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Year 2021, Issue: 37, 68 - 75, 31.12.2021
https://doi.org/10.53570/jnt.1034452

Abstract

References

  • L. A. Zadeh, Fuzzy sets, World Scientific, 1996.
  • C.-W. Chen, Stability Conditions of Fuzzy Systems and Its Application to Structural and Mechanical Systems, Advances in Engineering Software 37 (9) (2006) 624–629.
  • Q. Shen, B. Jiang, V. Cocquempot, Fault-Tolerant Control for T–S Fuzzy Systems with Application to Near-Space Hypersonic Vehicle with Actuator Faults, IEEE Transactions on Fuzzy Systems 20 (4) (2011) 652–665.
  • T. Terano, K. Asai, M. Sugeno, Fuzzy Systems Theory and Its Applications, Academic Press Professional, Inc., 1992.
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  • R. Rodríguez-López, Comparison Results for Fuzzy Differential Equations, Information Sciences 178 (6) (2008) 1756–1779.
  • R. Rodríguez-López, Monotone Method for Fuzzy Differential Equations, Fuzzy Sets and Systems 159 (16) (2008) 2047–2076.
  • T. Allahviranloo, Fuzzy Fractional Differential Operators and Equations, Vol. 397, Springer, 2020.
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On Fuzzy Differential Inequalities with Upper and Lower Solutions

Year 2021, Issue: 37, 68 - 75, 31.12.2021
https://doi.org/10.53570/jnt.1034452

Abstract

In this article, by using the technique of upper and lower solutions, some comparison results for first-order fuzzy differential equations are established. Hukuhara derivative, Hukuhara difference, and partial orderings are used for proving theorems. We extend our results to initial time difference case as well. Also, the practicality of these comparison results is demonstrated by giving an example.

References

  • L. A. Zadeh, Fuzzy sets, World Scientific, 1996.
  • C.-W. Chen, Stability Conditions of Fuzzy Systems and Its Application to Structural and Mechanical Systems, Advances in Engineering Software 37 (9) (2006) 624–629.
  • Q. Shen, B. Jiang, V. Cocquempot, Fault-Tolerant Control for T–S Fuzzy Systems with Application to Near-Space Hypersonic Vehicle with Actuator Faults, IEEE Transactions on Fuzzy Systems 20 (4) (2011) 652–665.
  • T. Terano, K. Asai, M. Sugeno, Fuzzy Systems Theory and Its Applications, Academic Press Professional, Inc., 1992.
  • B. Bede, Fuzzy Sets, Springer, 2013. .
  • M. Hukuhara, Integration des Applications Mesurables dont la Valeur est un Compact Convexe, Funkcialaj Ekvacioj 10 (3) (1967) 205–223.
  • P. Diamond, P. Kloeden, Metrics of Fuzzy Sets: Theory and Applications, World Scientific, 1994.
  • R. Rodríguez-López, Comparison Results for Fuzzy Differential Equations, Information Sciences 178 (6) (2008) 1756–1779.
  • R. Rodríguez-López, Monotone Method for Fuzzy Differential Equations, Fuzzy Sets and Systems 159 (16) (2008) 2047–2076.
  • T. Allahviranloo, Fuzzy Fractional Differential Operators and Equations, Vol. 397, Springer, 2020.
  • M. L. Puri, D. A. Ralescu, Differentials of Fuzzy Functions, De Gruyter Mouton, 2011.
There are 11 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Ali Yakar 0000-0003-1160-577X

Seda Çağlak 0000-0003-3888-211X

Publication Date December 31, 2021
Submission Date December 8, 2021
Published in Issue Year 2021 Issue: 37

Cite

APA Yakar, A., & Çağlak, S. (2021). On Fuzzy Differential Inequalities with Upper and Lower Solutions. Journal of New Theory(37), 68-75. https://doi.org/10.53570/jnt.1034452
AMA Yakar A, Çağlak S. On Fuzzy Differential Inequalities with Upper and Lower Solutions. JNT. December 2021;(37):68-75. doi:10.53570/jnt.1034452
Chicago Yakar, Ali, and Seda Çağlak. “On Fuzzy Differential Inequalities With Upper and Lower Solutions”. Journal of New Theory, no. 37 (December 2021): 68-75. https://doi.org/10.53570/jnt.1034452.
EndNote Yakar A, Çağlak S (December 1, 2021) On Fuzzy Differential Inequalities with Upper and Lower Solutions. Journal of New Theory 37 68–75.
IEEE A. Yakar and S. Çağlak, “On Fuzzy Differential Inequalities with Upper and Lower Solutions”, JNT, no. 37, pp. 68–75, December 2021, doi: 10.53570/jnt.1034452.
ISNAD Yakar, Ali - Çağlak, Seda. “On Fuzzy Differential Inequalities With Upper and Lower Solutions”. Journal of New Theory 37 (December 2021), 68-75. https://doi.org/10.53570/jnt.1034452.
JAMA Yakar A, Çağlak S. On Fuzzy Differential Inequalities with Upper and Lower Solutions. JNT. 2021;:68–75.
MLA Yakar, Ali and Seda Çağlak. “On Fuzzy Differential Inequalities With Upper and Lower Solutions”. Journal of New Theory, no. 37, 2021, pp. 68-75, doi:10.53570/jnt.1034452.
Vancouver Yakar A, Çağlak S. On Fuzzy Differential Inequalities with Upper and Lower Solutions. JNT. 2021(37):68-75.


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