10.1186/2251-7456-6-53

I-convergent sequences of fuzzy real numbers defined by Orlicz function

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  • Bipul Sarma*1,
  1. MC College, Gauhati University, Barpeta, Assam, IN

Published in Issue 2012-10-17

How to Cite

Sarma, B. (2012). I-convergent sequences of fuzzy real numbers defined by Orlicz function. Mathematical Sciences, 6(1). https://doi.org/10.1186/2251-7456-6-53
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Abstract

Abstract In this article we introduce some I -convergent sequence spaces of fuzzy real numbers defined by Orlicz function and study their different properties such as solidity and symmetricity. The notion of I -convergence generalizes the notion of some particular type of convergence of sequences.

Keywords

  • Fuzzy real numbers,
  • I-convergence,
  • Solid space,
  • Symmetric space,
  • Orlicz function,
  • 40A05,
  • 40D25,
  • 46A45,
  • 46E30
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References

  1. Kostyrko et al. (2000–2001) I-convergence (pp. 669-686)
  2. Šalát et al. (2004) On some properties of I-convergence (pp. 279-286)
  3. Zadeh (1965) Fuzzy sets (pp. 338-353) https://doi.org/10.1016/S0019-9958(65)90241-X
  4. Matloka (1986) Sequences of fuzzy numbers (pp. 28-37)
  5. Kaleva and Seikkala (1984) On fuzzy metric spaces (pp. 215-229) https://doi.org/10.1016/0165-0114(84)90069-1
  6. Tripathy and Sarma (2006) Statistically convergent double sequence spaces defined by Orlicz function 32(2) (pp. 211-221)
  7. Tripathy and Sarma (2011) Some double sequence spaces of fuzzy numbers defined by Orlicz functions 31(1, Ser B) (pp. 134-140) https://doi.org/10.1016/S0252-9602(11)60215-4
  8. Lindenstrauss and Tzafriri (1971) On Orlicz sequence spaces (pp. 379-390) https://doi.org/10.1007/BF02771656
  9. Kamthan and Gupta (1980) Marcel Dekkar