T. Allahviranloo
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
[ 1 ] - The embedding method to obtain the solution of fuzzy linear systems
In this paper, we investigate the general fuzzy linear system of equations. The main aim of this paper is based on the embedding approach. We find the necessary and sufficient conditions for the existence of fuzzy solution of the mentioned systems. Finally, Numerical examples are presented to more illustration of the proposed model.
[ 2 ] - DEFUZZIFICATION METHOD FOR RANKING FUZZY NUMBERS BASED ON CENTER OF GRAVITY
Ranking fuzzy numbers plays a very important role in decision making and some other fuzzy application systems. Many different methods have been proposed to deal with ranking fuzzy numbers. Constructing ranking indexes based on the centroid of fuzzy numbers is an important case. But some weaknesses are found in these indexes. The purpose of this paper is to give a new ranking index to rank vario...
[ 3 ] - Solution of the first order fuzzy differential equations with generalized differentiability
In this paper, we study first order linear fuzzy differential equations with fuzzy coefficient and initial value. We use the generalized differentiability concept and apply the exponent matrix to present the general form of their solutions. Finally, one example is given to illustrate our results.
[ 4 ] - بررسی شرایط کاری موثر بر عملکرداپراتور(CPCs) و تعیین احتمال خطای کلی توسط تکنیک CREAMفازی (یکی از مناطق عملیاتی شرکت انتقال گاز)
Review: Background: With the auto-parts industry to date, still, man, play an important role in various areas of design, operation, maintenance and monitoring of the system plays. All activities in the sectors affected by the special working conditions or career opportunities that are given to us at the time, formed a triad MTO (human, technology and organization) merits. Therefore, the promoti...
[ 5 ] - Optimization of Solution Regularized Long-wave Equation by Using Modified Variational Iteration Method
In this paper, a regularized long-wave equation (RLWE) is solved by using the Adomian's decomposition method (ADM) , modified Adomian's decomposition method (MADM), variational iteration method (VIM), modified variational iteration method (MVIM) and homotopy analysis method (HAM). The approximate solution of this equation is calculated in the form of series which its components are computed by ...
[ 6 ] - طراحی سیستم پشتیبانی تصمیم‌گیری برای پیش‌بینی موفقیت مراکز تحقیقاتی با کمک تحلیل ممیز در تحلیل پوششی داده‌ها
Relief research centers have an important place in promoting science and technology nationwide. On the other hand, given the limitations in allocating the funds and the facilities needed to establish these centers, it is important to decide on the selection of priority centers. In this decision-making process, several factors, such as requirements, priorities and strategies, capabilities, and b...
[ 7 ] - The fuzzy generalized Taylor’s expansion with application in fractional differential equations
In this paper, the generalized Taylor’s expansion is presented for fuzzy-valued functions. To achieve this aim, fuzzyfractional mean value theorem for integral, and some properties of Caputo generalized Hukuhara derivative are necessarythat we prove them in details. In application, the fractional Euler’s method is derived for solving fuzzy fractionaldifferential equations in the sense of Caputo...
[ 8 ] - A new Levenberg-Marquardt approach based on Conjugate gradient structure for solving absolute value equations
In this paper, we present a new approach for solving absolute value equation (AVE) whichuse Levenberg-Marquardt method with conjugate subgradient structure. In conjugate subgradientmethods the new direction obtain by combining steepest descent direction and the previous di-rection which may not lead to good numerical results. Therefore, we replace the steepest descentdir...
[ 9 ] - Homotopy analysis method and its application for singularly perturbed delay differential equations with layer behavior
در این مقاله یک روش تحلیلی بر پایه‌ی روش تحلیل هموتوپی برای حل معادله دیفرانسیل-تفاضلی اختشاشی منفرد ارائه شده است. معادلات مورد بررسی در این مقاله از نوع تاخیری است که دارای رفتار لایه مرزی نیز هستند. تفاوت روش تحلیل هموتوپی با روشهای تحلیلی دیگر فراهم کردن یک راه ساده برای کنترل ناحیه همگرایی سری جواب بدست آمده معادله با استفاده از پارامتر کمکی تعبیه شده در این روش است. در این مقاله صحت و درس...
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