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Abdorreza Panahi

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Papers by Abdorreza Panahi

Research paper thumbnail of Enhancing Nodes Lifetime Optimum Protocol for Dissemination of Information in WSN

International Journal of Computers Communications & Control, 2014

Challenging issue in Wireless Sensor Networks (WSNs) is assessment of energy and lifetime at diff... more Challenging issue in Wireless Sensor Networks (WSNs) is assessment of energy and lifetime at different nodes within the networks. Various methods may be employed to improve lifetime (reduce energy consumption). One such method involves balancing loads on nodes when data is being transmitted from source to destination nodes. Multi-path routing techniques can be used for this purpose. In these techniques no global information is available regard the path, making it difficult to create multipath routes from sources nodes to destination nodes. Another problem with these networks is a routing applied to source nodes independently from that applied used for destination nodes. This creates energy loss and reduces lifetime. To overcome this problem, the present paper makes use of clustering by selecting virtual nodes to gather information from sources and sending it to destination nodes. The New Protocol for Enhancing Nods Lifetime (PENL) is implemented through NS-2.

Research paper thumbnail of Approximate Solution of Fuzzy Fractional Differential Equations

International Journal of Industrial Mathematics, 2017

‎In this paper we propose a method for computing approximations of solution of fuzzy fractional d... more ‎In this paper we propose a method for computing approximations of solution of fuzzy fractional differential equations using fuzzy variational iteration method. Defining a fuzzy fractional derivative, we verify the utility of the method through two illustrative ‎examples.‎

Research paper thumbnail of L~ U~ decomposition of a fuzzy Matrix

Research paper thumbnail of Transmission Fixed Cost Allocation in Deregulated Environment based on Cooperative Game Theory

The cooperative game theory is proposed to the transmission fixed cost allocation incurred to acc... more The cooperative game theory is proposed to the transmission fixed cost allocation incurred to accommodate all the players. This method dominates the difficulties of conventionally used methods, such as postage stamp method and MW miles method, and encouraging the economically optimal usage of the transmission facilities. Under the deregulated environment, the cost needs to be allocated to the loads as well as generators fairly and unbiased so as to provide a locational signal to both types of players for optimal setting. This paper proposes game theoretic models based on the Shapley value approaches for transmission cost allocation problems under the deregulated environment. The obtained results are compared with the conventionally adopted methodologies to defend easy implementation and effectiveness of the proposed methodologies. (Javad Nikoukar, Abdorreza Panahi. Transmission Fixed Cost Allocation in Deregulated Environment based on Cooperative Game Theory. Journal of American Sci...

Research paper thumbnail of Fractional Differential Equations with Fuzzy Order

In this paper we introduce fractional differential equations with fuzzy order. Then using Variati... more In this paper we introduce fractional differential equations with fuzzy order. Then using Variational iteration method we propose a method for computing approximations of solution of fractional differential equations with fuzzy order.

Research paper thumbnail of Fuzzy Fractional Initial Value Problems

In this paper we define fuzzy fractional derivative in Caputo sense. Then using Adomian decomposi... more In this paper we define fuzzy fractional derivative in Caputo sense. Then using Adomian decomposition method we propose a method for computing approximations of solution of fuzzy fractional initial value problems.

Research paper thumbnail of A new definition for defuzzification of generalized fuzzy numbers and its application

Applied Soft Computing, 2015

In this paper, a new approach for defuzzification of generalized fuzzy numbers is established. Th... more In this paper, a new approach for defuzzification of generalized fuzzy numbers is established. This method uses the incentre point of a triangle where the three bisector lines of its angles meet. Coordinates of incentre point can also be easily calculated by the "Mathematica" package to solve problems of defuzzification and ranking fuzzy numbers. Some numerical examples are illustrated to show the utility of proposed method.

Research paper thumbnail of Paper: SOLVING FUZZY DIFFERENTIAL INCLUSIONS USING THE LV-REPRESENTATION OF FUZZY NUMBERS

Research paper thumbnail of Solving fuzzy differential inclusions using the LU-representation of fuzzy numbers

Research paper thumbnail of Paper: A COMPUTATIONAL METHOD TO FIND AN APPROXIMATE ANALYTICAL SOLUTION FOR FUZZY DIFFERENTIAL EQUATIONS

Research paper thumbnail of Paper: TRANSMISSION COST ALLOCATION BASED ON COOPERATIVE GAME THEORY

Research paper thumbnail of Transmission cost allocation based on cooperative game theory

Research paper thumbnail of Solving Fuzzy Linear Systems of Equations

Research paper thumbnail of First Joint Congress on Fuzzy and Intelligent Systems Ferdowsi University of Mashhad, Iran 29-31 Aug 2007

Research paper thumbnail of A computational method to find an approximate analytical solution for fuzzy differential equations

Research paper thumbnail of A Computational Method for Solving Fuzzy Differential Inclusions

In this paper, a computational method is used for solving the fuzzy differential inclusions. Usin... more In this paper, a computational method is used for solving the fuzzy differential inclusions. Using an specific representation of fuzzy numbers we apply the Runge-Kutta method and find an approximate solution for fuzzy differential inclusions.

