@article{ author = {Raoofian, A. and Azar, A. and KhodadadHoseini, H.}, title = {Using Linear Physical Programming in Optimizing Fuzzy Quality Function Deployment}, abstract ={Quality function deployment (QFD) is a customer-driven quality management and product development system for achieving higher customer satisfaction. It is necessary to determine relationships between customer requirements (CRs) and technical requirements (TRs), as well as correlation among the TRs themselves. Such data are usually ambiguous and fuzzy and people have different judgments about these relations. In this research, to cope with the vague nature of the product development process, a fuzzy group decision-making approach in QFD has been suggested. Also an integrated framework based on QFD and linear physical programming is proposed to determine the fulfillment level of TRs and to maximize overall customer satisfaction. At last, an application for a specific product in ESFARAYEN INSUSTERIAL COMPLEX, which produces heavy steel parts, is presented to illustrate the proposed approach. The results of the model show the optimal level of each technical requirement as well as the allocated budget to each of them so that customer satisfaction of the manufactured product based on four customer requirements has been within ideal and desirable ranges.}, Keywords = {Quality Function Deployment, House of Quality, Fuzzy Expected Value Operator, Linear Physical Programming, Fuzzy Triangular Numbers}, volume = {17}, Number = {1}, pages = {1-23}, publisher = {دانشگاه آزاد اسلامی واحد لاهیجان }, url = {http://jamlu.liau.ac.ir/article-1-1863-en.html}, eprint = {http://jamlu.liau.ac.ir/article-1-1863-en.pdf}, journal = {Journal of Operational Research In Its Applications ( Applied Mathematics ) - Lahijan Azad University}, issn = {2251-7286}, eissn = {2251-9807}, year = {2020} } @article{ author = {Khajeh, M. and Amiri, M. and Olfat, L. and Zandieh, M.}, title = {Assessing and Selecting Sustainable Suppliers in Intuitionistic Fuzzy Set with Hybrid Multi-Criteria Best-Worst and VIKOR Approach}, abstract ={A sustainable supply of raw materials has a concern for manufacturing companies. Due to the increase of environmental and social awareness, selecting a sustainable supplier has been one of the priorities of organizations. The ambiguity and uncertainty in decision making have led to the application of decision-making methods in uncertainty situations. The present study intends to use a fuzzy multi-criteria hybrid approach to provide a decision model for evaluating and selecting sustainable suppliers. For this purpose, in the first step, by reviewing previous researches, effective indicators of selecting sustainable suppliers have been considered then using Fuzzy Delphi method, the indicators were screened from the viewpoint of experts. In the next step, with the help of the intuitionistic fuzzy best worst method, the weight of each indicator was extracted. In the following, the intuitionistic fuzzy VIKOR approach was used to evaluate existing suppliers. In order to verify the capability of the proposed model, a real study was conducted in the lead-acid batteries production industry. Finally, by analyzing the sensitivity and comparing the results of the model with the intuitionistic fuzzy TOPSIS approach, the efficiency of the proposed approach was evaluated.}, Keywords = {Sustainable Supplier, intuitionistic fuzzy sets, Fuzzy Delphi, Best Worst Method, VIKOR}, volume = {17}, Number = {1}, pages = {25-48}, publisher = {دانشگاه آزاد اسلامی واحد لاهیجان }, url = {http://jamlu.liau.ac.ir/article-1-1788-en.html}, eprint = {http://jamlu.liau.ac.ir/article-1-1788-en.pdf}, journal = {Journal of Operational Research In Its Applications ( Applied Mathematics ) - Lahijan Azad University}, issn = {2251-7286}, eissn = {2251-9807}, year = {2020} } @article{ author = {GhorbaniHormazdabadii, M. and MishmastNehi, H. and Allahdadi, M.}, title = {Determining the Optimal Value Bounds of the Objective Function in Interval Quadratic Programming Problem with Unrestricted Variables in Sign}, abstract ={In the most real-world applications, the parameters of the problem are not well understood. This is caused the problem data to be uncertain and indicated with intervals. Interval mathematical models include interval linear programming and interval nonlinear programming problems.A model of interval nonlinear programming problems for decision making based on uncertainty is interval quadratic programming. These types of problems, in which the parameters are inaccurately expressed, are widely used in various sciences, including inventory management, economics, stock selection, engineering design, and molecular study. Interval parameters in these optimization problems cause the value of the objective function to be inaccurate and interval. There are several methods to compute the optimal bounds of the objective function for interval quadratic programming problems. This article examines the most difficult type of interval quadratic programming problems that includes unrestricted decision variables in sign, and provides a new method for determining the bounds of its objective function. In this method, by solving sub-models that include nonnegative variables, the optimal value bounds of the objective function are obtained.