Browsing by Author "Allahviranloo, Tofigh"
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Multistep gHdifferencebased methods for fuzzy differential equations
Safikhani, Leila; Vahidi, Alireza; Allahviranloo, Tofigh; Afshar Kermani, Mozhdeh (Springer Nature, 2023)The main purpose of this paper is to introduce fuzzy Adams–Bashforth (A–B) and fuzzy Adams–Moulton (A–M) methods based on the generalized Hukuhara (gH)differentiability and employ them as the predictor and corrector, ... 
New analysis of fuzzy fractional Langevin differential equations in Caputo's derivative sense
Akram, Muhammad; Muhammad, Ghulam; Allahviranloo, Tofigh; Ali, Ghada (AMER INST MATHEMATICAL SCIENCESAIMS, 2022)The extraction of analytical solution of uncertain fractional Langevin differential equations involving two independent fractionalorder is frequently complex and difficult. As a result, developing a proper and comprehensive ... 
A new effective approximate multiplication operation on LR fuzzy numbers and its application
Ghanbari, M.; Allahviranloo, T.; Nuraei, R.; Pedrycz, W. (Springer Science and Business Media Deutschland, 2022)The arithmetic operations on fuzzy numbers are the necessary tools for solving fuzzy equations. Unlike the addition, the procedure of multiplication of two fuzzy numbers is more demanding. In this paper, a new approximate ... 
A new estimation of failure analysis in fuzzy environment, case study: The electrical model failure for the football stadium
Allahviranloo, Tofigh; Abbasi, Fazlollah (World Scientific Publishing Co. Pte. Ltd., 2022)In this paper, we propose the new fuzzy arithmetic operations based on transmission average on pseudohexagonal fuzzy numbers from [F. Abbasi, T. Allahviranloo and S. Abbasbandy, A new attitude coupled with fuzzy thinking ... 
A new maximal flow algorithm for solving optimization problems with linguistic capacities and flows
Akram, Muhammad; Habib, Amna; Allahviranloo, Tofigh (ELSEVIER SCIENCE INC, 2022)The maximal flow problems (MFPs) are among the most significant optimization problems in network flow theory with widespread and diverse applications. To represent qualitative aspects of uncertainty in the maximal flow ... 
A new method for solving linear programming problems using Znumbers' ranking
Hasankhani, Fatemeh; Daneshian, Behrouz; Allahviranloo, Tofigh; Khiyabani, Farzin Modarres (SPRINGER HEIDELBERG, 2021)In this paper, the concept of the full Zlinear programming problem (FZLP) is first introduced. It is worth to mention that in these type of problems, all parameters, including the coefficients of variables in the objective ... 
A new method for the solution of fully fuzzy linear programming models
Akram, Muhammad; Ullah, Inayat; Allahviranloo, Tofigh (Springer Science and Business Media Deutschland GmbH, 2022)In this study, we first show that the existing arithmetic operations of trapezoidal fuzzy numbers do not satisfy the basic properties. Then, for trapezoidal fuzzy numbers, we define new arithmetic operations. Furthermore, ... 
A new method to solve linear programming problems in the environment of picture fuzzy sets
Akram, Muhammad; Ullah, Iftikhar; Allahviranloo, Tofigh (Iranian Journal of Fuzzy Systems, 2022)Picture fuzzy set is characterized by neutral membership function along with the membership and nonmembership functions, and is, therefore, more general than the intuitionistic fuzzy set which is only characterized by ... 
A numerical method for approximating the solution of fuzzy fractional optimal control problems in caputo sense using legendre functions
Mirvakili, Massoud; Allahviranloo, Tofigh; Soltanian, Fahimeh (IOS PRESS, 2022)Fractional order differential equations accurately model dynamic systems and processes. In some of the fractional optimal control problems (FOCPs), due to the ambiguity in the initial conditions and the transfer of ambiguity ... 
On the properties and applications of fuzzy analytic equations
Sabzi, Kh; Allahviranloo, Tofigh; Abbasbandy, Saeid (Elsevier B.V., 2021)This paper presents the fuzzy power series method to solve the secondorder differential equation under generalized Hukuhara differentiability with fuzzy and real coefficients. For this purpose, different types of fuzzy ... 
