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

Authors

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

DOI:

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

Keywords:

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

Abstract

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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Author Biographies

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

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Published

2012-08-27

How to Cite

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

Issue

Vol. 35 No. 1 (2013)

Section

Matematics

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