Approximations of some near open sets in ideal topological spaces

被引:0
|
作者
A. S. Nawar
机构
[1] Menoufia University,Department of Mathematics and Computer Science, Faculty of Science
关键词
-ideal approximation spaces; -ideal open sets; Accuracy measure;
D O I
10.1186/s42787-019-0067-0
中图分类号
学科分类号
摘要
In this paper, we introduce the concepts of j-ideal lower and j-ideal upper approximations as a generalization of approximation by Pawlak by using j-ideal open sets where j ∈ {α, S, P, γ, β, ⋀β}. Some of their basic properties with the aid of examples are proven. Furthermore, we study the relationships between these approximations to get the best of them.
引用
收藏
相关论文
共 50 条
  • [41] ON AI*-SETS, CI-SETS, CI*-SETS AND DECOMPOSITIONS OF CONTINUITY IN IDEAL TOPOLOGICAL SPACES
    Ekici, Erdal
    ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2013, 59 (01): : 173 - 184
  • [42] Operation-Connected Spaces, Compact Spaces With α(γ,γ′) - Open Sets In Topological Spaces
    Kalaivani, N.
    Saravanakumar, D.
    Gunasekar, T.
    11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS, 2019, 2112
  • [43] Regularly open sets in intuitionistic fuzzy topological spaces
    Menahadevi, T.
    Meenakshi, P. Maragatha
    Rajesh, N.
    Brundha, B.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 30 (01): : 10 - 18
  • [44] beta*-Open sets and beta*-continuity in topological spaces
    Mubarki, Ali M.
    Al-Rshudi, Massed M.
    Al-Juhani, Mohammad A.
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2014, 8 (02): : 142 - 148
  • [45] ON NANO b - OPEN SETS IN NANO TOPOLOGICAL SPACES
    Parimala, M.
    Indirani, C.
    Jafari, S.
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2016, 9 (03): : 173 - 184
  • [46] Categories of Open Sets in Generalized Primal Topological Spaces
    Al-Saadi, Hanan
    Al-Malki, Huda
    MATHEMATICS, 2024, 12 (02)
  • [47] BIOPERATION ON δPS-OPEN SETS IN TOPOLOGICAL SPACES
    Harikrishnan, Shanmugapriya
    Krishnasami, Sivakamasundari
    SURANAREE JOURNAL OF SCIENCE AND TECHNOLOGY, 2024, 31 (01): : (1 - 9)
  • [48] WEAK OPEN SETS ON SIMPLE EXTENSION IDEAL TOPOLOGICAL SPACE
    AL-Omeri, Wadei
    Noorani, Mohd. Salmi Md.
    AL-Omari, Ahmad
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2014, (33): : 333 - 344
  • [49] REGULARLY OPEN SETS IN FUZZY TOPOLOGICAL-SPACES
    SINGAL, MK
    RAJVANSHI, N
    FUZZY SETS AND SYSTEMS, 1992, 50 (03) : 343 - 353
  • [50] QUASI-N-OPEN SETS IN (a)TOPOLOGICAL SPACES
    Luthra, Sheetal
    Chauhan, Harsh V. S.
    Tyagi, B. K.
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 13 (04): : 505 - 517