}, Keywords = {Interval Matrix, Interval Quadratic Programming Problem, the Bounds of Objective Function, Unrestricted Decision Variables in Sign}, volume = {17}, Number = {1}, pages = {49-65}, publisher = {دانشگاه آزاد اسلامی واحد لاهیجان }, url = {http://jamlu.liau.ac.ir/article-1-1535-en.html}, eprint = {http://jamlu.liau.ac.ir/article-1-1535-en.pdf}, journal = {Journal of Operational Research In Its Applications ( Applied Mathematics ) - Lahijan Azad University}, issn = {2251-7286}, eissn = {2251-9807}, year = {2020} } @article{ author = {Ashrafi, A. and Amiri, M.}, title = {Ranking Efficient Decision Making Units Using Cooperative Game Theory Based on SBM Input-Oriented Model and Nucleolus Value}, abstract ={In evaluating the efficiency of decision making units (DMUs) by Data Envelopment Analysis (DEA) models, may be more than one DMU has an efficiency score equal to one. Since ranking of efficient DMUs is essential for decision makers, therefore, methods and models for this purpose are presented. One of ranking methods of efficient DMUs is cooperative game theory. In this study, Lee and Lozano models are used, which are a combination of DEA and game theory. Also, the SBM input-oriented model and the solution concept of the nucleolus value are used to rank the efficient decision making units.}, Keywords = {Data Envelopment Analysis (DEA), Decision Making Unit (DMU), Cooperative Game, Ranking Efficient DMUs, Nucleolus Value}, volume = {17}, Number = {1}, pages = {67-83}, publisher = {دانشگاه آزاد اسلامی واحد لاهیجان }, url = {http://jamlu.liau.ac.ir/article-1-1692-en.html}, eprint = {http://jamlu.liau.ac.ir/article-1-1692-en.pdf}, journal = {Journal of Operational Research In Its Applications ( Applied Mathematics ) - Lahijan Azad University}, issn = {2251-7286}, eissn = {2251-9807}, year = {2020} } @article{ author = {SaeidianTarei, Z. and Arzani, F.}, title = {Solving the Unconstrained Optimization Problems Using the Combination of Nonmonotone Trust Region Algorithm and Filter Technique}, abstract ={In this paper, we propose a new nonmonotone adaptive trust region method for solving unconstrained optimization problems that is equipped with the filter technique. In the proposed method, the various nonmonotone technique is used. Using this technique, the algorithm can advantage from nonmonotone properties and it can increase the rate of solving the problems. Also, the filter that is used in this method is the kind of finite filter. It is proofed due to the filter structure. The construction of the algorithm is based on the two interior and exterior cycles that both of them do the specified operations based on the available conditions. In the iteration of our algorithm, we use a simple subproblem for finding the trial step and we imply the corrected form of Secant condition for approximating the Hessian matrix in order to save the positive definite property of Hessian matrix. Also, the global convergence of the algorithm is established under some standard properties. Furthermore, the numerical results on some test problems show the efficiency and effectiveness of the new algorithm in comparison to some other algorithms.}, Keywords = {The trust region methods, The adaptive and nonmonotone methods, The filter technique, Global convergence}, volume = {17}, Number = {1}, pages = {85-101}, publisher = {دانشگاه آزاد اسلامی واحد لاهیجان }, url = {http://jamlu.liau.ac.ir/article-1-1822-en.html}, eprint = {http://jamlu.liau.ac.ir/article-1-1822-en.pdf}, journal = {Journal of Operational Research In Its Applications ( Applied Mathematics ) - Lahijan Azad University}, issn = {2251-7286}, eissn = {2251-9807}, year = {2020} } @article{ author = {Azizi, H. and Hosseinzadeh, H.}, title = {Ranking Decision-Making Units Using Double-Frontier Analysis ‎Approach}, abstract ={Data envelopment analysis is a nonparametric method for measuring the performance of a set of decision-making units (DMUs) that consume multiple inputs to produce multiple outputs. Using this approach, the performance of DMUs is measured from both optimistic and pessimistic views. However, their results are very misleading and even contradictory in many cases. Indisputably, different performance measures should be combined for an overall assessment of the performance of each DMU. This is known as double-frontier analysis. This article proposes a power-averaged efficiency measure to evaluate the overall performance of each DMU. The power-averaged efficiency combines both optimistic and pessimistic efficiencies of each DMU, ​​and therefore, is more comprehensive than both measures. The results showed the higher differentiation capability of the power-averaged efficiency than both optimistic and pessimistic efficiency measures. The efficiency of the proposed power-averaged efficiency was demonstrated through a numerical example on evaluation of the performance of 42 departments in one of the Islamic Azad University branches to reveal its capabilities in real life situations.