On Fibonacci Ideal Convergence of Double Sequences in Intuitionistic Fuzzy Normed Linear Spaces
Abstract
The aim of this article is to introduce and study the notion of Fibonacci $% \mathcal{I}_{2}$-convergence on intuitionistic fuzzy normed linear space. We define the Fibonacci $\mathcal{I}_{2}$-Cauchy sequences and the Fibonacci $% \mathcal{I}_{2}$ completeness with respect to an intuitionistic fuzzy normed linear space.
Keywords
References
- Anastassiou, G.A., {\em Fuzzy approximation by fuzzy convolution type operators}, Comput. Math. Appl., \textbf{48}(2004), 1369--1386.
- Arslan M., D\"{u}ndar E., \textit{$\mathcal{I}$-convergence and $% \mathcal{I}$-Cauchy sequence of functions in 2-normed spaces}, Konuralp J. Math., \textbf{6:1}(2018), 57-- 62.
- Atanassov, K.T., \textit{Intuitionistic fuzzy sets}, Fuzzy Sets Syst., \textbf{20}(1986), 87--96.
- Atanassov, K., Pasi, G., Yager, R., Intuitionistic fuzzy interpretations of multi-person multicriteria decision making, in: Proceedings of 2002 First International IEEE Symposium Intelligent Systems, \textbf{1}(2002), 115-119.
- Bakery, A.A.,\textit{ Operator ideal of Cesaro type sequence spaces involving lacunary sequence,} Abst. Appl. Anal, \textbf{2014}(2014), 6 pp., Article ID 419560, http://dx.doi.org/10.1155/2014/419560.
- Bakery, A.A., Mohammed, M.M., \textit{On lacunary mean ideal convergence in generalized random $n$-normed spaces}, Abstract Appl. Anal., \textbf{2014}(2014), 11 pp., Article ID:101782, http://dx.doi.org/10.1155/2014/101782.
- Barros, L.C., Bassanezi, R.C., Tonelli, P.A., \textit{Fuzzy modelling in population dynamics}, Ecol Model, \textbf{128}(2000), 27--33.
- Debnath, P., \textit{Lacunary ideal convergence in intuitionistic fuzzy normed linear spaces}, Comput. Math. Appl., \textbf{63}(2012), 708--715.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Conference Paper
Publication Date
December 30, 2019
Submission Date
August 19, 2019
Acceptance Date
December 4, 2019
Published in Issue
Year 2019 Volume: 11