Prof. Dr. Tofigh Allahviranlou

Tofigh Allahviranloo is a Professor of Applied Mathematics at Istinye University in Istanbul, Türkiye. An accomplished mathematician and computer scientist, Prof. Allahviranloo is sincerely dedicated to multi- and interdisciplinary research efforts. His expertise lies primarily in fundamental research in applied fuzzy mathematics, with a special focus on dynamical systems and pioneering applications in applied biological sciences. As of 2024, Prof. Allahviranloo has made significant scientific contributions, including authoring over 14 international books in English and 10 books in Farsi, as well as about 450 publications with renowned publishers such as Elsevier, Springer, Wiley, and Taylor & Francis. He has published more than 250 peer-reviewed journal papers over the past 15 years. He is the main editor of the book series 'Uncertainty, Computational Techniques and Decision Intelligence' published by ELSEVIER. In addition to his extensive writing activities, Prof. Allahviranloo plays an important role in the academic community as Associate Editor and Editorial Board Member of several prestigious journals. These include 'Information Sciences (ELSEVIER)', 'Fuzzy Sets and Systems (ELSEVIER)', 'Journal of Intelligent and Fuzzy Systems (IOS Press)', 'Iranian Journal of Fuzzy Systems', 'Mathematical Sciences (Springer)', 'Granular Computing (Springer)', 'Journal of Mathematics and Computer Science (ISRP)' and 'Journal of Computational Methods for Differential Equations (University of Tabriz)'. He is currently Executive Editor-in-Chief of ‘Information Sciences (ELSEVIER)’, Editor-in-Chief of the Transactions on Fuzzy Sets and Systems', Editor-in-Chief of the 'International Journal of Industrial Mathematics', Chairman of the 'International Conference on Decision Sciences (IDS)' and Managing Editor of 'The Journal of Mathematics and Computer Science' published by International Scientific Research Publications. In addition, Prof. Allahviranloo is a member of the program committee for the FUZZ-IEEE, NAFIPS Annual Meeting, and IFSA conferences, where he brings his extensive knowledge and experience to these key events in the field of fuzzy systems and applied mathematics.

Makaleler

The exact solutions of fuzzy wave-like equations with variable coefficients by a variational iteration method , 2011
Fuzzy symmetric solutions of fuzzy linear systems , 2011
Maximal- and minimal symmetric solutions of fully fuzzy linear systems , 2011
An approach for ranking of fuzzy numbers , 2012
APPLICATION OF HOMOTOPY ANALYSIS METHOD FOR SOLVING A CLASS OF NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS , 2012
Application of non-normal p-norm trapezoidal fuzzy number in reliability evaluation of electrical substations , 2013
Existence, uniqueness and matrix-valued fuzzy Mittag-Leffler-Hypergeometric-Wright stability for P-Hilfer fractional differential equations in matrix-valued fuzzy Banach space , 2022
Fuzzy Control Problem via Random Multi-Valued Equations in Symmetric F-n-NLS , 2022
A new maximal flow algorithm for solving optimization problems with linguistic capacities and flows , 2022
Attractiveness of pseudo almost periodic solutions for delayed cellular neural networks in the context of fuzzy measure theory in matrix-valued fuzzy spaces , 2022
Generalized Hukuhara conformable fractional derivative and its application to fuzzy fractional partial differential equations , 2022
A method for solving bipolar fuzzy complex linear systems with real and complex coefficients , 2022
Solving fully fuzzy linear system: A new solution concept , 2022
A new effective approximate multiplication operation on LR fuzzy numbers and its application , 2022
A straightforward approach for solving dual fuzzy linear systems , 2022
Fuzzy fractional diffusion processes and drug release , 2022
An efficient numerical method for solving m-polar fuzzy initial value problems , 2022
On the properties and applications of fuzzy analytic equations , 2022
Solving a fuzzy fractional diffusion model for cancer tumor by using fuzzy transforms , 2022
Reproducing kernel method to solve non-local fractional boundary value problem , 2022
Exploring the Main Effect of e-Banking on the Banking Industry Concentration Degree on Predicting the Future of the Banking Industry: A Case Study , 2021
Interval type-2 fuzzy least-squares estimation to formulate a regression model based on a new outlier detection method using a new distance , 2021
Providing a model for predicting futures contract of gold coin price by using models based onZ-numbers , 2021
