Fuzzy sets and systems
Abouzar Sheikhi; M. J. Ebadi
Abstract
Linear fractional programming (LFP) is a powerful mathematical tool for solving optimization problems with a ratio of linear functions as the objective function. In real-world applications, the coefficients of the objective function may be uncertain or imprecise, leading to the need for interval coefficients. ...
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Linear fractional programming (LFP) is a powerful mathematical tool for solving optimization problems with a ratio of linear functions as the objective function. In real-world applications, the coefficients of the objective function may be uncertain or imprecise, leading to the need for interval coefficients. This paper presents a comprehensive study on solving linear interval fractional transportation problems with interval objective function (ILFTP) which means that the coefficients of the variables in the objective function are uncertain and lie within a given interval.We propose a novel approach that combines interval analysis and optimization techniques to handle the uncertainty in the coefficients, ensuring robust and reliable solutions.The variable transformation method used in this study is a novel approach to solving this kind of problems. By reducing the problem to a nonlinear programming problem and then transforming it into a linear programming problem, the proposed method simplifies the solution process and improves the accuracy of the results. The effectiveness of the proposed method is demonstrated through various numerical examples and comparisons with existing methods. The outcomes demonstrate that the suggested approach is capable of precisely resolving ILFTPs. Overall, the proposed method provides a valuable contribution to the field of linear fractional transportation problems. It offers a practical and efficient solution to a challenging problem and has the potential to be applied in various real-world scenarios.
Decision analysis and methods
Abdol Hamid Safaei; Faezeh Homayounzadeh
Abstract
Due to the increased attention to training and improving the training level, its evaluation requires special procedures. In this paper, a novel approach is proposed to evaluate the performance of training courses using different evaluation and rating techniques. In order to identify the criteria affecting ...
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Due to the increased attention to training and improving the training level, its evaluation requires special procedures. In this paper, a novel approach is proposed to evaluate the performance of training courses using different evaluation and rating techniques. In order to identify the criteria affecting the assessment, the Delphi hourly method is used. To determine the severity of impact and the importance of model elements, the revised method proposed by Dalalah et al was used in FDEMATEL. Using the FVIKOR technique, the in-service training courses held in Mazandaran and Golestan Regional Electricity Company were prioritized. The findings of this study indicate the high importance of universality of training materials compared to other model criteria. They also suggest that setting a short-term in-service training course yields the best training performance.