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.
Araştırma Alanları
- Fuzzy Sets and Modeling
- Decision Science
- Numerical Analysis
- Optimal Control
- Scale elasticity and technical efficiency measures in two-stage network production processes: an application to the insurance sector, 2024
- Application of the reproducing kernel method for solving linear Volterra integral equations with variable coefficients, 2024
- A multi-step method to solve bipolar-fuzzy initial value problem, 2024
- Fully interval-valued fuzzy transportation problems: development and prospects, 2024
- Solving the Fornberg-Whitham Model Derived from Gilson-Pickering Equations by Analytical Methods, 2024
- Existence of generalized Hukuhara differentiable solutions to a class of first-order fuzzy differential equations in dual form, 2024
- An analytical study of Pythagorean fuzzy fractional wave equation using multivariate Pythagorean fuzzy fourier transform under generalized Hukuhara Caputo fractional differentiability, 2024
- A bi-objective carton box production planning problem with benefit and wastage objectives under belief degree-based uncertainty, 2024
- Marginal rates of technical changes and impact in stochastic data envelopment analysis: An application in power industry, 2024
- Incommensurate non-homogeneous system of fuzzy linear fractional differential equations using the fuzzy bunch of real functions, 2023
- Solving fully linear programming problem based on Z-numbers, 2023
- Optimal data transmission and pathfinding for WSN and decentralized IoT systems using I-GWO and Ex-GWO algorithms, 2023
- Bifurcation and Multiplicity of Solutions of the Navier-Stokes Equations in Driven Semi-Elliptical Cavity Flow, 2022
- Solving Fractional Fuzzy Impulsive Differential Equations with Uncertainty by Novel Computational Technique, 2022
- A New Estimation of Failure Analysis in Fuzzy Environment, Case Study: The Electrical Model Failure for the Football Stadium, 2022
- Solving Pythagorean fuzzy fractional differential equations using Laplace transform, 2022
- Realistic solution of fuzzy critical path problems, case study: the airport's cargo ground operation systems, 2022
- An algorithm for choosing a good shape parameter for radial basis functions method with a case study in image processing, 2022
- The Best Approximation of Generalized Fuzzy Numbers Based on Scaled Metric, 2022
- Conditions to guarantee the existence of solutions for a nonlinear and implicit integro-differential equation with variable coefficients, 2022
- Classical and intelligent methods in model extraction and stabilization of a dual-axis reaction wheel pendulum: A comparative study, 2022
- Solution of initial-value problem for linear third-order fuzzy differential equations, 2022
- Z(+ )-Laplace transforms and Z(+ )-differential equations of the arbitrary-order, theory and applications, 2022
- A computational method for nonlinear Burgers' equation using quartic-trigonometric tension B-splines, 2022
- A new method to solve linear programming problems in the environment of picture fuzzy sets, 2022
- 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
- Artificial neural network approach for solving fuzzy fractional order initial value problems under gH-differentiability, 2021
- 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
- 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
- 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
- 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
- A fuzzy solution of wave equation by FFS-transform, 2020
- LU Decomposition method to solve bipolar fuzzy linear systems, 2020
- 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
- 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
- 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
- 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
- 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
- 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
- On the fuzzy Poisson equation, 2018
- VARIATIONAL ITERATION METHOD FOR FRACTIONAL WAVE-LIKE AND HEAT-LIKE EQUATIONS IN LARGE DOMAINS, 2017
- Fractional relaxation-oscillation differential equations via fuzzy variational iteration method, 2017
