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As it is known, Neutrosophic theory, which brings a new breath to daily life and complex scientific studies which we encounter with many uncertainties, is a rapidly developing field with many new study subjects. Thus, researchers show great interest in this philosophical approach and try to transfer related topics to this field quickly. As a result, it is thought that the selected convergence type is suitable for the Neutrosophic normed space structure and is a guide for new convergence types. Ali, G. Multiattribute decision-making under Fermatean fuzzy bipolar soft framework. Granular Computing, 7 2 , Intuitionistic fuzzy sets.

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This work is concerned with several important different types of convergence that will be described on neutrosophic normed spaces. In the study, arithmetic convergence was combined with different types of statistical convergence and then integrated into the structure of neutrosophic spaces established through the membership function. For this purpose, in the neutrosophic normed space, firstly, the concepts of arithmetic convergence and arithmetic statistical convergence are given, then some important definitions that can be established with lacunary sequences and ideal structures and some relationships between convergent sequences in this sense are examined. Furthermore, new convergence definitions were established by evaluating lambda sequences together with arithmetic convergence and statistical convergence with the help of neutrosophic normed space structure properties. Finally, with the help of the definition of graduated convergence, the inclusion relation between the two set is given. Arithmetic statistically convergence , Ideals , Neutrophic normed spaces. English Turkish English. Research Article. EN TR. Create Research Close.

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How to cite: Colak, E. Preprints , Colak, E. Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Close menu. Wikify editor is a simple editor for wiki-style mark-up.

As it is known, Neutrosophic theory, which brings a new breath to daily life and complex scientific studies which we encounter with many uncertainties, is a rapidly developing field with many new study subjects. Thus, researchers show great interest in this philosophical approach and try to transfer related topics to this field quickly. As a result, it is thought that the selected convergence type is suitable for the Neutrosophic normed space structure and is a guide for new convergence types. English Turkish English. Research Article. Create Research Close. References Ali, G. Multiattribute decision-making under Fermatean fuzzy bipolar soft framework.

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Kostyrko, P. Li, F. Sorokin, Arms, alliances and security tradeoffs in enduring rivalries, Int. Alpert, Determinant buying attributes: Meaning and measurement, J. In this paper, we introduce and investigate a new family of sequences called the generalized Fibospinomials or the generalized Fibonacci polynomial spinors or Horadam polynomial spinors. Karimzadeh, M. Some results of neutrosophic normed spaces via fibonacci matrix, U. Kisi, O. Fuzzy Sets and Systems, 20 1 , Xin, M. Readers who post comments are obliged to declare any competing interests, financial or otherwise. Sunny, M. Annual Reviews in Control, 29 1 , Previous Article Next Article.

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I-lacunary arithmetic statistical convergence. Journal Home Page Archive. Dachyar, H. Data , 30 , — Human Comput. Bayram, M. Mohamed, A. Rendering of mathematical equations is done with MathJax. Wen, D. Tools Email to a friend.