An improved numerical iterative method for solving nonlinear fuzzy Fredholm integral equations via Picard's method and generalized quadrature rule , 2021
Fuzzy Hypotheses Testing in the Framework of Type-2 Fuzzy Numbers , 2021
Introducing a trapezoidal interval type-2 fuzzy regression model , 2022
An Analytical Method for Solving Second-order Fuzzy Differential Equations , 2022
A numerical method for approximating the solution of fuzzy fractional optimal control problems in caputo sense using legendre functions , 2022
The Exact Solutions of the Conformable Time-Fractional Modified Nonlinear Schrodinger Equation by the Trial Equation Method and Modified Trial Equation Method , 2022
A new method for the solution of fully fuzzy linear programming models , 2022
Estimation of Failure Using Fault Tree Analysis Based on New Operations on LR-Type Flat Fuzzy Numbers , 2021
A Study of Fuzzy Methods for Solving System of Fuzzy Differential Equations , 2021
A new Jacobi Tau method for fuzzy fractional Fredholm nonlinear integro-differential equations , 2021
A new fractional dynamic cobweb model based on nonsingular kernel derivatives , 2021
A Runge-Kutta numericalmethod to approximate the solution of bipolar fuzzy initial value problems , 2021
On the fuzzy solutions of time-fractional problems , 2021
Fully Pythagorean fuzzy linear programming problems with equality constraints , 2021
Numerical Solution of Fuzzy Fractional Differential Equation By Haar Wavelet , 2021
Numerical simulations of reaction-diffusion systems in biological and chemical mechanisms with quartic-trigonometric B-splines , 2021
Reproducing kernel method to solve fractional delay differential equations , 2021
LR-type fully Pythagorean fuzzy linear programming problems with equality constraints , 2021
Analytical solutions of q-fractional differential equations with proportional derivative , 2021
Numerical Solution of Second Order IVP by Fuzzy Transform Method , 2021
Implementing Reproducing Kernel Method to Solve Singularly Perturbed Convection-Diffusion Parabolic Problems , 2021
Interval model for calculating prospect cross efficiency of data envelopment analysis and providing a solution for its expansion in fuzzy model , 2021
The Fuzzy Arithmetic Operations of Transmission Average on Pseudo-Hexagonal Fuzzy Numbers and Its Application in Fuzzy System Reliability Analysis , 2021
Computational procedure for solving fuzzy equations , 2021
New Method for Numerical Solution of Z-Fractional Differential Equations , 2021
A Numerical Method to Solve Fuzzy Fractional Optimal Control Problems Using Legendre Basis Functions , 2021
Solving Riccati Fuzzy Differential Equations , 2021
Certain methods to solve bipolar fuzzy linear system of equations , 2020
Reproducing kernel method to solve parabolic partial differential equations with nonlocal conditions , 2020
Conception and Implementation of a New Data-Driven Fuzzy Method for Reliability and Safety Analysis , 2020
A Fuzzy Method for Solving Fuzzy Fractional Differential Equations Based on the Generalized Fuzzy Taylor Expansion , 2020
A New Method for Solving Fuzzy Bernoulli Differential Equation , 2021
Methods for solving LR-bipolar fuzzy linear systems , 2021
Numerical solution of bipolar fuzzy initial value problem , 2021
A study on the fuzzy parabolic Volterra partial integro-differential equations , 2021
Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure , 2021
An efficient method to solve fuzzy Volterra integral equations using Fibonacci polynomials , 2021
On the stability for the fuzzy initial value problem , 2020
On the fuzzy fractional differential equation with interval Atangana-Baleanu fractional derivative approach , 2020
A modified Euler method for solving fuzzy differential equations under generalized differentiability , 2020
Combining fractional differential transform method and reproducing kernel Hilbert space method to solve fuzzy impulsive fractional differential equations , 2020
Solving system of second-order BVPs using a new algorithm based on reproducing kernel Hilbert space , 2020
Solving First-Order Differential Equations of Z-Numbers' Initial Value Using Radial Basic Function , 2020
On the rectangular fuzzy complex linear systems , 2020
A fuzzy generalized power series method under generalized Hukuhara differentiability for solving fuzzy Legendre differential equation , 2020
The Traveling Wave Solution Of the Fuzzy Linear Partial Differential Equation , 2020
Conception and Implementation of a New Data-Driven Fuzzy Method for Reliability and Safety Analysis , 2020
