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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, Number 3, Pages 22–33 (Mi basm515)  
Research articles

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

Reena Antala, Meenakshi Chawlaa, Vijay Kumarb

a Department of Mathematics, Chandigarh University, Mohali, Punjab, India
b Department of Mathematics, Panipat Institute of Engineering and Technology, Panipat, Haryana, India
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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.
Received: 26.03.2019
Document Type: Article
MSC: 40A35, 26E50, 40G15, 46S40
Language: English
Citation: Reena Antal, Meenakshi Chawla, Vijay Kumar, “Statistical $\Lambda$-convergence in intuitionistic fuzzy normed spaces”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, no. 3, 22–33
Citation in format AMSBIB
\Bibitem{AntChaKum19}
\by Reena~Antal, Meenakshi~Chawla, Vijay~Kumar
\paper Statistical $\Lambda$-convergence in intuitionistic fuzzy normed spaces
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2019
\issue 3
\pages 22--33
\mathnet{http://mi.mathnet.ru/basm515}
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