Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
8
1
2016
01
01
Fuzzy efficiency: Multiplier and enveloping CCR models
1
8
EN
A. A.
Hosseinzadeh
Department of Mathematics, Lahijan Branch, Islamic Azad University, Guilan, Iran.
hosseinzadeh_ali@yahoo.com
F.
Hosseinzadeh Lotfi
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Z.
Moghaddas
Department of Electrical, Computer and Biomedical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran.
Comparing the performance of a set of activities or organizations under uncertainty environment has been performed by means of Fuzzy Data Envelopment Analysis (FDEA) since the traditional DEA models require accurate and precise performance data. As regards a method for dealing with uncertainty environment, many researchers have introduced DEA models in fuzzy environment. Some of these models are solved by transforming fuzzy models into their crisp counterparts. In this paper applying a fuzzy metric and a ranking function, obtained from it, the multiplier fuzzy CCR model converts to its crisp counterpart. Solving this model yields the optimal solution of fuzzy multiplier model. Moreover, in the following some properties and theorems about mentioned enveloping and multiplier models have been proved.
Fuzzy number,Fuzzy DEA,Ranking
http://ijim.srbiau.ac.ir/article_8514.html
http://ijim.srbiau.ac.ir/article_8514_d64d31584934859d2f692336a42130f8.pdf
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
8
1
2016
01
01
Bessel multipliers on the tensor product of Hilbert $C^ast-$ modules
9
16
EN
M.
Mirzaee Azandaryani
Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran.
m.mirzaee@qom.ac.ir
In this paper, we first show that the tensor product of a finite number of standard g-frames (resp. fusion frames, frames) is a standard g-frame (resp. fusion frame, frame) for the tensor product of Hilbert $C^ast-$ modules and vice versa, then we consider tensor products of g-Bessel multipliers, Bessel multipliers and Bessel fusion multipliers in Hilbert $C^ast-$modules. Moreover, we obtain some results for the tensor product of duals using Bessel multipliers.
G-frames,Bessel multipliers,tensor products,Hilbert $C^ast-$ modules
http://ijim.srbiau.ac.ir/article_8515.html
http://ijim.srbiau.ac.ir/article_8515_b13d524bd350a66db6fbfcfca1fa8d18.pdf
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
8
1
2016
01
01
Error estimation of fuzzy Newton-Cotes method for Integration of fuzzy functions
17
23
EN
N.
Ahmady
Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran.
n.ahmadi@iauvaramin.ac.ir
E.
Ahmady
Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran.
Fuzzy Newton-Cotes method for integration of fuzzy functions that was proposed by Ahmady in [1]. In this paper we construct error estimate of fuzzy Newton-Cotes method such as fuzzy Trapezoidal rule and fuzzy Simpson rule by using Taylor's series. The corresponding error terms are proven by two theorems. We prove that the fuzzy Trapezoidal rule is accurate for fuzzy polynomial of degree one and fuzzy Simpson rule is accurate for polynomial of degree three. The accuracy of fuzzy Trapezoidal rule and fuzzy Simpson rule for integration of fuzzy functions are illustrated by two examples.
Fuzzy integration,Fuzzy Newton-Cotes method,Fuzzy trapezoidal's rule,Fuzzy Simpson's rule
http://ijim.srbiau.ac.ir/article_8519.html
http://ijim.srbiau.ac.ir/article_8519_a144b61cec29c1884762c84e40a9fb88.pdf
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
8
1
2014
01
01
An approach to fault detection and correction in design of systems using of Turbo codes
25
39
EN
H.
Hamidi
Information Technology Engineering Group, Department of Industrial Engineering, K. N. Toosi University of Technology, Tehran, Iran.
h_hamidi@kntu.ac.ir
We present an approach to design of fault tolerant computing systems. In this paper, a technique is employed that enable the combination of several codes, in order to obtain flexibility in the design of error correcting codes. Code combining techniques are very effective, which one of these codes are turbo codes. The Algorithm-based fault tolerance techniques that to detect errors rely on the comparison of parity values computed in two ways, the parallel processing of input parity values produce output parity values comparable with parity values regenerated from the original processed outputs, can apply turbo codes for the redundancy. The goal is to describe new protection techniques that are easily combined with normal data processing methods, leading to more effective fault tolerance. The error detection structures are developed and they not only detected subsystem errors but also corrected errors introduced in the data processing system. Concurrent parity values techniques are very useful in detecting numerical error in the data processing operations, where a single error can propagate to many output errors. This method is a new approach to concurrent error correction in fault-tolerant computing systems. In this paper we present methods for employ turbo codes into systematic forms and evaluation them with class of Convolutional codes, which is based on burst-correcting codes, and bounds on the fault tolerance redundant computations are given. The methods and analysis of the fault tolerance for the data processing systems are presented. A new technique is presented for protecting against both hard and soft errors at the data sample level using the error-detecting properties of turbo codes. The data processing system is surrounded with parallel parity defined by a turbo code. Erroneous behavior is detected by comparing externally the calculated and regenerated parity values.
