Article
On Asymptotically Ideal φ-Statistical Equivalent Sequences of Fuzzy Real Numbers
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Abstract
In this paper we introduce some definitions which are the natural combination of the definition of asymptotic equivalence, statistical convergence, φ-statistical convergence of fuzzy real numbers and ideal. In addition, we introduce asymptotically ideal equivalent sequences of fuzzy real numbers and established some relations related to this concept. Finally we introduce the notion of Cesaro Orlicz asymptotically equivalent sequences of fuzzy real numbers and establish their relationship with other classes.
Keywords
Asymptotic equivalence, statistical convergence, φ-sequence, ideal convergence, fuzzy number, Orlicz function
Citation
Hazarika, B. & Esi, A. (2015). On asymptotically ideal φ-statistical equivalent sequences of fuzzy real numbers. Journal of Analysis & Number Theory, 3(2), 79–88. https://doi.org/10.18576/jant/030201
B. Hazarika and A. Esi, “On asymptotically ideal φ-statistical equivalent sequences of fuzzy real numbers,” Journal of Analysis & Number Theory, vol. 3, no. 2, pp. 79–88, 2015, doi: 10.18576/jant/030201.
Hazarika B, Esi A. On asymptotically ideal φ-statistical equivalent sequences of fuzzy real numbers. Journal of Analysis & Number Theory. 2015;3(2):79–88. doi:10.18576/jant/030201.
Hazarika, B. and Esi, A. (2015), ‘On asymptotically ideal φ-statistical equivalent sequences of fuzzy real numbers’, Journal of Analysis & Number Theory, 3(2), pp. 79–88. Available at: https://doi.org/10.18576/jant/030201.
Hazarika, Bipan, and Ayhan Esi. “On Asymptotically Ideal Φ-statistical Equivalent Sequences of Fuzzy Real Numbers.” Journal of Analysis & Number Theory, vol. 3, no. 2, 2015, pp. 79–88. https://doi.org/10.18576/jant/030201.
Hazarika, Bipan, and Ayhan Esi. “On Asymptotically Ideal Φ-statistical Equivalent Sequences of Fuzzy Real Numbers.” Journal of Analysis & Number Theory 3, no. 2 (2015): 79–88. https://doi.org/10.18576/jant/030201.
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Published by: Engineering Journals
