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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, номер 3, страницы 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

Аннотация: 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.

Ключевые слова и фразы: statistical convergence, statistical $\Lambda$-convergence, t-norm, t-conorm, intuitionistic fuzzy normed space.

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

Поступила в редакцию: 26.03.2019

Язык публикации: английский



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