λ-Difference sequence spaces of fuzzy numbers

被引：44

作者：

Altinok, Hifsi ^{[1
]}

Colak, Rifat ^{[1
]}

Et, Mikail ^{[1
]}

机构：

[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey

来源：

FUZZY SETS AND SYSTEMS | 2009年 / 160卷 / 21期

关键词：

Orlicz function; Fuzzy number; Statistical convergence; Difference sequence; STATISTICAL CONVERGENCE; SETS;

D O I：

10.1016/j.fss.2009.06.002

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, using the difference operator of order in and an Orlicz function, we introduce and examine some classes of sequences of fuzzy numbers. We give the relations between the strongly Cesaro type convergence and statistical convergence in these spaces. Furthermore, we study some of their properties like completeness, solidity, symmetricity, etc. We also give some inclusion relations related to these classes. (c) 2009 Elsevier B.V. All rights reserved.

引用

页码：3128 / 3139

页数：12

共 26 条

[1] Lacunary statistical and lacunary strongly convergence of generalized difference sequences of fuzzy numbers
Altin, Y.
Et, M.
Colak, R.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 52 (6-7) : 1011 - 1020
[2] Ba M., 2003, J. Fuzzy Math., V11, P757
[3] Basar F., 2003, Ukrainian Math. J., V55, P136, DOI [10.1023/A:1025080820961, DOI 10.1023/A:1025080820961]
[4] Lacunary strongly Δ-convergent sequences of fuzzy numbers
Bilgin, T
[J]. INFORMATION SCIENCES, 2004, 160 (1-4) : 201 - 206
[5] Theory of fuzzy limits
Burgin, M
[J]. FUZZY SETS AND SYSTEMS, 2000, 115 (03) : 433 - 443
[6] Generalized difference sequences of fuzzy numbers
Colak, Rifat
Altinok, Hifsi
Et, Mikail
[J]. CHAOS SOLITONS & FRACTALS, 2009, 40 (03) : 1106 - 1117
[7] Connor J, 1999, APPL NUM HARM ANAL, P403
[8] MEASURES AND IDEALS OF C-ASTERISK(X)
CONNOR, J
SWARDSON, MA
[J]. PAPERS ON GENERAL TOPOLOGY AND APPLICATIONS, 1993, 704 : 80 - 91
[9] METRIC-SPACES OF FUZZY-SETS
DIAMOND, P
KLOEDEN, P
[J]. FUZZY SETS AND SYSTEMS, 1990, 35 (02) : 241 - 249
[10] Et M., 1995, Soochow J. of Math, V21, P377

← 1 2 3 →