Fuzzy reproducing kernel space method for solving fuzzy boundary value problems , 2019
Bipolar fuzzy linear system of equations , 2019
A new effective solution method for fully intuitionistic fuzzy transportation problem , 2019
Radio fuzzy graphs and assignment of frequency in radio stations , 2019
q-fractional differential equations with uncertainty , 2019
New operations on pseudo-octagonal fuzzy numbers and its application , 2019
A new efficient method using Fibonacci polynomials for solving of first-order fuzzy Fredholm-Volterra integro-differential equations , 2019
Computational method based on reproducing kernel for solving singularly perturbed differential-difference equations with a delay , 2019
Fuzzy multiquadric radial basis functions for solving fuzzy partial differential equations , 2019
LU Decomposition method to solve bipolar fuzzy linear systems , 2020
On the fuzzy Poisson equation , 2018
Existence and uniqueness solutions of fuzzy integration-differential mathematical problem by using the concept of generalized differentiability , 2019
Dynamical control of computations using the finite differences method to solve fuzzy boundary value problem , 2019
Numerical solution of two-dimensional nonlinear fuzzy Fredholm integral equations via quadrature iterative method , 2019
Fuzzy finite difference method for solving fuzzy Poisson's equation , 2019
Linear system of equations in m-polar fuzzy environment , 2019
A new class of conjugate gradient methods for unconstrained smooth optimization and absolute value equations , 2019
Z-Advanced numbers processes , 2019
The fuzzy generalized Taylor's expansion with application in fractional differential equations , 2019
Fuzzy reliability estimation using the new operations of transmission average on Rational-linear patchy fuzzy numbers , 2019
Solving Fuzzy Volterra Integrodifferential Equations of Fractional Order by Bernoulli Wavelet Method , 2018
New Multi-layer Method for Z-number Ranking using Hyperbolic Tangent Function and Convex Combination , 2018
On general conditions for nestedness of the solution set of fuzzy-interval linear systems , 2018
Reproducing kernel method for solving singularly perturbed differential-difference equations with boundary layer behavior in Hilbert space , 2018
Positive solutions of fuzzy fractional Volterra integro-differential equationswith the Fuzzy Caputo Fractional Derivative using the Jacobi polynomials operational matrix , 2018
A new attitude coupled with fuzzy thinking for solving fuzzy equations , 2018
SOME FUNDAMENTAL RESULTS ON FUZZY CALCULUS , 2018
A study on the local convergence and dynamics of the two-step and derivative-free Kung-Traub's method , 2018
Two new methods for ranking of Z-numbers based on sigmoid function and sign method , 2018
Positive or negative solutions to first-order fully fuzzy linear differential equations under generalized differentiability , 2018
Numerical solution of nonlinear two-dimensional Volterra integral equation of the second kind in the reproducing kernel space , 2017
Variable Shape Parameter Strategy in Local Radial Basis Functions Collocation Method for Solving the 2D Nonlinear Coupled Burgers' Equations , 2017
An effective collocation technique to solve the singular Fredholm integral equations with Cauchy kernel , 2017
The Parametric Form of Z-Number and Its Application in Z-Number Initial Value Problem , 2017
On the solution of fuzzy fractional optimal control problems with the Caputo derivative , 2017
Algebraic solution of fuzzy linear system as: (A)over-tilde(X)over-tilde + (B)over-tilde(X)over-tilde = (Y)over-tilde , 2017
Numerical Solution of Linear Regression Based on Z-Numbers by Improved Neural Network , 2018
Numerical solution of fuzzy fractional integro-differential equation via two-dimensional Legendre Wavelet method , 2018
Bernoulli matrix approach for matrix differential models of second-order , 2018
An efficient approach based on radial basis functions for solving stochastic fractional differential equations , 2017
A New Variational Iteration Method for a Class of Fractional Convection-Diffusion Equations in Large Domains , 2017
A fuzzy solution of heat equation under generalized Hukuhara differentiability by fuzzy Fourier transform , 2017
Semi-analytical methods for solving fuzzy impulsive fractional differential equations , 2017
Fractional relaxation-oscillation differential equations via fuzzy variational iteration method , 2017
VARIATIONAL ITERATION METHOD FOR FRACTIONAL WAVE-LIKE AND HEAT-LIKE EQUATIONS IN LARGE DOMAINS , 2017
Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via Tau-collocation method with convergence analysis , 2016
A NEW ATTITUDE COUPLED WITH THE BASIC FUZZY THINKING TODISTANCE BETWEEN TWO FUZZY NUMBERS , 2016
Application of fuzzy Picard method for solving fuzzy quadratic Riccati and fuzzy Painleve I equations , 2016
Concreted solutions to fuzzy linear fractional differential equations , 2016
SOLVING FUZZY DIFFERENTIAL EQUATIONS BY USING PICARD METHOD , 2016
GENERAL SOLUTION OF BASSET EQUATION WITH CAPUTO GENERALIZED HUKUHARA DERIVATIVE , 2016
Numerical Solution of Time-Fractional Order Telegraph Equation by Bernstein Polynomials Operational Matrices , 2016
A New Method for Defuzzification and Ranking of Fuzzy Numbers Based on the Statistical Beta Distribution , 2016
An efficient method for solving LR fuzzy dual matrix systems , 2016
Uncertain Hermite-Hadamard inequality for functions with (s,m)-Godunova-Levin derivatives via fractional integral , 2016
Optimal multi-product dynamic pricing and inventory policies for coordinating production and marketing under fuzzy environment: Fuzzy expansion methods , 2016
Numerical solutions for fractional differential equations by Tau-Collocation method , 2015
On fuzzy solutions for heat equation based on generalized Hukuhara differentiability , 2015
EXISTENCE AND UNIQUENESS OF THE SOLUTION OF NONLINEAR FUZZY VOLTERRA INTEGRAL EQUATIONS , 2015
Solving fuzzy differential equations based on the length function properties , 2015
A new attitude coupled with fuzzy thinking to fuzzy rings and fields , 2015
A full fuzzy method for solving differential equation based on Taylor expansion , 2015
Solving nonlinear fuzzy differential equations by using fuzzy variational iteration method , 2014
The use of airfoil and Chebyshev polynomials methods for solving fuzzy Fredholm integro-differential equations with Cauchy kernel , 2014
FUZZY COLLOCATION METHODS FOR SECOND- ORDER FUZZY ABEL-VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS , 2014
Fuzzy fractional differential equations under generalized fuzzy Caputo derivative , 2014
Fuzzy generalized H-differential and applications to fuzzy differential equations of second-order , 2014
Fuzzy BIBO Stability of Linear Control Systems , 2014
Approximating the Solution of the Linear and Nonlinear Fuzzy Volterra Integrodifferential Equations Using Expansion Method , 2014
On the new solutions for a fully fuzzy linear system , 2014
The Solution of Fully Fuzzy Quadratic Equation Based on Optimization Theory , 2014
A Proposed Method for Solving Fuzzy System of Linear Equations , 2014
The use of fuzzy expansion method for solving fuzzy linear Volterra-Fredholm integral equations , 2014
A new method for solving an arbitrary fully fuzzy linear system , 2013
A method to find fuzzy eigenvalues and fuzzy eigenvectors of fuzzy matrix , 2013
Toward the existence and uniqueness of solutions of second-order fuzzy volterra integro-differential equations with fuzzy kernel , 2013
Finding an inner estimation of the solution set of a fuzzy linear system , 2013
Application of fuzzy differential transform method for solving fuzzy Volterra integral equations , 2013
On the fuzzy solution of LR fuzzy linear systems , 2013
Applications of fuzzy Laplace transforms , 2013
General Solutions of Fully Fuzzy Linear Systems , 2013
A New Distance Measure and Ranking Method for Generalized Trapezoidal Fuzzy Numbers , 2013
On Solutions of Linear Fractional Differential Equations with Uncertainty , 2013
A NEW APPROACH TO DETERMINE THE CONVERGENCE-CONTROL PARAMETER IN THE APPLICATION OF THE HOMOTOPY ANALYSIS METHOD TO SYSTEMS OF LINEAR EQUATIONS , 2013
DEFUZZIFICATION METHOD FOR RANKING FUZZY NUMBERS BASED ON CENTER OF GRAVITY , 2012
Estimation of algebraic solution by limiting the solution set of an interval linear system , 2012
On the algebraic solution of fuzzy linear systems based on interval theory , 2012
On the fractional Ostrowski inequality with uncertainty , 2012
A new metric for L-R fuzzy numbers and its application in fuzzy linear systems , 2012
EFFICIENCY IN FUZZY PRODUCTION POSSIBILITY SET , 2012
A Comparative Study of Ranking Fuzzy Numbers Based on RegularWeighted Function , 2012
A new method for solving fuzzy integro-differential equation under generalized differentiability , 2012
A new similarity measure for generalized fuzzy numbers , 2012
Solving fuzzy second-order nonlinear Volterra-Fredholm integro-differential equations by using Picard method , 2012
Evaluation of fully fuzzy regression models by fuzzy neural network , 2012
A New Application of Homotopy Analysis Method , 2012
