### فهرست مطالب

• Volume:11 Issue:2, 2019
• تاریخ انتشار: 1397/12/26
• تعداد عناوین: 7
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• N. Ahmady * Pages 71-77
In this paper we present a numerical method for fuzzy differential equation of fractional order under gH-fractional Caputo differentiability. The main idea of this method is to approximate the solution of fuzzy fractional differential equation (FFDE) by an implicit method as corrector and explicit method as predictor. This method is tested on numerical examples.
Keywords: Fuzzy fractional differential equations, Caputo generalized Hukuhara differentiability, Predictor-Corrector method
• S. Hatamzadeh, Varmazyar *, Z. Masouri Pages 79-87
A numerical method for solving linear integral equations of the second kind is formulated. Based on a special representation of vector forms of triangular functions and the related operational matrix of integration, the integral equation reduces to a linear system of algebraic equations. Generation of this system needs no integration, so all calculations can easily be implemented. Numerical results for some examples show that the method has a good accuracy.
Keywords: Integral equations of the second kind, Direct method, Vector forms, Triangular functions, Approximate solution
• Shyam Lal ‎Yadav‎, Dileep Kumar *, ‎Ashok Kumar Singh Pages 89-98
This article presents the exact solutions of the velocity and temperature fields for a steady fully developed magnetohydrodynamic flow of a viscous incompressible and electrically conducting fluid between two horizontal concentric cylinders. Our study focuses on the influence of the Hartmann number, Brinkman number, Péclet number and inner radius on the fluid temperature field, entropy generation rate and irreversibility ratio with the help of graphs and table.
Keywords: Free convection, Magnetohydrodynamics, Modified Bessel function, Entropy generation, Irreversibility ratio
• N. Araghi, H. Nikoomaram *, F. Ghaffari Pages 99-109
This article studies the optimization of pricing decisions in a supply chain with different channels under different power structure. Three different channel will be considered here; these include: the decentralized, the semi-integrated, and the integrated channel. There are two types of power balance structures for both the decentralized and the semi-integrated channels. The first type is a leader_ follower power structure and the second type is an independent power structure.
Keywords: pricing, Supply chain management, Game theory, Decision making, Optimization
• S. Niroomand * Pages 111-118
A fractional minimal cost flow problem under linear type belief degree based uncertainty is studied for the first time. This type of uncertainty is useful when no historical information of an uncertain event is available. The problem is crisped using an uncertain chance-constrained programming approach and its non-linear objective function is linearized by a variable changing approach. An illustrative example is solved to prove the efficiency of the proposed formulation.
Keywords: Uncertainty theory, Belief degree, Fractional minimal cost flow problem, Chance-constrained programming
• M. Khounsiavash *, R. Kazemi Matin, M. Khodabin Pages 119-130
In the conventional data envelopment analysis (DEA) internal sub-processes of the production units are ignored. The current paper develops a network-DEA super-efficiency model to compare the performance of efficient network systems. A new ranking method is developed by aggregating the computed super-efficiency scores with a J-divergence measure. The proposed approach is then applied to evaluate wheat productions in Iran provinces.
Keywords: Data Envelopment Analysis, Network DEA, Super-efficiency, J-divergence, Ranking
• H. ‎Nouriani‎, R. ‎Ezzati‎‎‎* Pages 131-142
‎In this paper‎, ‎firstly‎, ‎we review approximation of fuzzy functions‎ ‎by fuzzy bicubic splines interpolation and present a new approach‎ ‎based on the two-dimensional fuzzy splines interpolation and‎ ‎iterative method to approximate the solution of two-dimensional‎ ‎linear fuzzy Fredholm integral equation (2DLFFIE)‎. ‎Also‎, ‎we prove‎ ‎convergence analysis and numerical stability analysis for the‎ ‎proposed numerical algorithm‎. ‎Finally‎, ‎by an example‎, ‎we show the‎ ‎efficiency of the proposed ‎method.‎
Keywords: Two-dimensional linear fuzzy‎ ‎Fredholm integral equations, Two dimensional fuzzy splines‎ ‎interpolation, Iterative method, Fuzzy‎ ‎numbers‎