\mathcal{I}_۲-convergence of double sequences of\\ fuzzy numbers

Erdinc. Dundar; Ozer Talo

\mathcal{I}_۲-convergence of double sequences of\\ fuzzy numbers

Publish place: Iranian Journal of Fuzzy Systems، Vol: 10، Issue: 3

Publish Year: 1392

نوع سند: مقاله ژورنالی

زبان: English

This Paper With 14 Page And PDF Format Ready To Download

دریافت فایل کامل Paper

Certificate
من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

https://civilica.com/doc/1474277

شناسه ملی سند علمی:

JR_IJFS-10-3_004

تاریخ نمایه سازی: 5 تیر 1401

Abstract:

In this paper, we introduce and study the concepts of \mathcal{I}_۲-convergence, \mathcal{I}_۲^{*}-convergence for double sequences of fuzzy real numbers, where \mathcal{I}_۲ denotes the ideal of subsets of \mathbb N \times \mathbb N. Also, we study some properties and relations of them.

Keywords:

Ideal , Double sequences , mathcal{I}-Convergence , Fuzzy number sequences

Authors

Erdinc. Dundar

Department of Mathematics, Afyon Kocatepe University, ۰۳۲۰۰ Afyonkarahisarn,Turkey

Ozer Talo

Department of Mathematics, Celal Bayar University, ۴۵۰۴۰ Manisa, Turkey

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :

bibitem{Ba-Fb}B. Altay and F. Bad{s}ar, emph{Some new spaces of double ...
bibitem{altýn}H. Alt{i}nok, Y. Alt{i}n and M. Id{s}{i}k, emph{Statistical convergence and ...
bibitem{bede}B. Bede and S. G. Gal, textit{Almost periodic fuzzy-number-valued functions},Fuzzy ...
bibitem{cc-ba}d{C}. CÇakan and B. Altay, emph{Statistically boundedness and statistical coreof ...
bibitem{das ۱}P. Das, P. Kostyrko, W. Wilczy'{n}ski and P. Malik, ...
bibitem{das ۲}P. Das and P. Malik, emph{On extremal I-limit points ...
bibitem{edba FU}E. D"{u}ndar and B. Altay emph{mathcal{I}_۲-uniform convergence of doublesequences ...
bibitem{fang}J. X. Fang and H. Huang, textit{On the level convergence ...
bibitem{fast}H. Fast, emph {Sur la convergence statistique}, Colloq. Math.,textbf{۲} (۱۹۵۱), ...
bibitem{fr-st}J. A. Fridy, emph{On statistical convergence}, Analysis,textbf{۵} (۱۹۸۵), ۳۰۱۳۱۳ ...
bibitem{fr- c.o}J. A. Fridy and C. Orhan, emph{Statistical limit superior ...
bibitem{fr-st-lim}J. A. Fridy, emph{Statistical limit points}, Proc. Amer. Math. Soc.,textbf{۱۱۸} ...
bibitem{kos۱}P. Kostyrko, T. u{S}al'{a}t and W. Wilczy'{n}ski, emph{I-convergence},Real Anal. Exchange, ...
bibitem{kos۲}P. Kostyrko, M. Mav{c}aj, T. u{S}al'{a}t and M. Sleziak, emph{I-convergenceand ...
bibitem{kumar ۱}V. Kumar, emph{On I and I^{*}-convergence of double sequences},Math. ...
bibitem{kumar F}V. Kumar and K. Kumar, emph{On the ideal convergence ...
bibitem{Matloka}M. Matloka, emph{Sequences of fuzzy numbers}, Busefal, textbf{۲۸} (۱۹۸۶), ۲۸۳۷ ...
bibitem{murse-st}Mursaleen and O. H. H. Edely, emph{Statistical convergence of doublesequences}, ...
bibitem{Nanda}S. Nanda, emph{On sequences of fuzzy numbers}, Fuzzy Sets and ...
bibitem{nabiev}A. Nabiev, S. Pehlivan and M. G"{u}rdal, emph{On I-Cauchy sequence},Taiwanese ...
bibitem{nuray}F. Nuray and W. H. Ruckle, emph{Generalized statistical convergence and ...
bibitem{nuray ۲}F. Nuray, emph{Lacunary statistical convergence of sequences of fuzzy ...
bibitem{nuray ۳}F. Nuray and E. Savad{s}, emph{Statistical convergence of sequences ...
bibitem{prinsgheim}A. Pringsheim, emph{Zur theorie der zweifach unendlichen Zahlenfolgen},Math. Ann., textbf{۵۳} ...
bibitem{rath}D. Rath and B. C. Tripaty, emph{On statistically convergence andstatistically ...
bibitem{saadati}R. Saadati, emph{On the I-fuzzy topological spaces}, Chaos, Solitons and ...
bibitem{salat st}T. u{S}al'{a}t, emph {On statistically convergent sequences ofreal numbers}, ...
bibitem{Salat}T. u{S}al'{a}t, B. C. Tripaty and M. Ziman, emph{On I-convergencefield}, ...
bibitem{Savas۱}E. Savad{s}, emph{On statistical convergent sequences of fuzzy numbers},Information Sciences, ...
bibitem{Savas۲}E. Savad{s} and Mursaleen, emph{On statistically convergentdouble sequences of fuzzy ...
bibitem{Savas۳}E. Savad{s}, emph{A note on double sequences of fuzzy numbers}, ...
bibitem{Savas۴}E. Savad{s}, emph{(A)_{Delta}-double sequence spaces of fuzzy numbers via orlicz ...
bibitem{scho}I. J. Schoenberg, emph {The integrability of certain functions andrelated ...
bibitem{otfb}"{O}. Talo and F. Bad{s}ar, emph{Determination of theduals of classical ...
bibitem{tri ۲}B. C. Tripathy, emph{Statistically convergent double sequences}, Tamkang J. ...
bibitem{tri ۳}B. C. Tripathy and B. Sarma, emph{Double sequence spaces ...
bibitem{z}L. A. Zadeh, textit{Fuzzy sets}, Information and Control, textbf{۸}(۱۹۶۵), ۳۳۸۳۵۳ ...

نمایش کامل مراجع