}, Keywords = {Data Envelopment Analysis, Ranking, Optimistic and Pessimistic Efficiencies, Overall ‎Performance}, volume = {17}, Number = {1}, pages = {103-118}, publisher = {دانشگاه آزاد اسلامی واحد لاهیجان }, url = {http://jamlu.liau.ac.ir/article-1-1779-en.html}, eprint = {http://jamlu.liau.ac.ir/article-1-1779-en.pdf}, journal = {Journal of Operational Research In Its Applications ( Applied Mathematics ) - Lahijan Azad University}, issn = {2251-7286}, eissn = {2251-9807}, year = {2020} } @article{ author = {Payan, A. and RahmaniPerchikolaei, B.}, title = {Expansionary-contradictory Policies in Stock Companies Using Left and Right Returns to Scales in Data Envelopment Analysis Models}, abstract ={The purpose of this paper is to evaluate the returns to scale of the Tehran Stock Exchange based on new models in data envelopment analysis. Using this assessment, it is possible to judge the application of contradictory or expansion policies in stock companies. To this end, there is a need for models in the data envelopment analysis that can assess the left and right returns to scales of the decision making units. In this paper, two linear programming models were presented for assessing performance and left and right returns to scales in data envelopment analysis. The main advantage of the method is the linearity of both models, while the previous models were infeasible, non-linear or parametric to determine left and right returns to scales. Also, analysis the left returns to scale can be done by solving a linear programming problem (LP), and right returns to scale can be analyzed with another LP. The results of determining left and right returns to scales of Tehran Stock Exchange companies in 1395 show that the models are easily applicable to analyze the contraction and expansion policies in stock companies.}, Keywords = {Performance Analysis, Linear Programming, Returns to Scale, Tehran Stock Exchange Companies.}, volume = {17}, Number = {1}, pages = {119-137}, publisher = {دانشگاه آزاد اسلامی واحد لاهیجان }, url = {http://jamlu.liau.ac.ir/article-1-1750-en.html}, eprint = {http://jamlu.liau.ac.ir/article-1-1750-en.pdf}, journal = {Journal of Operational Research In Its Applications ( Applied Mathematics ) - Lahijan Azad University}, issn = {2251-7286}, eissn = {2251-9807}, year = {2020} } @article{ author = {Ramzannia-Keshteli, G.A. and Nasseri, H.}, title = {Flexible Fuzzy Revised Multi-Choice Goal Programming problem}, abstract ={Goal linear programming(GP) is one of the important techniques for solving multi-objective linear programming (MOLP) problems so that for every objective aspiration level is considered by the decision maker. A special kind of GP problem is the multi-choice goal programming, where some aspiration level is considered for the targets. The multi-choice goal programming the first time was presented by chang.T.C in the year 2007. Then in 2008 change expired another kind of multi choice goal programming entitled, the revised multi-choice goal programming where its goal aspersion levels are a closed interval. The first paper of the fuzzy multi-choice goal programming was introduced by the Bankian et al. in the year 2012, which uses triangular fuzzy number as the aspiration level. In this paper, we are going to present two new models of the flexible fuzzy multi-choice goal programming :1) revised multi-choice goal programming with flexible fuzzy constraints and 2) revised multi-choice goal programming with flexible fuzzy objective functions. For both models, we propose a new approach for solving them based on a multi-parametric linear goal programming and minimum degree membership technique. Finally, we illustrate our approach by solving some numerical examples.}, Keywords = {Multi-Objective Linear Programming, Multi-Choice Goal Linear Programming, Multi-Parametric Linear Goal Programming, Flexible Fuzzy Goals, Aspiration Level}, volume = {17}, Number = {1}, pages = {139-155}, publisher = {دانشگاه آزاد اسلامی واحد لاهیجان }, url = {http://jamlu.liau.ac.ir/article-1-1710-en.html}, eprint = {http://jamlu.liau.ac.ir/article-1-1710-en.pdf}, journal = {Journal of Operational Research In Its Applications ( Applied Mathematics ) - Lahijan Azad University}, issn = {2251-7286}, eissn = {2251-9807}, year = {2020} }