On Topological Properties of Fuzzy Sequence Space through Orlicz Function

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Page Numbers: 132-144
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Published: Sep 8, 2024
Digital Object Identifier: 10.58578/mjaei.v1i3.3810
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Authors:
Gyan Prasad Paudel1, Kesar Singh Rana2, Nirak Kumar Shahi3, Aasis Baral4
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Gyan Prasad Paudel
Mid-Western University, Surkhet, Nepal
Kesar Singh Rana
Mid-Western University, Surkhet, Nepal
Nirak Kumar Shahi
Mid-Western University, Surkhet, Nepal
Aasis Baral
Mid-Western University, Surkhet, Nepal

Abstract

In this study, a new class of fuzzy number sequences is defined using Orlicz functions, and various useful classes with a variety of structures have been imposed. The behavior of these new classes has been examined as well as their topological properties and relationship to other fuzzy sequences.

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How to Cite
Paudel, G. P., Rana, K. S., Shahi, N. K., & Baral, A. (2024). On Topological Properties of Fuzzy Sequence Space through Orlicz Function. Mikailalsys Journal of Advanced Engineering International, 1(3), 132-144. https://doi.org/10.58578/mjaei.v1i3.3810

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References

Altay, B., &Başar, F. (2005). Some new spaces of double sequences. Journal of Mathematical Analysis and Applications, 309(1), 70-90.

Başarir, M., & Mursaleen, M. (2004). Some difference sequence spaces of fuzzy number. J. Fuzzy Math, 12(1), 1-6.

Dabbas, A. F., & Battor, A. H.: Convergent double sequence of fuzzy real numbers defined by double Orilz function, International Journal of Academic and Applied Research, 4(6) (2020),22-31.

Hardy, G. H. (1904). On the Convergence of Certain Multiple Series Proc. London Math. Soc, 1, 124-128.

Mansoor, M. M., &Battor, A. H. (2021, March). Some New Double Sequence Spaces of Fuzzy Numbers Defined by Double Orlicz Functions Using A Fuzzy Metric. In Journal of Physics: Conference Series (Vol. 1818, No. 1, p. 012092). IOP Publishing.

Matloka, M. (1986) Sequence of fuzzy numbers, Busefal, 28: 28-37

Mursaleen, M., Mohiuddine, S. A., & Edely, O. H. (2010). On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces, Computers & mathematics with applications, 59(2), 603-611.

Nanda, S. (1989).On sequences of fuzzy numbers. Fuzzy Sets and System, 33; 123-126.

Pahari, N. P. (2014). On normed space valued total paranormed Orlicz space of null sequences and its topological structures, International Journal of Mathematics Trends and Technology, 6, 105-112.

Paudel, G. P., Pahari, N. P., & Kumar, S. : Application of fuzzy logic through the Bellmen-Zadeh maximin method, Journal of Nepal Mathematical Society, 5(1) (2022), 41-47.

Paudel, G. P., Pahari, N. P., & Kumar, S. (2022). Double sequence space of Fuzzy real numbers defined by Orlicz function. The Nepali Mathematical Sciences Report, 39(2), 85-94.

Paudel, G. P., Pahari, N. P., & Kumar, S. (2022). Generalized form of p-bounded variation of sequences of fuzzy real numbers. Pure and Applied Mathematics journal, 11(3), 47-50.

Paudel, G. P., Sahani, S. K., & Pahari, N. P. (2022). On Generalized Form of Difference Sequence Space of Fuzzy Real Numbers Defined by Orlicz Function. Nepal Journal of Mathematical Sciences, 3(2), 31-38.

Paudel, G. P., Sahani, S. K., & Pahari, N. P. (2022). Generalized Form of Difference Sequence Space of Fuzzy Real Numbers Defined by Orlicz Function. Nepal Journal of Mathematical Sciences, 3(2).

Paudel, G. P., Pahari, N. P., & Kuimar, S. (2023). Topological Properties of Difference Sequence Space Through Orlicz-Paranorm function, Advances and Applications in Mathematical Sciences, 22(8), 1689-1703.

Paudel, G. P., Pahari, N. P., & Kumar, S. (2022): On sequence space of fuzzy real numbers defined by Orlicz functioin and paranorm, Jilin Daxue Xuebao (Gongxueban)/Journal of Jilin University (Engineering and Technology Edition), 42(2-2023)(2023), 494-509.

Paudel, G. P., Upadhyay, P. K., & Baral, A. : Fuzzy arithmetic–based algorithm for identifying medical conditions for better treatment, Mikailalsys Journal of Mathematics and Statistics, 1(1), 35-46, 2023.

Savas, E., & Patterson, R. F. (2007). Double sequence spaces are defined by Orlicz functions. Iranian Journal of Science and Technology (Sciences), 31(2), 183-188.

Tripathy, B.C. and Sharma B. (2008). Sequences of fuzzy numbers defined by orlicz function. MathematicSlovaca,58,621-628

Zadeh, L. A. (2008). Is there a need for fuzzy logic? .Information Sciences, 178(13), 2751-2779.