Boletim da Sociedade Paranaense de Matemática (Jan 2018)

On statistical convergent sequence spaces of intuitionistic Fuzzy numbers

  • Shyamal Debnath,
  • Vishnu Narayan Mishra,
  • Jayanta Debnath

DOI
https://doi.org/10.5269/bspm.v36i1.30880
Journal volume & issue
Vol. 36, no. 1
pp. 235 – 242

Abstract

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In the present paper we introduce the classes of sequence stcIFN, stc0IFN and st∞IFN of statistically convergent, statistically null and statistically bounded sequences of intuitionistic fuzzy number based on the newly defined metric on the space of all intuitionistic fuzzy numbers (IFNs). We study some algebraic and topological properties of these spaces and prove some inclusion relations too.

Keywords