Iranian Journal of Optimization: 5 (2)

Open Access Article

1 - A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming
س.ح ناصری ا. دربان جعفری ر. چمه

Many ranking methods have been proposed so far. However, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ra More

Many ranking methods have been proposed so far. However, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation. For overcoming the above problems, we propose a new method for ranking fuzzy quantities based on the distance method. Then, an application of using fuzzy ordering in the fuzzy mathematical programming as well as fuzzy primal simplex algorithm is indicated. In particular, we emphasize that the fuzzy ordering will be useful when a decision maker needs to evaluate the optimality condition in any solving process. Manuscript profile

Open Access Article

2 - Supplier selection among alternative scenarios by Data envelopment analysis
محسن واعظ قاسمی

A considerable problem in competitive trade world is choosing the best supply chain. As a result in much more serious circumstances of competitions looking for the best supplier for manufacturing, for preparing raw material, is very significant. Meantime suppliers have More

A considerable problem in competitive trade world is choosing the best supply chain. As a result in much more serious circumstances of competitions looking for the best supplier for manufacturing, for preparing raw material, is very significant. Meantime suppliers have different scenarios to be fulfilled, such as changing selection variables like lead-time, transportation cost and transportation path. In this paper a mathematical model using Data Envelopment Analysis (DEA) technique and binary algorithm for selecting suppliers with different scenarios is used which can evaluate suppliers with variable preferences and replacement for other suppliers.A considerable problem in competitive trade world is choosing the best supply chain. As a result in much more serious circumstances of competitions looking for the best supplier for manufacturing, for preparing raw material, is very significant. Meantime suppliers have different scenarios to be fulfilled, such as changing selection variables like lead-time, transportation cost and transportation path. In this paper a mathematical model using Data Envelopment Analysis (DEA) technique and binary algorithm for selecting suppliers with different scenarios is used which can evaluate suppliers with variable preferences and replacement for other suppliers. Manuscript profile

Open Access Article

3 - A numerical approach for optimal control model of the convex semi-infinite programming
حمید روح پرور

In this paper, convex semi-infinite programmingis converted to an optimal control model of neural networks and the optimal control model issolved by iterative dynamicprogramming method. In final, numerical examples are provided forillustration of the purposed method.

In this paper, convex semi-infinite programmingis converted to an optimal control model of neural networks and the optimal control model issolved by iterative dynamicprogramming method. In final, numerical examples are provided forillustration of the purposed method. Manuscript profile

Open Access Article

4 - A hybrid BSC-DEMATEL- FIS approach for performance measurement in Food Industry
شبنم جلالت مهدی فدایی مهدی همایونفر

Organizational performance is a complex issue given that performance is a multifaceted phenomenon whose components may have distinct managerial priorities and may even be mutually inconsistent. Recently, the balanced scorecard approach (BSC), as an effective multi-crite More

Organizational performance is a complex issue given that performance is a multifaceted phenomenon whose components may have distinct managerial priorities and may even be mutually inconsistent. Recently, the balanced scorecard approach (BSC), as an effective multi-criteria evaluation concept received much attention in organizational performance measurement. Although the BSC conceptual framework has been widely accepted in the business community, the proper method of implementing the framework remains an issue. Hence, this study has developed a hybrid expert system composition of BSC, Decision Making Trial and Evaluation Laboratory (DEMATEL) and fuzzy inference system (FIS) to evaluate the food producing companies. To this aim, this paper applied a graph theory based technique (DEMATEL) to determine critical criteria of BSC’s perspectives. The results show that “Profit”, “Customer satisfaction”, “Customer communication”, “Innovation management” and “Organizational asset management”, are of more importance in performance evaluation. In the next step, these criteria shape a fuzzy rule based inference system with linguistic variables and the membership functions are adjusted by experts. The results of proposed approach in food industry of Guilan province, Iran, show its applicability for evaluating the food companies. Manuscript profile

Open Access Article

5 - Alternative ranking method in Dynamic Data Envelopment Analysis (DDEA)
مهناز مقبولی امید یعقوبی اگره زهرا محمدزاده

The motivation of this paper is to propose such equitable method for ranking all decision making units (DMUs) in dynamic Data Envelopment Analysis (DDEA) framework. As far as we are aware there is not more studies in dynamic DEA literature. What's more, in such cases th More

The motivation of this paper is to propose such equitable method for ranking all decision making units (DMUs) in dynamic Data Envelopment Analysis (DDEA) framework. As far as we are aware there is not more studies in dynamic DEA literature. What's more, in such cases the best operating unit is important to be sampled for the others in under evaluated time periods. However, in this special concept of DEA, quasi-fixed inputs or intermediate products are the source of inter temporal dependence between consecutive periods. Hence, in order to have suitable ranking for units operating in dynamic environment the minimum and maximum efficiency values of each DMU in dynamic state are computed. Also, we assume that the sum of efficiency values of all DMUs in dynamic state is equal to unity. Thereafter, the rank of each DMU is determined through the combination of its maximum and minimum efficiency values. A real case of Iranian gas companies highlights the applicability of the proposed method in Dynamic framework. Manuscript profile

Open Access Article

6 - Sensitivity Analysis in Two-Stage DEA
آتنا فرقانی اسماعیل نجفی

Data envelopment analysis (DEA) is a method for measuring the efficiency of peer decision making units (DMUs) which uses a set of inputs to produce a set of outputs. In some cases, DMUs have a two-stage structure, in which the first stage utilizes inputs to produce outp More

Data envelopment analysis (DEA) is a method for measuring the efficiency of peer decision making units (DMUs) which uses a set of inputs to produce a set of outputs. In some cases, DMUs have a two-stage structure, in which the first stage utilizes inputs to produce outputs used as the inputs of the second stage to produce final outputs. One important issue in two-stage DEA is the sensitivity of the results of an analysis to perturbations in the data. The current paper looks into combined model for two-stage DEA and applies the sensitivity analysis to DMUs on the entire frontier. In fact, necessary and sufficient conditions for preserving a DMU's efficiency classiffication are developed when various data changes are applied to all DMUs. Manuscript profile

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