Dynamical control of computations using the finite differences method to solve fuzzy boundary value problem

[1]  J. Vignes.  New methods for evaluating the validity of the results of mathematical computations , 1978 .

[2]  Davod Khojasteh Salkuyeh,et al.  A procedure with stepsize control for solving n one-dimensional IVPs , 2008, Math. Comput. Simul..

[3]  Ali Ahmadian,et al.  An Eigenvalue-Eigenvector Method for Solving a System of Fractional Differential Equations with Uncertainty , 2013 .

[4]  J. Nieto,et al.  A boundary value problem for second order fuzzy differential equations , 2010 .

[5]  Jianming Zhan,et al.  Fuzzy soft $$\beta$$β-covering based fuzzy rough sets and corresponding decision-making applications , 2019, Int. J. Mach. Learn. Cybern..

[6]  Jean Vignes,et al.  A stochastic arithmetic for reliable scientific computation , 1993 .

[7]  Mohammad Ali Fariborzi Araghi,et al.  Solving Fuzzy Linear Systems in the Stochastic Arithmetic by Applying CADNA Library , 2011, IJCCI.

[8]  H. Román-Flores,et al.  On new solutions of fuzzy differential equations , 2008 .

[9]  Jianming Zhan,et al.  Certain types of soft coverings based rough sets with applications , 2019, Int. J. Mach. Learn. Cybern..

[10]  S. Seikkala.  On the fuzzy initial value problem , 1987 .

[11]  Jianming Zhan,et al.  A survey of decision making methods based on two classes of hybrid soft set models , 2016, Artificial Intelligence Review.

[12]  S. Abbasbandy,et al.  The use of the stochastic arithmetic to estimate the value of interpolation polynomial with optimal degree , 2004 .

[13]  S. Abbasbandy,et al.  A stochastic scheme for solving definite integrals , 2005 .

[14]  Jean Vignes,et al.  Discrete Stochastic Arithmetic for Validating Results of Numerical Software , 2004, Numerical Algorithms.

[15]  Jianming Zhan,et al.  A survey of parameter reduction of soft sets and corresponding algorithms , 2019, Artificial Intelligence Review.

[16]  Osmo Kaleva,et al.  A note on fuzzy differential equations , 2006 .

[17]  James J. Buckley,et al.  Fuzzy differential equations , 2000, Fuzzy Sets Syst..

[18]  Hasan Barzegar Kelishami,et al.  Dynamical control of accuracy in the fuzzy Runge-Kutta methods to estimate the solution of a fuzzy differential equation , 2016 .

[19]  Saeid Abbasbandy,et al.  Numerical methods forfuzzy differential inclusions , 2004 .

[20]  Jianming Zhan,et al.  A novel type of soft rough covering and its application to multicriteria group decision making , 2019, Artificial Intelligence Review.

[21]  Dumitru Baleanu,et al.  Numerical solutions of fuzzy differential equations by an efficient Runge-Kutta method with generalized differentiability , 2018, Fuzzy Sets Syst..

[22]  Barnabás Bede,et al.  Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations , 2005, Fuzzy Sets Syst..

[23]  Barnabás Bede,et al.  Note on "Numerical solutions of fuzzy differential equations by predictor-corrector method" , 2008, Inf. Sci..

[24]  Sahin Emrah Amrahov,et al.  Solution of linear differential equations with fuzzy boundary values , 2014, Fuzzy Sets Syst..