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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 1

Ideal convergence in 2-fuzzy 2-normed spaces

Mohammad H.M. RASHİD
Ljubisa D.R. KOCİNAC
Sayfa
149–162
Yayın Tarihi
2022-10-18
DOI
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Further, we define $\mathcal{I}$-limit and $\mathcal{I}$-cluster points of a sequence in a 2-fuzzy 2-normed linear space and investigate the relations between these concepts.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we introduce the notion of $\mathcal{I}$-convergence and $\mathcal{I}$-Cauchyness of sequences in 2-fuzzy 2-normed spaces and established some basic results related to these notions.
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Temel Bulgular & Veri:In this paper we introduce the notion of $\mathcal{I}$-convergence and $\mathcal{I}$-Cauchyness of sequences in 2-fuzzy 2-normed spaces and established some basic results related to these notions.
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Sonuç & Katkı:Further, we define $\mathcal{I}$-limit and $\mathcal{I}$-cluster points of a sequence in a 2-fuzzy 2-normed linear space and investigate the relations between these concepts.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:2-fuzzy 2-norm · ideal convergence · ideal Cauchy sequence

Abstract

In this paper we introduce the notion of $\mathcal{I}$-convergence and $\mathcal{I}$-Cauchyness of sequences in 2-fuzzy 2-normed spaces and established some basic results related to these notions. Further, we define $\mathcal{I}$-limit and $\mathcal{I}$-cluster points of a sequence in a 2-fuzzy 2-normed linear space and investigate the relations between these concepts.

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Bu Makaleye Atıf Yap

RASHİD, M. H., KOCİNAC, L. D. (2022). Ideal convergence in 2-fuzzy 2-normed spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 1, 149–162. https://ajindex.com/articles/530002

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  1. S. Aytar, Statistical limit points of sequences of fuzzy numbers, Inform. Sci. 165 (2004), 129138. S. Aytar, M. Mammadov, S. Pehlivan, Statistical limit inferior and limit superior for sequences of fuzzy numbers, Fuzzy Sets Syst. 157:7 (2006), 976985. S. Aytar, S. Pehlivan, Statistical cluster and extreme limit points of sequences of fuzzy numbers, Inform. Sci. 177 (2007), 32903296. T. Bag, S.K. Samanta, Finite dimensional fuzzy normed linear spaces, J. Fuzzy Math. 11:3 (2003), 687705. T. Bag, S.K. Samanta, Fuzzy bounded linear operators, Fuzzy Sets Syst. 151:3 (2005), 513547. T. Bag, S.K. Samanta, A comparative study of fuzzy norms on a linear space, Fuzzy Sets Syst. 159 (2008), 670684. M. Balcerzak, K. Dems, A. Komisarski, Statistical convergence and ideal convergence for sequences of functions, J. Math. Anal. Appl. 328 (2007), 715729. A.I. Bernstein, A new kind of compactness for topological spaces, Fund. Math. 66 (1970), 185193. H. Çakalli, S. Ersan, Strongly lacunary ward continuity in 2-normed spaces, Sci. World J. 2014 (2014), Art. ID 479679, 5 pp. H. Çakalli, S. Ersan, New types of continuity in 2-normed spaces, Filomat 30:3 (2016), 525532. A. Caserta, G. Di Maio, Lj.D.R. Kocinac, Statistical convergence in function spaces, Abstr. Appl. Anal. 2011 (2011), Article ID 420419, 11 pages. S.C. Cheng, J.N. Mordeson, Fuzzy linear operators and fuzzy normed linear spaces, Bull. Cal. Math. Soc 86 (1994), 429436. P. Das, S.K. Ghosal, Some further results on I-Cauchy sequences and condition (AP), Comput. Math. Appl. 59 (2010), 25972600. P. Das, S. Pal, S.K. Ghosal, Further investigations of ideal summability in 2-normed spaces, Appl. Math. Letters 24 (2011), 3943. P. Das, E. Savaş, On I-statistically pre-Cauchy sequences, Taiwanese J. Math. 18:1 (2014), 115126. K. Dems, On I-Cauchy sequences, Real Anal. Exch. 30:1 (2004-2005), 123128. G. Di Maio, Lj.D.R. Kocinac, Statistical convergence in topology, Topology Appl. 156:1 (2008), 2845. S. Ersan, H. Çakalli, Ward continuity in 2-normed spaces, Filomat 29:7 (2015), 15071513. S. Gähler, 2-metrishe Räume und ihr topologishe struktur, Math. Nachr. 26 (1963), 115148. H. Fast, Sur la convergence statistique, Colloq. Math. 2 (1951), 241244. C. Felbin, Finite dimensional fuzzy normed linear spaces, Fuzzy Sets Syst. 48 (1992), 239 248. J.A. Fridy, On statistical convergence, Analysis 5 (1985), 301313. B. Hazarika, On ideal convergent sequences in fuzzy normed linear spaces, Afrika Matematika 25:4 (201