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 w...
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.
Articles
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
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
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 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
Numerical Method to Solve a Hybrid Fuzzy Conformable Fractional Differential Equations
, 2022
Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems
, 2022
Analysis on determining the solution of fourth-order fuzzy initial value problem with Laplace operator
, 2022
A novel stability study on volterra integral equations with delay (VIE-D) using the fuzzy minimum optimal controller in matrix-valued fuzzy Banach spaces
, 2023
a-Whittaker controllability of ?-Hilfer fractional stochastic evolution equations driven by fractional Brownian motion
, 2023
Fourth- and fifth-order iterative schemes for nonlinear equations in coupled systems: A novel Adomian decomposition approach
, 2023
An application of artificial neural networks for solving fractional higher-order linear integro-differential equations
, 2023
On the environmental performance analysis: A combined fuzzy data envelopment analysis and artificial intelligence algorithms
, 2023
Some connections between the generalized Hukuhara derivative and the fuzzy derivative based on strong linear independence
, 2023
New analysis of fuzzy fractional Langevin differential equations in Caputo's derivative sense
, 2022
Modified grasshopper optimization algorithm optimized adaptive fuzzy lead-lag controller for coordinated design of FACTS controller with PSS
, 2022
Predicting the Choice of Online or Offline Shopping Trips Using a Deep Neural Network Model and Time Series Data: A Case Study of Tehran, Iran
, 2023
Explicit analytical solutions of an incommensurate system of fractional differential equations in a fuzzy environment
, 2023
A discrete heuristic algorithm with swarm and evolutionary features for data replication problem in distributed systems
, 2023
Scale elasticity and technical efficiency analysis in the European forest sector: a stochastic value-based approach
, 2023
Fuzzy approximation of a fractional Lorenz system and a fractional financial crisis
, 2023
An interval-valued Pythagorean fuzzy group AHP-PROMETHEE approach for organizational behavior assessment and ranking in higher education of Iran considering environmental criteria
, 2023
Application of fuzzy ABC fractional differential equations in infectious diseases
, 2024
Performance analysis and managerial ability in the general insurance market: a study of India and Iran
, 2024
Improving decision-making units in performance analysis methods: a data envelopment analysis approach
, 2024
Piecewise Approximation for Bipolar Fuzzy Initial Value Problem
, 2024
The Adomian decomposition method applied to the Fuzzy system of Fredholm integral equations of the second kind
, 2006
Gaussian quadratures for approximate of fuzzy multiple integrals
, 2006
Gaussian quadratures for approximate of fuzzy integrals
, 2005
Numerical methods for approximation of fuzzy data
, 2005
Romberg integration for fuzzy functions
, 2005
The Adomian decomposition method for fuzzy system of linear equations
, 2005
Successive over relaxation iterative method for fuzzy system of linear equations
, 2005
Newton Cot's methods for integration of fuzzy functions
, 2005
Numerical methods for fuzzy differential inclusions
, 2004
Solution of a fuzzy system of linear equation
, 2006
Numerical methods for fuzzy system of linear equations
, 2004
Optimal data transmission and pathfinding for WSN and decentralized IoT systems using I-GWO and Ex-GWO algorithms
, 2023
A new method to solve linear programming problems in the environment of picture fuzzy sets
, 2022
A computational method for nonlinear Burgers' equation using quartic-trigonometric tension B-splines
, 2022
Z(+ )-Laplace transforms and Z(+ )-differential equations of the arbitrary-order, theory and applications
, 2022
Solution of initial-value problem for linear third-order fuzzy differential equations
, 2022
Classical and intelligent methods in model extraction and stabilization of a dual-axis reaction wheel pendulum: A comparative study
, 2022
Conditions to guarantee the existence of solutions for a nonlinear and implicit integro-differential equation with variable coefficients
, 2022
The Best Approximation of Generalized Fuzzy Numbers Based on Scaled Metric
, 2022
An algorithm for choosing a good shape parameter for radial basis functions method with a case study in image processing
, 2022
Realistic solution of fuzzy critical path problems, case study: the airport's cargo ground operation systems
, 2022
A New Estimation of Failure Analysis in Fuzzy Environment, Case Study: The Electrical Model Failure for the Football Stadium
, 2022
Solving Fractional Fuzzy Impulsive Differential Equations with Uncertainty by Novel Computational Technique
