On statistical convergent sequence spaces of intuitionistic Fuzzy numbers

Shyamal Debnath; Vishnu Narayan Mishra; Jayanta Debnath

doi:10.5269/bspm.v36i1.30880

Shyamal Debnath Tripura University
Vishnu Narayan Mishra S.V National Institute of Technology, Surat
Jayanta Debnath NIT Agartala

DOI: https://doi.org/10.5269/bspm.v36i1.30880

Keywords: Intuitionistic fuzzy set, TIFN, solidity, normal

Abstract

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.