2014
6
3
3
0
Evaluation and ranking of suppliers with fuzzy DEA and PROMETHEE approach
2
2
Supplier selection is a multiCriteria problem. This study proposes a hybrid model for supporting the suppliers’ selection and ranking. This research is a twostage model designed to fully rank the suppliers where each supplier has multiple Inputs and Outputs. First, the supplier evaluation problem is formulated by Data Envelopment Analysis (DEA), since the regarded decision deals with uncertainly and ambiguity of data as well as experts and manager linguistic judgment the proposed model is equipped with Fuzzy approach, then in this research we use of Fuzzy DEA for first stage. In the second stage, efficient suppliers are ranked with Preference Ranking Organization Method for Enrichment Evaluation (PROMETHEE) model. Fuzzy DEA PROMETHEE ranking does not replace the DEA classification model; rather it furthers the analysis by providing full ranking in DEA context for efficient suppliers.
1

189
197


R.
Radfar
Department of Industrial Management, Science and Research Branch, Islamic Azad University, Tehran, Iran
Department of Industrial Management, Science
Iran
r.radfar@srbiau.ac.ir


F.
Salahi
Department of Industrial Management, Science and Research Branch, Islamic Azad University, Tehran, Iran
Department of Industrial Management, Science
Iran
supplier selection
Data envelopment analysis
Fuzzy
Efficient
multicriteria
Preference Ranking Organization Method for Enrichment Evaluation
Magnetic fluid lubrication of porous pivoted slider bearing with slip and squeeze velocity
2
2
In this paper the problem on “Magnetic fluid lubrication of porouspivoted slider bearing with slip velocity by N Ahmad et.al.[7]” has been recapitulated using Jenkin’s model [4] with the additional effect of squeeze velocity of the above plate. It is found that while discussing the above problem, [7] has stated but ignored the term , where +, in their study (Refer equation(2.2)). This paper reconsiders the above neglected term with , where . Since is the corotational derivative of magnetization vector, so it has an impact on the performance of the problem [9]. With the addition of the above term and under an oblique magnetic field, it is found that the dimensionless load carrying capacity can be improved substantially with and without squeeze effect. The paper also studied in detail about the effects of squeeze velocity and sliding velocity. It is observed that dimensionless load carrying capacity increases when squeeze velocity increases and sliding velocity decreases.
1

199
206


Rajesh C.
Shah
Department of Applied Mathematics, Faculty of Technology and Engineering,
The M. S. University of Baroda, Vadodara 390 001, Gujarat State, India.
Department of Applied Mathematics, Faculty
Iran
dr_rcshah@yahoo.com


Dilip B.
Patel
Department of Mathematics,
Sankalchand Patel College of Engineering, Visnagar 384 315, Gujarat State, India.
Department of Mathematics,
Sankalchand Patel
Iran
Magnetic fluid
Slider bearing
Slip velocity
Squeeze velocity
Jenkin’s model
Variational iteration method for solving nthorder fuzzy integrodifferential equations
2
2
In this paper, the variational iteration method for solving nthorder fuzzy integro differential equations (nthFIDE) is proposed. In fact the problem is changed to the system of ordinary fuzzy integrodifferential equations and then fuzzy solution of nthFIDE is obtained. Some examples show the efficiency of the proposed method.
1

207
214


O.
Sedaghatfar
Department of Mathematics, Shahrerey Branch, Islamic Azad University, ShahreRey, Iran.
Department of Mathematics, Shahrerey Branch,
Iran
sedaghatfar@yahoo.com


S.
Moloudzadeh
Department of Mathematics, Faculty of Science, University of Duhok, Kurdistan Region, Duhok, Iraq
Department of Mathematics, Faculty of Science,
Iran


P.
Darabi
Department of Mathematics, Borujerd Branch, Islamic Azad University, Borujerd, Iran
Department of Mathematics, Borujerd Branch,
Iran
Variational iteration method
nthorder fuzzy integrodifferential equations (nthFIDE)
The system of ordinary fuzzy integrodifferential equations
A multiproduct vehicle routing scheduling model with time window constraints for cross docking system under uncertainty: A fuzzy possibilisticstochastic programming
2
2
Mathematical modeling of supply chain operations has proven to be one of the most complex tasks in the field of operations management and operations research. Despite the abundance of several modeling proposals in the literature; for vast majority of them, no effective universal application is conceived. This issue renders the proposed mathematical models inapplicable due largely to the fact that reallife supply chain problems are set forth in restrained terms or represented less strikingly than they would bear out. This paper is triggered to bridge this gap by proposing a universal mixed integer linear programming (MILP) framework which to large extent simulates many realistic considerations in vehicle routing scheduling problems in crossdocking systems which might have separately been attempted by other researchers. The developed model is pioneer in excogitating the vehicle routing scheduling problem with the following assumptions: a) multiple products are transported between pickup and delivery nodes, b) delivery timeintervals are imposed on each delivery node, c) multiple types of vehicles operate in the system, d) capacity constraints exists for each vehicle type, and finally e) vehicles arrives simultaneously at crossdocking location. Moreover, to solve the model a hybrid solution methodology is presented by combining fuzzy possibilistic programming and stochastic programming. Finally, in order to demonstrate the accuracy and efficiency of the proposed model, an extensive sensitivity analysis is performed to scrutinize its parameters’ demeanors.
1

