Browsing by Author "Allahviranloo, Tofigh"
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Analysis on determining the solution of fourthorder fuzzy initial value problem with Laplace operator
Akram, Muhammad; Ihsan, Tayyaba; Allahviranloo, Tofigh; AlShamiri, Mohammed M. Ali (AMER INST MATHEMATICAL SCIENCESAIMS, 2022)This study presents a new analytical method to extract the fuzzy solution of the fuzzy initial value problem (FIVP) of fourthorder fuzzy ordinary differential equations (FODEs) using the Laplace operator under the strongly ... 
A computational method for nonlinear Burgers’ equation using quartictrigonometric tension Bsplines
Yigit, Gulsemay; Hepson, Ozlem Ersoy; Allahviranloo, Tofigh (Springer Medizin, 2022)This work proposes a finite element method emphasizing with quartictrigonometric basis functions for finding the numerical solution of nonlinear Burgers’ equation. The computational scheme is constructed by a discretized ... 
An efficient numerical method for solving mpolar fuzzy initial value problems
Akram, Muhammad; Saqib, Muhammad; Bashir, Shahida; Allahviranloo, Tofigh (Springer Science and Business Media Deutschland GmbH, 2022)Several problems in the field of science and technology are modeled with information about the situation that is ambiguous, imprecise, or incomplete. That is, the information about values of parameters, functional ... 
The exact solutions of the conformable timefractional modified nonlinear schrodinger equation by the trial equation method and modified trial equation method
Aderyani, S.R.; Saadati, R.; Vahidi, J.; Allahviranloo, T. (Hindawi, 2022)Using the trial equation method (TEM) and modified trial equation method (MTEM), firstly, we find the analytical solutions of the conformable timefractional modified nonlinear Schrödinger equation (CTFMNLSE), and finally, ... 
Existence, uniqueness and matrixvalued fuzzy mittag–leffler–hypergeometric–wright stability for p hilfer fractional differential equations in matrixvalued fuzzy banach space
Aderyani, Safoura Rezaei; Saadati, Reza; Allahviranloo, Tofigh (Springer Science and Business Media Deutschland GmbH, 2022)We introduce a new class of fuzzy control functions and define the concept of matrixvalued fuzzy Mittag–Leffler–Hypergeometric–Wright stability. Then, we apply Radu–Mihet method derived from an alternative fixed point ... 
Finitetime stability of mild solution to timedelay fuzzy fractional differential systems under granular computing
Dong, Nguyen Phuong; Son, Nguyen Thi Kim; Allahviranloo, Tofigh; Tam, Ha Thi Thanh (Springer Nature, 2022)In this work, based on the concept of the granular Caputo fractional derivative, a class of fuzzy fractional differential systems with finitetime delay is investigated. We firstly introduce the concept of MittagLeffler ... 
Generalized Hukuhara conformable fractional derivative and its application to fuzzy fractional partial differential equations
Ghaffari, Manizheh; Allahviranloo, Tofigh; Abbasbandy, Saeid; Azhini, Mahdi (SPRINGER, 2022)The main focus of this paper is to develop an efficient analytical method to obtain the traveling wave fuzzy solution for the fuzzy generalized Hukuhara conformable fractional equations by considering the type of generalized ... 
Interval model for calculating prospect cross efficiency of data envelopment analysis and providing a solution for its expansion in fuzzy model
Rahmani, Amir; RostamyMalkhalifeh, Mohsen; Lotfi, Farhad Hosseinzadeh; Allahviranloo, Tofigh (SEMNAN UNIV, 2021)Cross efficiency evaluation of data envelopment analysis (DEA) is an effective tool in measuring the performance of decisionmaking units. In general, in cross efficiency evaluation models, it is assumed that decision ... 
Introducing a trapezoidal interval type2 fuzzy regression model
Mokhtari, M.; Allahviranloo, T.; Behzadi, M.H.; Lotfi, F.H. (IOS Press, 2022)The uncertainty is an important attribute about data that can arise from different sources including randomness and fuzziness, therefore in uncertain environments, especially, in modeling, planning, decisionmaking, and ... 
Introducing and solving the hesitant fuzzy system A X = B
Babakordi, Fatemeh; Allahviranloo, Tofigh (Systems Research Institute, Polish Academy of Sciences, 2022)In this paper the solution for hesitant fuzzy system as AX = B is introduced where A is an n ×n known hesitant fuzzy matrix, B is an n ×1 known hesitant fuzzy vector and X is an n ×1 unknown hesitant fuzzy vector. First, ... 
A method for solving bipolar fuzzy complex linear systems with real and complex coefficients
Akram, M.; Ali, M.; Allahviranloo, T. (Springer Science and Business Media Deutschland GmbH, 2022)An extensive variety of human decision making is based on twosided or bipolar cognitive assessment of a positive side and a negative side. Zhang’s bipolar fuzzy set is represented as {∀(x,y)(x,y)∈[1,0]×[0,1]}.The ... 
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, F. (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 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, M.; Ullah, I.; Allahviranloo, T. (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 numerical method for approximating the solution of fuzzy fractional optimal control problems in caputo sense using legendre functions
Mirvakili, M.; Allahviranloo, T.; Soltanian, F. (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 K.; Allahviranloo T.; Abbasbandy S. (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 ... 
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 ... 
Solving a fuzzy fractional diffusion model for cancer tumor by using fuzzy transforms
Keshavarz M.; Qahremani E.; Allahviranloo T. (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 ...