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

  • 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.

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
How to Cite
Ahmad, M. Z., & Hasan, M. K. (1). A Method of Computing Functions of Trapezoidal Fuzzy Variable and Its Application to Fuzzy Calculus. Journal of Science and Technology, 3(2). Retrieved from https://publisher.uthm.edu.my/ojs/index.php/JST/article/view/355
Section
Articles