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
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2018年 / 35卷 / 04期
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
  • [1] Lacunary difference ideal convergent sequence spaces of fuzzy numbers
    Hazarika, Bipan
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2013, 25 (01) : 157 - 166
  • [2] Intuitionistic fuzzy I-convergent sequence spaces defined by compact operator
    Khan, Vakeel A.
    Yasmeen
    Fatima, Hira
    Altaf, Henna
    Lohani, Q. M. Danish
    COGENT MATHEMATICS, 2016, 3
  • [3] INTUITIONISTIC FUZZY I-CONVERGENT DIFFERENCE SEQUENCE SPACES DEFINED BY COMPACT OPERATOR
    Kamber, Esra
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2022, 37 (03): : 485 - 494
  • [4] On paranorm I-convergent sequence spaces defined by a compact operator
    Khan V.A.
    Shafiq M.
    Lafuerza-Guillen B.
    Afrika Matematika, 2015, 26 (7-8) : 1387 - 1398
  • [5] On some I-convergent sequence spaces defined by a compact operator
    Khan, Vakeel A.
    Shafiq, Mohd
    Rababah, Rami Kamel Ahmad
    Esi, Ayhan
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2016, 43 (02): : 141 - 150
  • [6] Intuitionistic fuzzy I-convergent double sequence spaces defined by compact operator and modulus function
    Khan, Vakeel A.
    Yasmeen
    Esi, Ayhan
    Fatima, Hira
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 33 (06) : 3905 - 3911
  • [7] Lacunary summable sequence spaces of fuzzy numbers defined by ideal convergence and an Orlicz function
    Esi A.
    Hazarika B.
    Afrika Matematika, 2014, 25 (2) : 331 - 343
  • [8] On paranorm I-convergent double sequence spaces defined by a compact operator
    Khan, Vakeel A.
    Fatima, Hira
    Khan, Mohammad Faisal
    Idrisi, Mohd Imran
    INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES, 2019, 6 (09): : 58 - 63
  • [9] On I-convergent sequence spaces defined by a compact operator and a modulus function
    Khan, Vakeel A.
    Shafiq, Mohd
    Rababah, Rami Kamel Ahmad
    COGENT MATHEMATICS, 2015, 2
  • [10] On convergent double sequence spaces of fuzzy numbers defined by ideal and Orlicz function
    Savas, Ekrem
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (04) : 1869 - 1877
12345