- Semi-analytical methods for solving fuzzy impulsive fractional differential equations, 2017
- A fuzzy solution of heat equation under generalized Hukuhara differentiability by fuzzy Fourier transform, 2017
- A New Variational Iteration Method for a Class of Fractional Convection-Diffusion Equations in Large Domains, 2017
- An efficient approach based on radial basis functions for solving stochastic fractional differential equations, 2017
- 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
- Optimal multi-product dynamic pricing and inventory policies for coordinating production and marketing under fuzzy environment: Fuzzy expansion methods, 2016
- Uncertain Hermite-Hadamard inequality for functions with (s,m)-Godunova-Levin derivatives via fractional integral, 2016
- An efficient method for solving LR fuzzy dual matrix systems, 2016
- A New Method for Defuzzification and Ranking of Fuzzy Numbers Based on the Statistical Beta Distribution, 2016
- Numerical Solution of Time-Fractional Order Telegraph Equation by Bernstein Polynomials Operational Matrices, 2016
- GENERAL SOLUTION OF BASSET EQUATION WITH CAPUTO GENERALIZED HUKUHARA DERIVATIVE, 2016
- SOLVING FUZZY DIFFERENTIAL EQUATIONS BY USING PICARD METHOD, 2016
- Concreted solutions to fuzzy linear fractional differential equations, 2016
- Application of fuzzy Picard method for solving fuzzy quadratic Riccati and fuzzy Painleve I equations, 2016
- A NEW ATTITUDE COUPLED WITH THE BASIC FUZZY THINKING TODISTANCE BETWEEN TWO FUZZY NUMBERS, 2016
- Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via Tau-collocation method with convergence analysis, 2016
- A full fuzzy method for solving differential equation based on Taylor expansion, 2015
- A new attitude coupled with fuzzy thinking to fuzzy rings and fields, 2015
- Solving fuzzy differential equations based on the length function properties, 2015
- EXISTENCE AND UNIQUENESS OF THE SOLUTION OF NONLINEAR FUZZY VOLTERRA INTEGRAL EQUATIONS, 2015
- On fuzzy solutions for heat equation based on generalized Hukuhara differentiability, 2015
- Numerical solutions for fractional differential equations by Tau-Collocation method, 2015
- The use of fuzzy expansion method for solving fuzzy linear Volterra-Fredholm integral equations, 2014
- A Proposed Method for Solving Fuzzy System of Linear Equations, 2014
- The Solution of Fully Fuzzy Quadratic Equation Based on Optimization Theory, 2014
- On the new solutions for a fully fuzzy linear system, 2014
- Approximating the Solution of the Linear and Nonlinear Fuzzy Volterra Integrodifferential Equations Using Expansion Method, 2014
- Fuzzy BIBO Stability of Linear Control Systems, 2014
- Fuzzy generalized H-differential and applications to fuzzy differential equations of second-order, 2014
- Fuzzy fractional differential equations under generalized fuzzy Caputo derivative, 2014
- FUZZY COLLOCATION METHODS FOR SECOND- ORDER FUZZY ABEL-VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS, 2014
- The use of airfoil and Chebyshev polynomials methods for solving fuzzy Fredholm integro-differential equations with Cauchy kernel, 2014
- Solving nonlinear fuzzy differential equations by using fuzzy variational iteration method, 2014
- A NEW APPROACH TO DETERMINE THE CONVERGENCE-CONTROL PARAMETER IN THE APPLICATION OF THE HOMOTOPY ANALYSIS METHOD TO SYSTEMS OF LINEAR EQUATIONS, 2013
- On Solutions of Linear Fractional Differential Equations with Uncertainty, 2013
- A New Distance Measure and Ranking Method for Generalized Trapezoidal Fuzzy Numbers, 2013
- General Solutions of Fully Fuzzy Linear Systems, 2013
- Applications of fuzzy Laplace transforms, 2013
- On the fuzzy solution of LR fuzzy linear systems, 2013
- Application of fuzzy differential transform method for solving fuzzy Volterra integral equations, 2013
- Finding an inner estimation of the solution set of a fuzzy linear system, 2013
- Toward the existence and uniqueness of solutions of second-order fuzzy volterra integro-differential equations with fuzzy kernel, 2013
- A method to find fuzzy eigenvalues and fuzzy eigenvectors of fuzzy matrix, 2013
