Reena Antal, Meenakshi Chawla, Vijay Kumar, “Statistical <nobr>$\Lambda$</nobr>-convergence in intuitionistic fuzzy normed spaces”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, Number 3,Pages <nobr>22

Research articles

Statistical $\Lambda$-convergence in intuitionistic fuzzy normed spaces

Reena Antal^a, Meenakshi Chawla^a, Vijay Kumar^b

^a Department of Mathematics, Chandigarh University, Mohali, Punjab, India
^b Department of Mathematics, Panipat Institute of Engineering and Technology, Panipat, Haryana, India

Abstract: The basic objective of this work is to define statistical $\Lambda$-convergence in intuitionistic fuzzy normed spaces. We have given some examples which show this method of convergence is more generalized. Further, we have defined the statistical $\Lambda$-Cauchy sequences in these spaces and given the Cauchy convergence criterion for this new notion of convergence.

Keywords and phrases: statistical convergence, statistical $\Lambda$-convergence, t-norm, t-conorm, intuitionistic fuzzy normed space.

MSC: 40A35, 26E50, 40G15, 46S40

Received: 26.03.2019

Language: English