rough set approach for selecting clustering attribute
    Herawan, Tutut
    Deris, Mustafa Mat
    Abawajy, Jemal H.
    [J]. KNOWLEDGE-BASED SYSTEMS, 2010, 23 (03) : 220 - 231
  • [10] Gaussian kernel based fuzzy rough sets: Model, uncertainty measures and applications
    Hu, Qinghua
    Zhang, Lei
    Chen, Degang
    Pedrycz, Witold
    Yu, Daren
    [J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2010, 51 (04) : 453 - 471