A Method of Computing Functions of Trapezoidal Fuzzy Variable and Its Application to Fuzzy Calculus

Authors

  • Muhammad Zaini Ahmad
  • Mohammad Khatim Hasan

Keywords:

fuzzy differential equations, trapezoidal fuzzy interval, unconstrained optimisation,

Abstract

This paper introduces a method of computing functions of trapezoidal fuzzy variable. The method is based on the implementation of an unconstrained optimisation technique over the α -cut of fuzzy interval. To show the effectiveness of the proposed method, we provide several numerical examples in computing the solutions of linear and non-linear fuzzy differential equations. The final results showed that the proposed method is capable to generate convex fuzzy solutions on time domain.

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Author Biographies

  • Muhammad Zaini Ahmad
    Institute for Engineering Mathematics, Universiti Malaysia Perlis
    02000 Kuala Perlis, Perlis, Malaysia
  • Mohammad Khatim Hasan
    School of Information Technology, Faculty of Information Science and Technology
    Universiti Kebangsaan Malaysia
    43600 UKM Bangi, Selangor, Malaysia

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Issue

Vol. 3 No. 2 (2011)

Section

Articles

License

Open access licenses

Open Access is by licensing the content with a Creative Commons (CC) license. 

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 

How to Cite

Ahmad, M. Z., & Hasan, M. K. (2011). A Method of Computing Functions of Trapezoidal Fuzzy Variable and Its Application to Fuzzy Calculus. Journal of Science and Technology, 3(2). https://publisher.uthm.edu.my/ojs/index.php/JST/article/view/355