215
228


B.
Vahdani
Young Researchers and Elite Club, Qazvin Branch, Islamic Azad University, Qazvin, Iran
Young Researchers and Elite Club, Qazvin
Iran
b.vahdani@gmail.com


SH.
Sadigh Behzadi
Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran
Department of Mathematics, Islamic Azad University
Iran
Cross docking
Vehicle routing scheduling
Fuzzy possibilistic programming
stochastic programming
The embedding method to obtain the solution of fuzzy linear systems
2
2
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.
1

229
233


T.
Allahviranloo
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Department of Mathematics, Science and Research
Iran
allahviranloo@yahoo.com


A.
Hashemi
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Department of Mathematics, Science and Research
Iran
Fuzzy linear system
Embedding method
Fuzzy numbers
The RitzGalerkin method for MHD Couette flow of nonNewtonian fluid
2
2
In this paper, the RitzGalerkin method in Bernstein polynomial basis is applied for solving the nonlinear problem of the magnetohydrodynamic (MHD) flow of third grade fluid between the two plates. The properties of the Bernstein polynomials together with the RitzGalerkin method are used to reduce the solution of the MHD Couette flow of nonNewtonian fluid in a porous medium to the solution of algebraic equations.
1

235
243


Z.
Barikbin
Department of Mathematics, Imam Khomeini International University, Ghazvin, 34149, Iran
Department of Mathematics, Imam Khomeini
Iran
monabarikbin@gmail.com


R.
Ellahi
Department of Mathematics & Statistics, Faculty of Basic and Applied Sciences,
International Islamic University, Islamabad, Pakistan
Department of Mathematics & Statistics,
Iran


S.
Abbasbandy
Department of Mathematics, Imam Khomeini International University, Ghazvin, 34149, Iran
Department of Mathematics, Imam Khomeini
Iran
abbasbandy@yahoo.com
RitzGalerkin method
Bernstein polynomials
Satisfier function
MHD
An improved approach for ranking the candidates in a voting system based on efficiency intervals
2
2
This paper proposes improvements and revisions to a recent approach in a voting system, and provides an effective approach with a stronger discriminate power. For this purpose, the advantage of a linear transformation is utilized to redene a previously used concept of virtual worst candidate, by incorporating the existing weight restrictions. Then, the best score of this virtual candidate is used as a lower bound for the scores of the candidates in the models. It is shown that the proposed approach overcomes some drawbacks in the existing models. The approach determines interval eciencies which can be used in ranking the candidates. Numerical examples illustrate some advantages of the proposed approach.
1

245
254


A. A.
Foroughi
Department of Mathematics, University of Qom, Isfahan old road, Qom, 3716146611, Iran.
Department of Mathematics, University of
Iran
aforoughi@qom.ac.ir
Data envelopment analysis
Voting
ranking
Interval efficiency
The least relative total score
The study of the effective factors on investment in private sector in Iran “With emphasis on uncertainty”
2
2
Making capital and investment is the main driving forces of economic development. Based on the investment sensitivity to the changes of some of macroeconomic variables and risk and uncertainty, the present study evaluated the effective factors on investment in private sector in Iran during 19802007. At first, the uncertainty variables of real informal exchange rate, nominal interest rate and inflation rate were calculated by GARCH model. Then, by ARDL model, the effect of calculated uncertainty indices besides the main values of the variables and some of the other control variables on investment in private sector in Iran was investigated. The estimation results showed the negative uncertainty effect of the real exchange rate, inflation rate and nominal interest rate on investment in private sector in shortterm and longterm. Also, the gross domestic production and inflation rate had significant and positive and negative effect, respectively on investment in private sector in Iran. In this model, there was no relationship between the size of civil expenditures of the government and real exchange rate with the private sector investment in our country. The error correction term coefficient showed that moderation to balance is done during more than 3 years.
1

255
264


Z.
Rozeei
Department of Economics, Islamic Azad University, West Azerbaijan, Science and Research Branch, Iran
Department of Economics, Islamic Azad University,
Iran


T.
Akhondzadeh
Department of Economics, Urmia Branch, Islamic Azad University, Orumieh Iran
Department of Economics, Urmia Branch, Islamic
Iran
tahereh.akhoondzadeh@gmail.com


G.
Sameei
Department of Economics, Urmia Branch, Islamic Azad University, Orumieh Iran
Department of Economics, Urmia Branch, Islamic
Iran
Investment in private sector
Uncertainty of real exchange rate
Uncertainty of nominal interest rate
uncertainty of inflation rate
GARCH
ARDL