Turbo codes,Fault Detection,Error correction,redundancy,Computing Systems.
http://ijim.srbiau.ac.ir/article_8549.html
http://ijim.srbiau.ac.ir/article_8549_d3ffae868c3445d098435fac58a991ce.pdf
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
8
1
2014
01
01
Three-axis optimal control of satellite attitude based on Ponteryagin maximum principle
41
48
EN
M. R.
Niknam
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
rezanik82@yahoo.com
K.
Kheiri
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
A.
Heydari
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
A long time ago, since the launch of the first artificial satellite in 1957, controling attitude of satellites has been considered by the designers and engineers of aerospace industry. Considering the importance of this issue various methods of control in response to this need have been presented and analyzed until now. In this paper, we propose and analyze a three-axis optimal control on the six-dimensional system which describes the kinetic and kinematic equations of a satellite subjected to deterministic external perturbations which induce chaotic motion. At first, the chaotic behavior of system using Lyapunov exponents (LE) and numerical simulations is investigated when no control is affected. Then, a three-axis optimal control is presented by the Pontryagin maximum principle (PMP). This optimal control stabilizes the satellite attitude around the equilibrium point of origin. Finally, we give some simulation results to visualize the effectiveness and feasibility of the proposed method.
Lyapunov exponent,Satellite attitude,Pontryagin maximum principle,Optimal control
http://ijim.srbiau.ac.ir/article_8550.html
http://ijim.srbiau.ac.ir/article_8550_4a3337c660c59b4de8d0bbe07d14a3d2.pdf
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
8
1
2014
01
01
A hybrid fuzzy multiple attribute decision making approach for identification and ranking influencing factors on Bullwhip Effect in supply chain: real case of Steel industry
49
63
EN
N.
Pilevari
Department of Industrial Management, College of Management and Accounting, Yadegar-e-Imam Khomeini (RAH) Branch, Islamic Azad University, Tehran, Iran.
pilevari@iausr.ac.ir
M.
Hasanzade
Department of Management and Economies, Science and Research Branch, Islamic Azad University, Tehran, Iran.
M.
Shahriari
Department of Management, Islamic Azad University UAE Branch, Dubai, UAE.
Bullwhip effect phenomenon is what reduces the efficiency of the supply chain. The effect occurs when demand changes in the supply chain face with a lot of volatility. So far, several key factors have been identified as causes of this phenomenon. Since the steel industry, is the basic one, its efficiency is of great importance. Therefore, in this study influencing factors on Bullwhip Effect in the industry will be identified and ranked so that by identifying the most important factors in its creation, proper decisions can be made to deal with this costly phenomenon. This study aims to review several reasons of the effect, identified by various authors. Then its impacts on the steel industry supply chain are mentioned. With views of experts from the steel industry, among the factors identified in the occurrence of the Bullwhip effect, by applying fuzzy Delphi method in the industry the most important ones are identified. The factors in previous phase, in the structure of SCOR model, are matched with the processes of this model then, ultimately, prioritized in order of importance with FANP method in aspect of SCOR criteria by the experts of the steel industry.
Bullwhip Effect,Fuzzy ANP,SCOR,Steel Industry,Supply Chain
http://ijim.srbiau.ac.ir/article_8551.html
http://ijim.srbiau.ac.ir/article_8551_217ba52b209f13d613cb726f66132c05.pdf
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
8
1
2014
01
01
Variance analysis of control variate technique and applications in Asian option pricing
65
71
EN
B.
Fathi Vajargah
Department of Statistics, Faculty of Mathematical Science, University of Guilan, Rasht, Iran.
behrouz.fathi@gmail.com
A.
Salimipour
Department of Applied Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht, Iran.
S.
Salahshour
Young Researchers and Elite Club, Mobarakeh Branch, Islamic Azad University, Iran.
