On fuzzy real valued generalized difference I-convergent sequence spaces defined by Musielak-Orlicz function

被引:10
作者
Hazarika, Bipan [1 ]
机构
[1] Rajiv Gandhi Univ, Dept Math, Doimukh 791112, Arunachal Prade, India
关键词
Ideal; I-convergent; difference sequence; fuzzy number; Musielak-Orlicz function; IDEAL CONVERGENCE;
D O I
10.3233/IFS-2012-0609
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 article, using the Musielak-Orlicz function M and the difference operator, we introduce the spaces of I-convergent generalized difference sequences of fuzzy numbers. We prove the completeness of these spaces. Further, we investigate some inclusion relations related to these spaces.
引用
收藏
页码:9 / 15
页数:7
相关论文
共 28 条
[1]  
Altin M. E. Y., 2005, Mathematical Modelling and Analysis, V10, P345
[2]  
[Anonymous], 1961, Convex functions and Orlicz spaces
[3]  
Binod Chandra Tripathy, 2004, [Acta Mathematicae Applicatae Sinica, Ying yung shu hseh hseh pao], V20, P231
[4]   Generalized difference sequences of fuzzy numbers [J].
Colak, Rifat ;
Altinok, Hifsi ;
Et, Mikail .
CHAOS SOLITONS & FRACTALS, 2009, 40 (03) :1106-1117
[5]  
Cui Y. A., 2003, LECT NOTES PURE APPL, P213
[6]  
FAST H., 1951, Colloq. Math., V2, P241
[7]  
Fridy JA, 1985, Analysis, V5, P301, DOI DOI 10.1524/ANLY.1985.5.4.301
[8]   ON CERTAIN SEQUENCE-SPACES [J].
KIZMAZ, H .
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1981, 24 (02) :169-176
[9]  
KOSTYRKO P., 2000, Real Anal. Exchange, V26, P669
[10]   On the ideal convergence of sequences of fuzzy numbers [J].
Kumar, Vijay ;
Kumar, Kuldeep .
INFORMATION SCIENCES, 2008, 178 (24) :4670-4678