Research paper thumbnail of Solving fuzzy differential inclusions using the LU-representation of fuzzy numbers

Research paper thumbnail of Enhancing Nodes Lifetime Optimum Protocol for Dissemination of Information in WSN

International Journal of Computers Communications & Control, 2014

Challenging issue in Wireless Sensor Networks (WSNs) is assessment of energy and lifetime at diff... more Challenging issue in Wireless Sensor Networks (WSNs) is assessment of energy and lifetime at different nodes within the networks. Various methods may be employed to improve lifetime (reduce energy consumption). One such method involves balancing loads on nodes when data is being transmitted from source to destination nodes. Multi-path routing techniques can be used for this purpose. In these techniques no global information is available regard the path, making it difficult to create multipath routes from sources nodes to destination nodes. Another problem with these networks is a routing applied to source nodes independently from that applied used for destination nodes. This creates energy loss and reduces lifetime. To overcome this problem, the present paper makes use of clustering by selecting virtual nodes to gather information from sources and sending it to destination nodes. The New Protocol for Enhancing Nods Lifetime (PENL) is implemented through NS-2.

Research paper thumbnail of Approximate Solution of Fuzzy Fractional Differential Equations

International Journal of Industrial Mathematics, 2017

‎In this paper we propose a method for computing approximations of solution of fuzzy fractional d... more ‎In this paper we propose a method for computing approximations of solution of fuzzy fractional differential equations using fuzzy variational iteration method. Defining a fuzzy fractional derivative, we verify the utility of the method through two illustrative ‎examples.‎

Research paper thumbnail of L~ U~ decomposition of a fuzzy Matrix

Research paper thumbnail of Transmission Fixed Cost Allocation in Deregulated Environment based on Cooperative Game Theory

The cooperative game theory is proposed to the transmission fixed cost allocation incurred to acc... more The cooperative game theory is proposed to the transmission fixed cost allocation incurred to accommodate all the players. This method dominates the difficulties of conventionally used methods, such as postage stamp method and MW miles method, and encouraging the economically optimal usage of the transmission facilities. Under the deregulated environment, the cost needs to be allocated to the loads as well as generators fairly and unbiased so as to provide a locational signal to both types of players for optimal setting. This paper proposes game theoretic models based on the Shapley value approaches for transmission cost allocation problems under the deregulated environment. The obtained results are compared with the conventionally adopted methodologies to defend easy implementation and effectiveness of the proposed methodologies. (Javad Nikoukar, Abdorreza Panahi. Transmission Fixed Cost Allocation in Deregulated Environment based on Cooperative Game Theory. Journal of American Sci...

Research paper thumbnail of Fractional Differential Equations with Fuzzy Order

In this paper we introduce fractional differential equations with fuzzy order. Then using Variati... more In this paper we introduce fractional differential equations with fuzzy order. Then using Variational iteration method we propose a method for computing approximations of solution of fractional differential equations with fuzzy order.

Research paper thumbnail of Fuzzy Fractional Initial Value Problems

In this paper we define fuzzy fractional derivative in Caputo sense. Then using Adomian decomposi... more In this paper we define fuzzy fractional derivative in Caputo sense. Then using Adomian decomposition method we propose a method for computing approximations of solution of fuzzy fractional initial value problems.

Research paper thumbnail of A new definition for defuzzification of generalized fuzzy numbers and its application

Applied Soft Computing, 2015

In this paper, a new approach for defuzzification of generalized fuzzy numbers is established. Th... more In this paper, a new approach for defuzzification of generalized fuzzy numbers is established. This method uses the incentre point of a triangle where the three bisector lines of its angles meet. Coordinates of incentre point can also be easily calculated by the "Mathematica" package to solve problems of defuzzification and ranking fuzzy numbers. Some numerical examples are illustrated to show the utility of proposed method.

Research paper thumbnail of Paper: SOLVING FUZZY DIFFERENTIAL INCLUSIONS USING THE LV-REPRESENTATION OF FUZZY NUMBERS

Research paper thumbnail of Solving fuzzy differential inclusions using the LU-representation of fuzzy numbers

Research paper thumbnail of Paper: A COMPUTATIONAL METHOD TO FIND AN APPROXIMATE ANALYTICAL SOLUTION FOR FUZZY DIFFERENTIAL EQUATIONS

Research paper thumbnail of Paper: TRANSMISSION COST ALLOCATION BASED ON COOPERATIVE GAME THEORY

Research paper thumbnail of Transmission cost allocation based on cooperative game theory

Research paper thumbnail of Solving Fuzzy Linear Systems of Equations

Research paper thumbnail of First Joint Congress on Fuzzy and Intelligent Systems Ferdowsi University of Mashhad, Iran 29-31 Aug 2007

Research paper thumbnail of A computational method to find an approximate analytical solution for fuzzy differential equations

Research paper thumbnail of A Computational Method for Solving Fuzzy Differential Inclusions

In this paper, a computational method is used for solving the fuzzy differential inclusions. Usin... more In this paper, a computational method is used for solving the fuzzy differential inclusions. Using an specific representation of fuzzy numbers we apply the Runge-Kutta method and find an approximate solution for fuzzy differential inclusions.

Research paper thumbnail of Solving fuzzy differential inclusions using the LU-representation of fuzzy numbers

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