, 2022
A fuzzy solution of wave equation by FFS-transform
, 2020
Bifurcation and Multiplicity of Solutions of the Navier-Stokes Equations in Driven Semi-Elliptical Cavity Flow
, 2022
Solving fully linear programming problem based on Z-numbers
, 2023
Incommensurate non-homogeneous system of fuzzy linear fractional differential equations using the fuzzy bunch of real functions
, 2023
An analytical study of Pythagorean fuzzy fractional wave equation using multivariate Pythagorean fuzzy fourier transform under generalized Hukuhara Caputo fractional differentiability
, 2024
Application of the reproducing kernel method for solving linear Volterra integral equations with variable coefficients
, 2024
Solving the Fornberg-Whitham Model Derived from Gilson-Pickering Equations by Analytical Methods
, 2024
A bi-objective carton box production planning problem with benefit and wastage objectives under belief degree-based uncertainty
, 2024
Fully interval-valued fuzzy transportation problems: development and prospects
, 2024
Using a new implementation of reproducing kernel Hilbert space method to solve a system of second-order BVPs
, 2024
Ranking Z-Numbers Based on Radii of Gyration of Fuzzy Data
, 2024
A multi-step method to solve bipolar-fuzzy initial value problem
, 2024
Existence of generalized Hukuhara differentiable solutions to a class of first-order fuzzy differential equations in dual form
, 2024
Marginal rates of technical changes and impact in stochastic data envelopment analysis: An application in power industry
, 2024
Artificial neural network approach for solving fuzzy fractional order initial value problems under gH-differentiability
, 2021
Scale elasticity and technical efficiency measures in two-stage network production processes: an application to the insurance sector
, 2024
A note on ”Fuzzy linear systems”
, 2011
A new metric for L-R fuzzy numbers and its application in fuzzy linear systems
, 2012
NON ZERO SOLUTIONS OF THE FULLY FUZZY LINEAR SYSTEMS
, 2011
The use of fuzzy expansion method for solving fuzzy linear Volterra-Fredholm integral equations
, 2014
Finding an inner estimation of the solution set of a fuzzy linear system
, 2013
A fuzzy solution of heat equation under generalized Hukuhara differentiability by fuzzy Fourier transform
, 2017
Ranking of fuzzy numbers by a new metric
, 2010
Toward the existence and uniqueness of solutions of second-order fuzzy volterra integro-differential equations with fuzzy kernel
, 2013
A NEW APPROACH TO DETERMINE THE CONVERGENCE-CONTROL PARAMETER IN THE APPLICATION OF THE HOMOTOPY ANALYSIS METHOD TO SYSTEMS OF LINEAR EQUATIONS
, 2013
Solving fuzzy differential equations based on the length function properties
, 2015
A new approach to obtain algebraic solution of interval linear systems
, 2012
Evaluation of fully fuzzy regression models by fuzzy neural network
, 2012
On the fuzzy solution of LR fuzzy linear systems
, 2013
Iterative method for fuzzy equations
, 2008
Fuzzy linear matrix equation
, 2009
A new method for solving an arbitrary fully fuzzy linear system
, 2013
Concreted solutions to fuzzy linear fractional differential equations
, 2016
NUMERICAL METHODS FOR FUZZY LINEAR PARTIAL DIFFERENTIAL EQUATIONS UNDER NEW DEFINITION FOR DERIVATIVE
, 2010
The exact solutions of fuzzy wave-like equations with variable coefficients by a variational iteration method
, 2011
DEFUZZIFICATION METHOD FOR RANKING FUZZY NUMBERS BASED ON CENTER OF GRAVITY
, 2012
On the algebraic solution of fuzzy linear systems based on interval theory
, 2012
Note on ”Trapezoidal approximation of fuzzy numbers”
, 2007
Euler method for solving hybrid fuzzy differential equation
, 2011
A new method for solving fuzzy integro-differential equation under generalized differentiability
, 2012
Maximal- and minimal symmetric solutions of fully fuzzy linear systems
, 2011
Applications of fuzzy Laplace transforms
, 2013
The Adomian decomposition method applied to the Fuzzy system of Fredholm integral equations of the second kind
, 2006
Fuzzy symmetric solutions of fuzzy linear systems
, 2011
Improved predictor-corrector method for solving fuzzy initial value problems
, 2009
Application of fuzzy differential transform method for solving fuzzy Volterra integral equations
, 2013
A new method for solving fuzzy linear differential equations
, 2011
Block Jacobi two-stage method with Gauss-Sidel inner iterations for fuzzy system of linear equations
, 2006
A note on ”Fuzzy linear systems”
, 2011
Existence and uniqueness results for fractional differential equations with uncertainty
, 2012
Nth-order fuzzy linear differential equations
, 2008
Toward the existence and uniqueness of solutions of second-order fuzzy differential equations
, 2009
On fuzzy solutions for heat equation based on generalized Hukuhara differentiability
, 2015
Fuzzy Laplace transforms
, 2010
Solving fuzzy differential equations by differential transformation method
, 2009
Solution of a fuzzy system of linear equation
, 2006