Solving fuzzy fractional differential equations by fuzzy Laplace transforms , 2012
Explicit solutions of fractional differential equations with uncertainty , 2012
The nearest symmetric fuzzy solution for a symmetric fuzzy linear system , 2012
A new approach to obtain algebraic solution of interval linear systems , 2012
Existence and uniqueness results for fractional differential equations with uncertainty , 2012
DEGENERACY IN FUZZY LINEAR PROGRAMMING AND ITS APPLICATION , 2011
A note on "Fuzzy linear systems" , 2011
Euler method for solving hybrid fuzzy differential equation , 2011
A new method for solving fuzzy linear differential equations , 2011
Discrete homotopy analysis method for the nonlinear Fredholm integral equations , 2011
NON ZERO SOLUTIONS OF THE FULLY FUZZY LINEAR SYSTEMS , 2011
EXISTENCE AND UNIQUENESS OF SOLUTION OF AN UNCERTAIN CHARACTERISTIC CAUCHY REACTION-DIFFUSION EQUATION BY ADOMIAN DECOMPOSITION METHOD , 2010
NUMERICAL METHODS FOR FUZZY LINEAR PARTIAL DIFFERENTIAL EQUATIONS UNDER NEW DEFINITION FOR DERIVATIVE , 2010
Ranking of fuzzy numbers by a new metric , 2010
Fuzzy Laplace transforms , 2010
Fuzzy Regression on Fuzzy Data by New Metric Distance , 2010
Solving a full fuzzy linear programming using lexicography method and fuzzy approximate solution , 2009
Fuzzy linear matrix equation , 2009
A note on "Fuzzy differential equations and the extension principle" , 2009
Toward the existence and uniqueness of solutions of second-order fuzzy differential equations , 2009
Solving fuzzy differential equations by differential transformation method , 2009
Improved predictor-corrector method for solving fuzzy initial value problems , 2009
A method for solving nth order fuzzy linear differential equations , 2009
A computational method to find an approximate analytical solution for fuzzy differential equations , 2009
Iterative method for fuzzy equations , 2008
Signed Decomposition of Fully Fuzzy Linear Systems , 2008
Nth-order fuzzy linear differential equations , 2008
Fuzzy Efficiency Measure with Fuzzy Production Possibility Set , 2007
Numerical solution of fuzzy differential equations by predictor-corrector method , 2007
Note on "Trapezoidal approximation of fuzzy numbers" , 2007
Block Jacobi two-stage method with Gauss-Sidel inner iterations for fuzzy system of linear equations , 2006
Ranking Fuzzy Numbers and Its Extensions , 2013
Variational Homotopy Perturbation Method: An efficient scheme for solving partial differential equations in fluid mechanics , 2014
Forefront of Fuzzy Logic in Data Mining: Theory, Algorithms, and Applications , 2016
Solving a System of Linear Equations Based on Z-Numbers to Determinate the Market Balance Value , 2023
Finite-time stability of mild solution to time-delay fuzzy fractional differential systems under granular computing , 2023
Multi-step gH-difference-based methods for fuzzy differential equations , 2023
A New Framework for Numerical Techniques for Fuzzy Nonlinear Equations , 2023
State feedback control for fractional differential equation system in the space of linearly correlated fuzzy numbers , 2023
A Hybrid Heuristic Algorithm Using Artificial Agents for Data Replication Problem in Distributed Systems , 2023
Two-Dimensional Muntz-Legendre Wavelet Method for Fuzzy Hybrid Differential Equations , 2023
Fuzzy generalized fractional power series technique for simulating fuzzy fractional relaxation problem , 2023
An estimation of the solution of hybrid fuzzy differential equations , 2023
Ranking the Return on Assets of Tehran Stock Exchange by a New Method Based on Z-Numbers Data , 2023
An extended multi-objective transportation model based on Fermatean fuzzy sets , 2023
A new method for solving linear programming problems using Z-numbers' ranking , 2023
A New Numerical Approach for Solving the Fractional Nonlinear Multi-pantograph Delay Differential Equations , 2023
Interval Methods in Knowledge Representation , 2023
Numerical methods for m-polar fuzzy initial value problems , 2023
NUMERICAL SOLUTION OF DUAL FUZZY SYLVESTER MATRIX EQUATIONS BY AN ITERATION METHOD , 2023
A solving method for two-dimensional homogeneous system of fuzzy fractional di fferential equations , 2023
A new method to determine the Fermatean fuzzy optimal solution of transportation problems , 2023
Existence of a Unique Solution and the Hyers-Ulam-H-Fox Stability of the Conformable Fractional Differential Equation by Matrix-Valued Fuzzy Controllers , 2022

Prof. Dr. Tofigh Allahviranlou - İstinye Üniversitesi

tofigh.allahviranloo@istinye.edu.tr

Akademik Personel

Matematik

Makaleler