Affiliations: [a]
Department of Mathematics, Aligarh Muslim University, Aligarh, Uttar Pradesh, India
| [b]
Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada
| [c] China Medical University, Taichung, Taiwan, Republic of China
| [d]
Department of Mathematics, Model Institute of Engineering and Technology, Kot Bhalwal, Jammu and Kashmir, India
Correspondence:
[*]
Corresponding author. M. Mursaleen, Department of Mathematics, Aligarh Muslim University, Aligarh 202002, Uttar Pradesh, India. E-mail: mursaleenm@gmail.com.
Abstract: The main object of this paper is to define certain new spaces of statistically convergent and strongly summable sequences of fuzzy numbers. We give necessary and sufficient conditions for a sequence of fuzzy numbers to be fuzzy λ-statistically pre-Cauchy and fuzzy λ-statistically convergent. We also establish some inclusion relations between the associated sets wF (M, p, λ) and SF (λ) supported by some numerical examples.
