On Casaro Sequence Space of Fuzzy Numbers Defined by a Modulus Function

Ayhan Esi¹, Vakeel A. Khan²

¹Department of Mathematics, Science and Art Faculty, Adiyaman University, Adiyaman, Turkey.
²Department of Mathematics, Aligarh Muslim University, Aligarh, India.

DOI: 10.4236/oalib.1100920                

Abstract

The main purpose of this paper is to introduce the sequence space ces^F(f, p) of sequence of fuzzy numbers defined by a modulus function. Furthermore, some inclusion theorems have been discussed.

Keywords

Fuzzy Numbers, Modulus Function

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Zadeh, L.A. (1965) Fuzzy Sets. Information and Control, 8, 338-353. http://dx.doi.org/10.1016/S0019-9958(65)90241-X
[2]	Matloka, M. (1986) Sequences of Fuzzy Numbers. Busefal, 28, 28-37.
[3]	Kloeden, P. and Diamond, P. (1994) Metric Spaces of Fuzzy Sets, Theory and Applications. World Scientific, Singapore.
[4]	Nanda, S. (1989) On Sequences of Fuzzy Numbers. Fuzzy Sets and System, 33, 123-126. http://dx.doi.org/10.1016/0165-0114(89)90222-4
[5]	Esi, A. (2006) On Some New Paranormed Sequence Spaces of Fuzzy Numbers Defined by Orlicz Functions and Statistical Convergence. Mathematical Modelling and Analysis, 1, 379-388.
[6]	Maddox, I.J. (1967) Spaces of Strongly Summable Sequence. Quarterly Journal of Mathematics. Oxford, Second Series, 18, 345-355. http://dx.doi.org/10.1093/qmath/18.1.345
[7]	Maddox, I.J. (1987) Inclusion between FK Spaces and Kuttner’s Theorem. Mathematical Proceedings of the Cambridge Philosophical Society, 101, 523-527. http://dx.doi.org/10.1017/S0305004100066883