- A new method for solving an arbitrary fully fuzzy linear system, 2013
- Existence and uniqueness results for fractional differential equations with uncertainty, 2012
- A new approach to obtain algebraic solution of interval linear systems, 2012
- The nearest symmetric fuzzy solution for a symmetric fuzzy linear system, 2012
- Explicit solutions of fractional differential equations with uncertainty, 2012
- Solving fuzzy fractional differential equations by fuzzy Laplace transforms, 2012
- A New Application of Homotopy Analysis Method, 2012
- Evaluation of fully fuzzy regression models by fuzzy neural network, 2012
- Solving fuzzy second-order nonlinear Volterra-Fredholm integro-differential equations by using Picard method, 2012
- A new similarity measure for generalized fuzzy numbers, 2012
- A new method for solving fuzzy integro-differential equation under generalized differentiability, 2012
- A Comparative Study of Ranking Fuzzy Numbers Based on RegularWeighted Function, 2012
- EFFICIENCY IN FUZZY PRODUCTION POSSIBILITY SET, 2012
- A new metric for L-R fuzzy numbers and its application in fuzzy linear systems, 2012
- On the fractional Ostrowski inequality with uncertainty, 2012
- On the algebraic solution of fuzzy linear systems based on interval theory, 2012
- Estimation of algebraic solution by limiting the solution set of an interval linear system, 2012
- DEFUZZIFICATION METHOD FOR RANKING FUZZY NUMBERS BASED ON CENTER OF GRAVITY, 2012
- NON ZERO SOLUTIONS OF THE FULLY FUZZY LINEAR SYSTEMS, 2011
- Discrete homotopy analysis method for the nonlinear Fredholm integral equations, 2011
- A new method for solving fuzzy linear differential equations, 2011
- Euler method for solving hybrid fuzzy differential equation, 2011
- A note on "Fuzzy linear systems", 2011
- DEGENERACY IN FUZZY LINEAR PROGRAMMING AND ITS APPLICATION, 2011
- Fuzzy Regression on Fuzzy Data by New Metric Distance, 2010
- Fuzzy Laplace transforms, 2010
- Ranking of fuzzy numbers by a new metric, 2010
- NUMERICAL METHODS FOR FUZZY LINEAR PARTIAL DIFFERENTIAL EQUATIONS UNDER NEW DEFINITION FOR DERIVATIVE, 2010
- EXISTENCE AND UNIQUENESS OF SOLUTION OF AN UNCERTAIN CHARACTERISTIC CAUCHY REACTION-DIFFUSION EQUATION BY ADOMIAN DECOMPOSITION METHOD, 2010
- A computational method to find an approximate analytical solution for fuzzy differential equations, 2009
- A method for solving nth order fuzzy linear differential equations, 2009
- Improved predictor-corrector method for solving fuzzy initial value problems, 2009
- Solving fuzzy differential equations by differential transformation method, 2009
- Toward the existence and uniqueness of solutions of second-order fuzzy differential equations, 2009
- A note on "Fuzzy differential equations and the extension principle", 2009
- Fuzzy linear matrix equation, 2009
- Solving a full fuzzy linear programming using lexicography method and fuzzy approximate solution, 2009
- Nth-order fuzzy linear differential equations, 2008
- Signed Decomposition of Fully Fuzzy Linear Systems, 2008
- Iterative method for fuzzy equations, 2008
- Note on "Trapezoidal approximation of fuzzy numbers", 2007
- Numerical solution of fuzzy differential equations by predictor-corrector method, 2007
- Fuzzy Efficiency Measure with Fuzzy Production Possibility Set, 2007
- Gaussian quadratures for approximate of fuzzy multiple integrals, 2006
- The Adomian decomposition method applied to the Fuzzy system of Fredholm integral equations of the second kind, 2006
- Solution of a fuzzy system of linear equation, 2006
- Block Jacobi two-stage method with Gauss-Sidel inner iterations for fuzzy system of linear equations, 2006
- Successive over relaxation iterative method for fuzzy system of linear equations, 2005
- The Adomian decomposition method for fuzzy system of linear equations, 2005
- Newton Cot's methods for integration of fuzzy functions, 2005
- Romberg integration for fuzzy functions, 2005
- Numerical methods for approximation of fuzzy data, 2005
- Gaussian quadratures for approximate of fuzzy integrals, 2005
- Numerical methods for fuzzy system of linear equations, 2004
- Numerical methods for fuzzy differential inclusions, 2004