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Title: :  A Study on Systematic Review of Fuzzy Variational Problems
PaperId: :  18120
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 8 Issue 5 2022
DUI:    16.0415/IJARIIE-18120
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Govind Madhukar BamdaleResearch Scholar, Sunrise University, Alwar
Dr. Sonu KumarProfessor, Sunrise University, Alwar

Abstract

MATHEMATICS
Fuzzy; Euler; Variational.
The study of fuzzy variational problems has received significant attention over the past decade due to its successful applications in numerous fields, such as image segmentation and optimal control theory. The fuzzy Euler-Lagrange equations provide the necessary optimality conditions for solving fuzzy variational problems explicitly and have been studied under several differentiability conditions. In this paper, we provide a systematic review to recap the history of variational principle in the calculus of variations and compare it with the existing techniques in the fuzzy setting. We begin with the preliminary concepts and definitions of fuzzy theory and scrutinize the Euler-Lagrange’s strategy via systematically searched studies concerning fuzzy variational problems to highlight the importance of improving the existing methods. Finally, we set up the main open problems regarding the limitations of the current approaches, shedding light on future directions.

Citations

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IJARIIE Govind Madhukar Bamdale, and Dr. Sonu Kumar. "A Study on Systematic Review of Fuzzy Variational Problems" International Journal Of Advance Research And Innovative Ideas In Education Volume 8 Issue 5 2022 Page 22-26
MLA Govind Madhukar Bamdale, and Dr. Sonu Kumar. "A Study on Systematic Review of Fuzzy Variational Problems." International Journal Of Advance Research And Innovative Ideas In Education 8.5(2022) : 22-26.
APA Govind Madhukar Bamdale, & Dr. Sonu Kumar. (2022). A Study on Systematic Review of Fuzzy Variational Problems. International Journal Of Advance Research And Innovative Ideas In Education, 8(5), 22-26.
Chicago Govind Madhukar Bamdale, and Dr. Sonu Kumar. "A Study on Systematic Review of Fuzzy Variational Problems." International Journal Of Advance Research And Innovative Ideas In Education 8, no. 5 (2022) : 22-26.
Oxford Govind Madhukar Bamdale, and Dr. Sonu Kumar. 'A Study on Systematic Review of Fuzzy Variational Problems', International Journal Of Advance Research And Innovative Ideas In Education, vol. 8, no. 5, 2022, p. 22-26. Available from IJARIIE, https://ijariie.com/AdminUploadPdf/A_Study_on_Systematic_Review_of_Fuzzy_Variational_Problems_ijariie18120.pdf (Accessed : 22 January 2025).
Harvard Govind Madhukar Bamdale, and Dr. Sonu Kumar. (2022) 'A Study on Systematic Review of Fuzzy Variational Problems', International Journal Of Advance Research And Innovative Ideas In Education, 8(5), pp. 22-26IJARIIE [Online]. Available at: https://ijariie.com/AdminUploadPdf/A_Study_on_Systematic_Review_of_Fuzzy_Variational_Problems_ijariie18120.pdf (Accessed : 22 January 2025)
IEEE Govind Madhukar Bamdale, and Dr. Sonu Kumar, "A Study on Systematic Review of Fuzzy Variational Problems," International Journal Of Advance Research And Innovative Ideas In Education, vol. 8, no. 5, pp. 22-26, Sep-Oct 2022. [Online]. Available: https://ijariie.com/AdminUploadPdf/A_Study_on_Systematic_Review_of_Fuzzy_Variational_Problems_ijariie18120.pdf [Accessed : 22 January 2025].
Turabian Govind Madhukar Bamdale, and Dr. Sonu Kumar. "A Study on Systematic Review of Fuzzy Variational Problems." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 8 number 5 (22 January 2025).
Vancouver Govind Madhukar Bamdale, and Dr. Sonu Kumar. A Study on Systematic Review of Fuzzy Variational Problems. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2022 [Cited : 22 January 2025]; 8(5) : 22-26. Available from: https://ijariie.com/AdminUploadPdf/A_Study_on_Systematic_Review_of_Fuzzy_Variational_Problems_ijariie18120.pdf
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