Browsing by Author "Akram, Muhammad"
Now showing items 1-8 of 8
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Analysis on determining the solution of fourth-order fuzzy initial value problem with Laplace operator
Akram, Muhammad; Ihsan, Tayyaba; Allahviranloo, Tofigh; Al-Shamiri, Mohammed M. Ali (AMER INST MATHEMATICAL SCIENCES-AIMS, 2022)This study presents a new analytical method to extract the fuzzy solution of the fuzzy initial value problem (FIVP) of fourth-order fuzzy ordinary differential equations (FODEs) using the Laplace operator under the strongly ... -
An efficient numerical method for solving m-polar 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 ... -
A method for solving bipolar fuzzy complex linear systems with real and complex coefficients
Akram, Muhammad; Ali, Muhammad; Allahviranloo, Tofigh (Springer Science and Business Media Deutschland GmbH, 2022)An extensive variety of human decision making is based on two-sided 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 SCIENCES-AIMS, 2022)The extraction of analytical solution of uncertain fractional Langevin differential equations involving two independent fractional-order is frequently complex and difficult. As a result, developing a proper and comprehensive ... -
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 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 non-membership functions, and is, therefore, more general than the intuitionistic fuzzy set which is only characterized by ... -
A solving method for two-dimensional 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 ...