Analytical and numerical solutions of fuzzy differential equations

MZ Ahmad, MK Hasan, B De Baets - Information Sciences, 2013 - Elsevier
In this paper, we study analytical and numerical solutions of fuzzy differential equations
based on the extension principle. For linear fuzzy differential equations, we state some …

Solving Fuzzy Fractional Differential Equations Using Zadeh′ s Extension Principle

MZ Ahmad, MK Hasan… - The Scientific World …, 2013 - Wiley Online Library
We study a fuzzy fractional differential equation (FFDE) and present its solution using
Zadeh's extension principle. The proposed study extends the case of fuzzy differential …

[PDF][PDF] Intuitionistic anti fuzzy normal subrings over normed rings

NA Alhaleem, AG Ahmad - Sains Malaysiana, 2022 - ukm.my
In this paper, we initiate the notion of intuitionistic anti fuzzy normed normal subrings and
generalize various related properties. We extend the notion of intuitionistic fuzzy normed …

Numerical solution of fuzzy differential equations and the dependency problem

AHA Omar, YA Hasan - Applied Mathematics and Computation, 2012 - Elsevier
Using fuzzy differential equations is a rational way of modeling a dynamic system under
possibilistic uncertainty. In modeling real-world phenomena, fuzzy initial value problems …

Numerical methods for fuzzy initial value problems under different types of interpretation: a comparison study

MZ Ahmad, MK Hasan - … ICIEIS 2011, Kuala Lumpur, Malaysia, November …, 2011 - Springer
In this paper, we present the solution of fuzzy initial value problem of the form X′(t)= f (t, X
(t)), X (t 0)= X 0, where X 0 is a symmetric triangular fuzzy interval. In the first part, we review …

[PDF][PDF] Semi non-standard trimean algorithm for Rosenzweig-MacArthur interaction model

MK Hasan, NA Othman, SA Karim… - International Journal on …, 2018 - core.ac.uk
Most real world natural systems are shows seasonal behaviour due to seasonal
environmental or climate change. As a results, many species display seasonal changes in …

Numerical solution of first order fuzzy differential equations by Simpson's rule

S Devi, K Ganesan - British Journal of Mathematics & …, 2016 - archive.scholarstm.com
The concept of fuzzy versions of Simpson's rule and Runge-Kutta method of order four are
introduced. In this paper, the solution of fuzzy ordinary differential equation of the first order …

Numerical solution of fuzzy differential equations by extended Runge-Kutta method and the dependency problem

K Kanagarajan, S Muthukumar… - International Journal of …, 2014 - ijmttjournal.org
In this paper we use extended Runge-Kutta-like formulae of order four (ERK4) and of order
five (ERK5) by taking into account the dependency problem that arises in fuzzy setting. This …

[PDF][PDF] Numerical solution of fuzzy differential equations by Milne's predictor-corrector method and the dependency problem

K Kanagarajan, S Indrakumar… - Applied Mathematics and …, 2014 - academia.edu
The study of this paper suggests on dependency problem in fuzzy computational method by
using the numerical solution of Fuzzy differential equations (FDEs) in Milne's predictor …

[PDF][PDF] Numerical Solution of Hybrid Fuzzy differential equations by Runge–Kutta Method of Order Five and the dependency problem

K Kanagarajan, S Indrakumar, S Muthukumar - Ann. Fuzzy Math. Inform, 2015 - afmi.or.kr
Numerical solution of hybrid fuzzy differential equations by runge-kutta method of order five and
the dependency problem Page 1 Annals of Fuzzy Mathematics and Informatics Volume x, No …