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
  • [41] Nonlinear approximation of multiplicative inverse quartic functional equation in intuitionistic fuzzy normed spaces
    Gupta, Eena
    Chugh, Renu
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2021, 24 (04) : 1017 - 1034
  • [42] Intuitionistic fuzzy ideals on approximation systems
    Immaculate, H. Jude
    Jafari, Saeid
    Arockiarani, I.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (43): : 224 - 236
  • [43] An approximation method of intuitionistic fuzzy numbers
    Li, Shuyang
    Li, Hongxing
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (06) : 4343 - 4355
  • [44] Intuitionistic fuzzy ideals on approximation systems
    Jude Immaculate, H.
    Jafari, Saeid
    Arockiarani, I.
    Italian Journal of Pure and Applied Mathematics, 2020, 43 : 224 - 236
  • [45] On the S-approximation of the Earth's gravity field: regional version
    Stepanova, I. E.
    INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2009, 17 (08) : 1095 - 1111
  • [46] Intuitionistic Fuzzy Translation Invariant Spaces
    Nayagam, V. Lakshmana Gomathi
    Gauld, David
    Sivaraman, Geetha
    Venkateshwari, G.
    2008 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-5, 2008, : 2159 - +
  • [47] Topics in intuitionistic fuzzy metric spaces
    Kutukcu, Servet
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2007, 9 (02) : 173 - 180
  • [48] CONNECTEDNESS IN INTUITIONISTIC FUZZY TOPOLOGICAL SPACES
    Kim, Yong Chan
    Abbas, S. E.
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2005, 20 (01): : 117 - 134
  • [49] On Intuitionistic Fuzzy β Generalized α Normal Spaces
    Al-Qubati, Abdulgawad A. Q.
    Al-Qahtani, Hadba F.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2022, 20
  • [50] Some results on intuitionistic fuzzy spaces
    Hosseini, S. B.
    O'Regan, D.
    Saadati, R.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2007, 4 (01): : 53 - 64