Optimal data transmission and pathfinding for WSN and decentralized IoT systems using IGWO and ExGWO algorithms
Seyyedabbasi, Amir; Kiani, Farzad; Allahviranloo, Tofigh; FernandezGamiz, Unai; Noeiaghdam, Samad (Elsevier B.V., 2023)Efficient resource use is a very important issue in wireless sensor networks and decentralized IoTbased systems. In this context, a smooth pathfinding mechanism can achieve this goal. However, since this problem is a ... 
Ranking the return on assets of tehran stock exchange by a new method based on znumbers data
Farzam, Maryam; Mozhdeh, Afshar; Allahviranloo, Tofigh; Aminataei, Azim (Hindawi Ltd, 2023)Since realworld data are often inaccurate and working with fuzzy data and Znumbers are very important and necessary, and in the real world, we need to rank and compare data, in this article, we introduce a new method for ... 
Realistic solution of fuzzy critical path problems, case study: the airport's cargo ground operation systems
Fazlollah, Abbasi; Allahviranloo, Tofigh (Springer, 2022)In fact, this research is executed in an environment where uncertainty is the principal feature of it. One of these uncertainties in the project planning process is estimating the duration of activities. This paper presents ... 
Solution of initialvalue problem for linear thirdorder fuzzy differential equations
Muhammad, Ghulam; Allahviranloo, Tofigh; Pedrycz, Witold (SPRINGER HEIDELBERG, 2022)Every realworld physical problem is inherently based on uncertainty. It is essential to model the uncertainty then solve, analyze and interpret the result one encounters in the world of vagueness. Generally, science and ... 
Solving a fuzzy fractional diffusion model for cancer tumor by using fuzzy transforms
Keshavarz, Masoumeh; Qahremani E.; Allahviranloo, Tofigh (Elsevier B.V., 2021)This study obtains a fuzzy solution to the mathematical model of a cancer tumor under Caputogeneralized Hukuhara partial differentiability by using fuzzy integral transforms. In order to solve the fuzzy partial fractional ... 
Solving fully fuzzy linear system: A new solution concept
Abbasi, F. (Elsevier Inc., 2022)Recently, the solutions of fuzzy linear systems have been considered by many researchers. Most of these studies use the same extension method as Friedman et al. (1998). The standard fuzzy arithmetic based on the extension ... 
A solving method for twodimensional homogeneous system of fuzzy fractional differential equations
Akram, Muhammad; Muhammad, Ghulam; Allahviranloo, Tofigh; Ali, Ghada (American Institute of Mathematical Sciences, 2022)The purpose of this study is to extend and determine the analytical solution of a twodimensional homogeneous system of fuzzy linear fractional differential equations with the Caputo derivative of two independent fractional ... 
State feedback control for fractional differential equation system in the space of linearly correlated fuzzy numbers
Son, Nguyen Thi Kim; Thao, Hoang Thi Phuong; Allahviranloo, Tofigh; Long, Hoang Viet (Elsevier, 2022)In this paper, we will introduce Caputo fractional LC derivative defined in the linear correlated fuzzyvalued number space RF (A) and some of its applications, specifically the feedback control problem in the space RF ... 
Twodimensional muntzlegendre wavelet method for fuzzy hybrid differential equations
Shahryari, N.; Allahviranloo, T.; Abbasbandy, Saeid (World Scientific, 2022)In this paper, the fuzzy approximate solutions for the fuzzy Hybrid differential equation emphasizing the type of generalized Hukuhara differentiability of the solutions are obtained by using the twodimensional MuntzLegendre ... 
Z+laplace transforms and Z+differential equations of the arbitraryorder, theory and applications
Ardeshiri Lordejani, Maryam; Afshar Kermani, Mozhdeh; Allahviranloo, Tofigh (Elsevier Inc., 2022)This paper provides a framework to study a class of arbitraryorder uncertain differential equations known as arbitraryorder Z+differential equations. For this purpose, we first present the parametric form of Z+numbers. ...