On fuzzy valued lacunary ideal convergent sequence spaces defined by a compact operator

被引:8
|
作者
Khan, Vakeel A. [1 ]
Makharesh, Abdullah A. H. [1 ]
Alshlool, Kamal M. A. S. [1 ]
Abdullah, Sameera A. A. [1 ]
Fatima, Hira [1 ]
机构
[1] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India
关键词
Ideal; I-theta-convergence; I-theta-Cauchy; fuzzy number; lacunary sequence; compact operator;
D O I
10.3233/JIFS-18906
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, our aim is to introduce and study some new spaces of lacunary I-convergence for sequence of fuzzy real number which are defined by compact operator (T) on the real space R. i.e., (F)c(I theta) (T), (F)c(0)(I theta) (T), Fl(infinity)(I theta) (T), FL infinity theta (T) and examine some basic properties and prove some inclusions relation on these spaces.
引用
收藏
页码:4849 / 4855
页数:7
相关论文
共 50 条
  • [41] Some new sequence spaces defined by lacunary sequences
    Savas, Ekrem
    Karakaya, Vatan
    MATHEMATICA SLOVACA, 2007, 57 (04) : 393 - 399
  • [42] RIESZ LACUNARY SEQUENCE SPACES OF FRACTIONAL DIFFERENCE OPERATOR
    Raj, Kuldip
    Saini, Kavita
    Sawhney, Neeru
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2022, 46 (02): : 283 - 294
  • [43] mu-statistical convergent double lacunary sequence spaces
    Sharma, S. K.
    Esi, Ayhan
    AFRIKA MATEMATIKA, 2015, 26 (7-8) : 1467 - 1481
  • [44] On some double lacunary strong Zweier convergent sequence spaces
    Esi, Ayhan
    Acikgoz, Mehmet
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2013, 40 (02): : 121 - 127
  • [45] LACUNARY I-CONVERGENT AND LACUNARY I-BOUNDED SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION OVER n-NORMED SPACES
    Mursaleen, M.
    Sharma, Sunil K.
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2018, 24 (04): : 370 - 380
  • [46] Generalized neutrosophic ideal convergent sequence spaces
    Ahmad, Mobeen
    Idrisi, Mohd Imran
    Sirohi, Anuj Kumar
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 30 (04): : 332 - 339
  • [47] On fuzzy real valued asymptotically equivalent sequences and lacunary ideal convergence
    Hazarika, Bipan
    Esi, Ayhan
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2014, 41 (02): : 209 - 225
  • [48] Lacunary ideal convergence in intuitionistic fuzzy normed linear spaces
    Debnath, Pradip
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (03) : 708 - 715
  • [49] ON SOME DOUBLE LACUNARY SEQUENCE SPACES OF FUZZY NUMBERS
    Savas, Ekrem
    MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, 2010, 15 (03) : 439 - 448
  • [50] The Almost Lacunary chi(2) sequence spaces defined by modulus
    Subramanian, N.
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2014, 32 (02): : 209 - 220