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

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

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

页数：13

共 50 条

[11] Statistically Convergent Difference Double Sequence Spaces Defined By Orlicz Functions
Esi, Ayhan
Hazarika, Bipan
[J]. THAI JOURNAL OF MATHEMATICS, 2016, 14 (03): : 687 - 700
[12] Some sequence spaces of fuzzy numbers defined by Orlicz function
Sarma, Bipul
[J]. ACTA SCIENTIARUM-TECHNOLOGY, 2015, 37 (01) : 85 - 87
[13] Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function
Tripathy, Binod Chandra
Borgohain, Stuti
[J]. ADVANCES IN FUZZY SYSTEMS, 2011, 2011
[14] Some new sequence spaces of fuzzy numbers defined by Orlicz functions using a fuzzy metric
Hazarika, Bipan
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (09) : 2762 - 2769
[15] On convergent double sequence spaces of fuzzy numbers defined by ideal and Orlicz function
Savas, Ekrem
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (04) : 1869 - 1877
[16] Some I-convergent sequence spaces defined by Orlicz functions
Tripathy, Binod Chandra
Hazarika, Bipan
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2011, 27 (01): : 149 - 154
[17] Some I-Convergent Sequence Spaces Defined by Orlicz Functions
Binod Chandra Tripathy
Bipan Hazarika
[J]. Acta Mathematicae Applicatae Sinica, 2011, 27 (01) : 149 - 154
[18] Some I-convergent sequence spaces defined by Orlicz functions
Binod Chandra Tripathy
Bipan Hazarika
[J]. Acta Mathematicae Applicatae Sinica, English Series, 2011, 27 : 149 - 154
[19] On some new generalized difference sequence spaces on seminormed spaces defined by a sequence of Orlicz functions
Bektas, Cigdem A.
[J]. MATHEMATICA SLOVACA, 2011, 61 (02) : 227 - 234
[20] Some double lacunary I-convergent sequence spaces of fuzzy numbers defined by Orlicz function
Savas, Ekrem
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2012, 23 (05) : 249 - 257

← 1 2 3 4 5 →