On some difference sequence spaces of fuzzy numbers

In this paper, using the difference operator of order m and a lacunary sequence $$\theta = (k_{r})$$θ=(kr), we introduce and examine some classes of sequences of fuzzy numbers. Furthermore, we study some of their properties like completeness, solidity, symmetricity and convergence free. We also give some inclusion relations related to these classes.

[1]  Sunil K. Sharma,et al.  DOUBLE ENTIRE DIFFERENCE SEQUENCE SPACES OF FUZZY NUMBERS , 2012 .

[2]  B. Surender Reddy,et al.  On Some Generalized Difference Sequence Spaces , 2010 .

[3]  Hifsi Altinok Statistical convergence of order β for generalized difference sequences of fuzzy numbers , 2014, J. Intell. Fuzzy Syst..

[4]  V. Lakshmikantham,et al.  Theory of Fuzzy Differential Equations and Inclusions , 2003 .

[5]  Mikail Et Strongly almost summable difference sequences of order m defined by a modulus , 2003 .

[6]  E. Savaş Double almost lacunary statistical convergence of order α , 2013, Advances in Difference Equations.

[7]  Feyzi Basar,et al.  Sequences of Fuzzy Numbers , 2012 .

[8]  M. Et,et al.  Some Geometric Inequalities in a New Banach Sequence Space , 2007 .

[9]  Sudarsan Nanda,et al.  On sequences of fuzzy numbers , 1989 .

[10]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[11]  Ekrem Savas,et al.  Some double lacunary I-convergent sequence spaces of fuzzy numbers defined by Orlicz function , 2012, J. Intell. Fuzzy Syst..

[12]  Mikail Et,et al.  Generalized Cesàro difference sequence spaces of non-absolute type involving lacunary sequences , 2013, Appl. Math. Comput..

[13]  V. Karakaya Some Geometric Properties of Sequence Spaces Involving Lacunary Sequence , 2007 .

[14]  H. Kizmaz,et al.  On Certain Sequence Spaces , 1981, Canadian Mathematical Bulletin.

[15]  Fatih Nuray,et al.  Lacunary statistical convergence of sequences of fuzzy numbers , 1998, Fuzzy Sets Syst..

[16]  P. Kloeden,et al.  Metric spaces of fuzzy sets , 1990 .

[17]  Ekrem Savas,et al.  A note on sequence of fuzzy numbers , 2000, Inf. Sci..

[18]  Bilal Altay,et al.  On the Space of Sequences of p-Bounded Variation and Related Matrix Mappings , 2003 .

[19]  J. A. Fridy,et al.  Lacunary statistical convergence. , 1993 .

[20]  Allen R. Freedman,et al.  SOME CESARO-TYPE SUMMABILITY SPACES , 1978 .

[21]  Mohammad Mursaleen,et al.  Almost lacunary statistical and strongly almost lacunary convergence of sequences of fuzzy numbers , 2009, Math. Comput. Model..

[22]  Mikail Et,et al.  Lacunary Statistical and Lacunary Strongly Convergence of Generalized Difference Sequences of Fuzzy Numbers , 2006, Comput. Math. Appl..