On generalized difference sequence spaces of fuzzy numbers - doi: 10.4025/actascitechnol.v35i1.15566

Autores

  • Binod Chandra Tripathy Institute of Advanced Study in Science and Technology Autor
  • Shyamal Debnath National Institute of Technology Autor

DOI:

https://doi.org/10.4025/actascitechnol.v35i1.15566

Palavras-chave:

fuzzy numbers, paranorm, modulus function, difference sequence, multiplier sequence

Resumo

The idea of difference sequence space was introduced by Kizmaz (1981) and this concept was generalized by Tripathy and Esi (2006). In this article we introduced the paranormed sequence spaces cF(f,Λ,Δm,p), (f,Λ,Δm,p) and (f,Λ,Δm,p) of fuzzy numbers associated with the multiplier sequence Λ= (λk) defined by a modulus function f. We study some of their properties like solidity, symmetricity, completeness etc. and prove some inclusion results.

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Biografia do Autor

  • Binod Chandra Tripathy, Institute of Advanced Study in Science and Technology
    1Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Garchuk, Guwahati-781 035, India
  • Shyamal Debnath, National Institute of Technology

    Mathematics

    Assistant Professor

Publicado

2012-08-27

Edição

Seção

Matemática

Como Citar

Tripathy, B. C., & Debnath, S. (2012). On generalized difference sequence spaces of fuzzy numbers - doi: 10.4025/actascitechnol.v35i1.15566. Acta Scientiarum. Technology, 35(1), 117-121. https://doi.org/10.4025/actascitechnol.v35i1.15566

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