An intuitionistic fuzzy approach to S-approximation spaces

被引:14
|
作者
Shakiba, Ali [1 ]
Hooshmandasl, Mohammad Reza [1 ]
Davvaz, Bijan [2 ]
Fazeli, Seyed Abolfazl Shahzadeh [3 ]
机构
[1] Yazd Univ, Dept Comp Sci, Lab Quantum Informat Proc, Yazd, Iran
[2] Yazd Univ, Dept Math, Yazd, Iran
[3] Yazd Univ, Dept Comp Sci, Yazd, Iran
关键词
Intuitionistic fuzzy S-approximation spaces; rough set theory; intuitionistic fuzzy sets; three-way decisions; monotonicity; complement compatibility; ROUGH SET; UNIVERSES;
D O I
10.3233/IFS-152086
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we will investigate the concept of intuitionistic fuzzy S-approximation spaces. This concept can be employed to manage the uncertainty in the intuitionistic fuzzy problems which are not expressible in terms of intuitionistic fuzzy inclusion relations. Also, we have studied these structures from a three-way decisions approach. The monotone intuitionistic fuzzy S-approximation spaces capture some interesting properties which are discussed as well as complement compatible ones.
引用
收藏
页码:3385 / 3397
页数:13
相关论文
共 50 条
  • [21] Intuitionistic Fuzzy Rough Sets and Intuitionistic Fuzzy Topology Spaces
    Feng, Tao
    Zhang, Shao-Pu
    Mi, Ju-Sheng
    INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL, 2011, 14 (08): : 2553 - 2562
  • [22] Approximation of new bounded operators in intuitionistic fuzzy n-Banach spaces
    Konwar, Nabanita
    Davvaz, Bijan
    Debnath, Pradip
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 35 (06) : 6301 - 6312
  • [23] Constructing polytomous knowledge structures from L-fuzzy S-approximation operators
    Wang, Gongxun
    Li, Jinjin
    Xu, Bochi
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2025, 179
  • [24] On the intuitionistic fuzzy topological spaces
    Saadati, R
    Park, JH
    CHAOS SOLITONS & FRACTALS, 2006, 27 (02) : 331 - 344
  • [25] Intuitionistic fuzzy metric spaces
    Park, JH
    CHAOS SOLITONS & FRACTALS, 2004, 22 (05) : 1039 - 1046
  • [26] Intuitionistic fuzzy semiregularization spaces
    Abbas, SE
    Aygün, H
    INFORMATION SCIENCES, 2006, 176 (06) : 745 - 757
  • [27] Intuitionistic Fuzzy Normed Spaces
    Adibi, H.
    Hosseini, S. B.
    Saadati, R.
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2005, 3 (D05): : 49 - 56
  • [28] On intuitionistic fuzzy topological spaces
    Gallego Lupianez, Francisco
    KYBERNETES, 2006, 35 (5-6) : 743 - 747
  • [29] On the Intuitionistic Fuzzy Metric Spaces
    Jahedi, S.
    Azhdari, E.
    JOURNAL OF MATHEMATICAL EXTENSION, 2007, 2 (1-2) : 81 - 92
  • [30] INTUITIONISTIC FUZZY MINIMAL SPACES
    Min, Won Keun
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2009, 16 (03): : 259 - 269