A new fuzzy approximation method to Cauchy problems by fuzzy transform

作者：Khastan A^*; Perfilieva I; Alijani Z

来源：Fuzzy Sets and Systems, 2016, 288: 75-95.

DOI：10.1016/j.fss.2015.01.001

• F-transform
• Higher degree F-transform
• Cauchy problem
• Fuzzy initial value problem
• Mid-point rule

We present new numeric methods based on the first and second degree F-transform for solving the Cauchy problem. We show that they outperform the second order Runge-Kutta method especially when a right-hand function is oscillating and/or a solution is requested on a long interval. Moreover, a new numeric method to solve fuzzy initial value problem using the F-transform is presented. The suitability of the presented new methods is theoretically justified and illustrated on various examples.

• 出版日期2016-4-1