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Generalized difference sequences of fuzzy numbers

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  • Çolak, Rifat
  • Altınok, Hıfsı
  • Et, Mikail

Abstract

The idea of difference sequences of real (or complex) numbers was generalized by Et and Çolak [Et M, Çolak R. On some generalized difference sequence spaces. Soochow J Math 1995; 21(4): 377–86; Çolak R, Et M. On some generalized difference sequence spaces and related matrix transformations. Hokkaido Math J 1997; 26(3): 483–92]. In this paper, using the difference operator Δm and an Orlicz function, we introduce and examine some sequence spaces of fuzzy numbers. We study some of their properties like completeness, solidity, symmetricity, etc. We also give some relations related to these spaces.

Suggested Citation

  • Çolak, Rifat & Altınok, Hıfsı & Et, Mikail, 2009. "Generalized difference sequences of fuzzy numbers," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1106-1117.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1106-1117
    DOI: 10.1016/j.chaos.2007.08.065
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    References listed on IDEAS

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    1. Saadati, Reza & Park, Jin Han, 2006. "On the intuitionistic fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 331-344.
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