### ON SOME GENERALIZED DIFFERENCE SEQUENCE SPACES OF FUZZY NUMBERS DEFINED BY A SEQUENCE OF MODULI

**DOI Number**

**First page**

**Last page**

#### Abstract

cF0 (f; Λ; ∆m; p) and l1 F (f; Λ; ∆m; p) of fuzzy numbers associated with the multiplier sequence Λ = (λk) determined by a sequence of moduli f = (fk). Some of their properties like solidity, symmetricity, completeness etc. and inclusion relations are studied.

#### Keywords

#### Keywords

#### Full Text:

PDF#### References

Y.Altin and M.Et, Generalized difference sequence spaces defined by a modulus function in a locally convex space, Scoo. J. Math., 31(2005), no. 2, 233-243.

S.Debnath, D. Bhattacharya and J.Debnath, On Some Sequence Spaces of IFNs, Bull.Kerala Math. Asso. 12 (2015), no. 2, 125-133.

S.Debnath and J.Debnath, Some generalized statistical convergent sequence spaces of fuzzy numbers via ideals, Math. Sci. Lett., 2(2013), no. 2, 151-154.

S.Debnath and J.Debnath, Some ideal convergent sequence spaces of fuzzy real numbers, Palestine J. Mathematics, 3 (2014), no. 1, 27-32.

S.Debnath and J.Debnath, On I-statistically convergent sequence spaces defined by sequences of Orlicz functions using matrix transformation, Proecciones J. Math. 33(2014),no. 3, 277-285.

S.Debnath and S.Saha, On some I-convergent generalized difference sequence spaces associated with multiplier sequence defined by a sequence of modulli, Proecciones J. Math.,

(2015), no. 2, 137-145.

M. Et and R. Colak, On some generalized difference sequence spaces, Soochow J. Math.,21(1995), 377-386.

G. Goes and S. Goes, Sequences of bounded variation and sequences of Fourier coefficients,Math. Zeift., 118(1970), 93-102.

P. K. Kamthan, Bases in certain class of Frechet spaces, Tamking J. Math, 7(1976), 41-49.

H. Kizmaz, On certain sequence spaces, Canad. Math. Bull, 24(1981), no. 2, 169-176.

I. J. Maddox, Spaces of strongly summable sequences, Quart. Jour. Math (2nd Ser.)18(1967), 345-355.

H. Nakano, Concave modulars, J Math Soc. Japan, 5(1953), 29-49.

K.Raj and S.K.Sharma, Some strongly convergent difference sequence spaces defined by a modulus functions, NOVISAD J.Math, 42(2012), no.2, 61-73.

S. Simons, The sequences spaces l(Pv) and m(pv), Proc. London Math. Soc.,15(1965), no.3, 422-436.

B. C. Tripathy and A. Baruah, New type of difference sequence spaces of fuzzy real numbers;Math. Model. Anal, 14(2009), no. 3, 391-397.

B. C. Tripathy and P. Chandra, On some generalized difference paranormed sequence spaces associated with multiplier sequence defined by modulus function, Anal. Theory Appl, 27

(2011), no. 1, 21-27.

B. C. Tripathy and S. Debnath, On generalized difference sequence spaces of fuzzy numbers,Acta Sinet. Tech., 35(2013), no. 1, 117-121

B. C. Tripathy and S. Mahanta, On a class of vector valued sequences associated with multiplier sequences; Acta Math. Appl. Sin. (Eng. Ser.), 20(2004), no. 3, 487-494.

L. A. Zadeh, Fuzzy sets, Inform. and control, 8(1965), no. 1, 338-353

DOI: https://doi.org/10.22190/FUMI1703405D

### Refbacks

- There are currently no refbacks.

ISSN 0352-9665 (Print)