This paper presents an analytical view of variance reduction by control variate technique for pricing arithmetic Asian options as a financial derivatives. In this paper, the effect of correlation between two random variables is shown. We propose an efficient method for choose suitable control in pricing arithmetic Asian options based on the control variates (CV). The numerical experiment shows the productivity of the proposed method.
Monte Carlo simulation,Arithmetic Asian options,Variance reduction technique,Control variates,correlation
http://ijim.srbiau.ac.ir/article_8553.html
http://ijim.srbiau.ac.ir/article_8553_d6d8dd02ed3da555bfd5f9efd272e30e.pdf
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
8
1
2016
01
01
Solution of fuzzy differential equations
73
80
EN
M.
Otadi
Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran.
mahmoodotadi@yahoo.com
M.
Mosleh
Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran.
Hybrid system is a dynamic system that exhibits both continuous and discrete dynamic behavior. The hybrid differential equations have a wide range of applications in science and engineering. The hybrid systems are devoted to modeling, design, and validation of interactive systems of computer programs and continuous systems. Hybrid fuzzy differential equations (HFDEs) is considered by Kim et al. [11]. In the present paper it is shown that the example presented by Kim et al. in the Case I is not very accurate and in the Case II, is incorrect. Namely, the exact solution proposed by the authors in the Case II are not solutions of the given HFDE. The correct exact solution is also presented here, together with some results for characterizing solutions of FDEs under Hukuhara differentiability by an equivalent system of ODEs. Then, the homotopy analysis method (HAM) is applied to obtained the series solution of the HFDEs. Finally, we illustrate our approach by a numerical example.
Fuzzy Differential Equations,Homotopy analysis method,Approximate solution
http://ijim.srbiau.ac.ir/article_8555.html
http://ijim.srbiau.ac.ir/article_8555_87934666fa2bb26cc9f753e57e9059a7.pdf
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
8
1
2016
01
01
Numerical solution of general nonlinear Fredholm-Volterra integral equations using Chebyshev approximation
81
86
EN
F.
Fattahzadeh
Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran.
far-fattahzadeh@iauctb.ac.ir
A numerical method for solving nonlinear Fredholm-Volterra integral equations of general type is presented. This method is based on replacement of unknown function by truncated series of well known Chebyshev expansion of functions. The quadrature formulas which we use to calculate integral terms have been imated by Fast Fourier Transform (FFT). This is a grate advantage of this method which has lowest operation count in contrast to other early methods which use operational matrices (with huge number of operations) or involve intermediate numerical techniques for evaluating intermediate integrals which presented in integral equation or solve special case of nonlinear integral equations. Also rate of convergence are given. The numerical examples show the applicability and accuracy of the method.
Nonlinear Fredholm-Volterra integral equation,Chebyshev polynomials,Error analysis,Fast Fourier Transform.
http://ijim.srbiau.ac.ir/article_8591.html
http://ijim.srbiau.ac.ir/article_8591_d9bc4ecf4504cd72aab4c28f9a95a04f.pdf
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
8
1
2016
01
01
A nonlinear model for common weights set identification in network Data Envelopment Analysis
87
98
EN
J.
Pourmahmoud
Department of Applied Mathematics, Azarbaijan Shahid madani University, Tabriz, Iran.
pourmahmoud@azaruniv.ac.ir
Z.
Zeynali
Department of Applied Mathematics, Azarbaijan Shahid madani University, Tabriz, Iran.
In the Data Envelopment Analysis (DEA) the efficiency of the units can be obtained by identifying the degree of the importance of the criteria (inputs-outputs).In DEA basic models, challenges are zero and unequal weights of the criteria when decision- making units are evaluated. One of the strategies applied to deal with these problems is using common weights of the each input/output in all decision making units (DMUs). In practice the DMUs are containing intermediate process. However, these units are considered as a black box in DEA basic models, disregarding internal process. This was the main reason network data envelopment analysis was introduced. On the other hand, similar challenges mentioned for DEA, zero and unequal weights of the criteria, exist for network structures as well. This paper suggests a common set of the weights for network structures to deal with the above problems using nonlinear models, for general case. Also some numerical examples using proposed models are presented.
Network Data Envelopment Analysis (NDEA),Decision Making Units (DMU),Efficiency,Epsilon,Assurance Value
http://ijim.srbiau.ac.ir/article_8593.html
http://ijim.srbiau.ac.ir/article_8593_95e57ba62365bcce472bd5294c421cdc.pdf