On some AI-convergent difference sequence spaces of fuzzy numbers defined by the sequence of Orlicz functions

被引:3
|
作者
Savas, Ekrem [1 ]
机构
[1] Istanbul Commerce Univ, Dept Math, Istanbul, Turkey
关键词
ideal; I-convergent; infinite matrix; Orlicz function; fuzzy number; difference space; SUMMABLE SEQUENCES;
D O I
10.1186/1029-242X-2012-261
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, using the difference operator of order m, the sequences of Orlicz functions, and an infinite matrix, we introduce and examine some classes of sequences of fuzzy numbers defined by I-convergence. We study some basic topological and algebraic properties of these spaces. In addition, we shall establish inclusion theorems between these sequence spaces. MSC: 40A05, 40G15, 46A45.
引用
收藏
页数:13
相关论文
共 50 条
  • [21] On Some Generalized Difference Sequence Spaces of Invariant Means Defined by a Sequence of Orlicz Functions
    Esi, Ayhan
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2009, 11 (03) : 524 - 535
  • [22] On Some New Paranormed Difference Sequence Spaces Defined by Orlicz Functions
    Tripathy, Binod Chandra
    Dutta, Hemen
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2010, 50 (01): : 59 - 69
  • [23] Some Classes of Difference Paranormed Sequence Spaces Defined by Orlicz Functions
    Tripathy, B. C.
    Sarma, B.
    [J]. THAI JOURNAL OF MATHEMATICS, 2005, 3 (02): : 209 - 218
  • [24] Some λ-sequence spaces defined by Orlicz functions
    Savas, E
    Savas, R
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (12): : 1673 - 1680
  • [25] On some I-convergent generalized difference lacunary double sequence spaces defined by orlicz functions
    Hazarika, Bipan
    Esi, Ayhan
    [J]. ACTA SCIENTIARUM-TECHNOLOGY, 2013, 35 (03) : 527 - 537
  • [26] SOME CLASSES OF ALMOST CONVERGENT PARANORMED SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS
    Isik, Mahmut
    [J]. DEMONSTRATIO MATHEMATICA, 2012, 45 (03) : 585 - 592
  • [27] Some new sequence spaces defined by a sequence of Orlicz functions
    Esi, A
    Et, M
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2000, 31 (08): : 967 - 973
  • [28] Some new sequence spaces defined by a sequence of Orlicz functions
    Karakaya, V
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2005, 9 (04): : 617 - 627
  • [29] Zweier Ideal Convergent Sequence Spaces Defined By Orlicz Functions
    Hazarika, Bipan
    Tamang, Karan
    Singh, B. K.
    [J]. JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 8 (03): : 307 - 318
  • [30] Some Lacunary Difference Sequence Spaces defined by Musielak-Orlicz Functions
    Hazarika, Bipan
    [J]. THAI JOURNAL OF MATHEMATICS, 2011, 9 (03): : 659 - 671