Sensitivity Analysis for Fuzzy Linear Programming Problem by Mehar Method
DOI:
https://doi.org/10.31272/jae.i143.1190Keywords:
Fuzzy Numbers, Fuzzy Set, Fuzzy Linear Programming Problems, Ranking Function, Sensitivity Analysis .Abstract
Numerous manufacturing companies face significant financial setbacks due to excessive raw material costs, low profits, and no taxes on imported goods. The production companies also suffer from uncertainty concerning expenses, production levels, sales figures, and the accessibility of raw materials. Therefore, in our study, we developed an innovative method to design a fuzzy linear programming model customised for the Doura Refinery of the Middle Refineries Company. We emphasised five essential products: white oil, naphtha, light puffs, heavy Jet, and liquid gas. The main goal of our approach was to achieve optimal decision-making by identifying the most favourable production quantities and evaluating the corresponding net income derived from product sales. Following the Mehar method, we employed a methodology that converts the fuzzy linear programming problem into a standard linear programming problem. Subsequently, we conducted a sensitivity analysis, focusing only on the impact of fuzzy cost changes, and successfully derived optimal solutions for this case. Therefore, we aim to resolve the challenges of fuzzy linear programming and explore how
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References
G. Uthra and R Sattanathan, (2009) “Confidence Analysis for Fuzzy Multi Criteria Ecision Making Using Trapezoidal Fuzzy Numbers”, International Journal of Information Technology, pp. 333-336.
H.R. Maleki, (2002) “Ranking Functions and Their Applications to Fuzzy Linear Programming”, FJMS, Vol.4, pp.283-301.
J.K. George and Bo Yuan, (1995), “Fuzzy sets and fuzzy logic, theory and applications.
Karyati, D.U. Wutsqa and N. Insani, (2018)“Yager’s Ranking Method for Solving the Trapezoidal Fuzzy Number Linear Programming”, ICMSE, Journal of Physics: Conf. Series, pp.7. DOI: https://doi.org/10.1088/1742-6596/983/1/012135
K. J. Rostam and S.S. Haydar, (2022) “Making the optimal decision for production by using the fuzzy linear programming method”, Measurement Sensors, Vol. 24. DOI: https://doi.org/10.1016/j.measen.2022.100559
K.J. Rostam and S.S. Haydar, (2023)“Optimal Production Decision Making by using Artificial Neural Networks and Fuzzy Linear Programming”, Al-Iraqia University Refereed Journal, Vol. 57.
K.M.J. Rashid and S.S. Haydar, (2014)“Use Fuzzy Midrange Transformation Method to Construction Fuzzy Control Charts limits”, International Journal of Computer Science and Security (IJCSS), Vol. 6, Issue (1).
Kumar and P. Singh, (2012) “A new method for solving fully fuzzy linear programming problems, Annals of fuzzy mathematics and Informatics”, vol. 3, No.1, pp:103–118.
P. Vasant and N. N.Barsoum, (2006) “Fuzzy optimization of unit’s products in mix-product selection problem using fuzzy linear programming approach”, Soft Computing, pp.144-151. DOI: https://doi.org/10.1007/s00500-004-0437-9
R.J. Mitlif and F.A. Sadiq, (2021) “Finding the Critical Path Method for Fuzzy Network with Development Ranking Function”, Journal of Al-Qadisiyah for Computer Science and Mathematics, Vol. 13(3), pp.98-106. DOI: https://doi.org/10.29304/jqcm.2021.13.3.850
S. K. Sidhu, A.Kumar, and S. S.Appadoo, (2014) “Mehar Methods for Fuzzy Optimal Solution and Sensitivity Analysis of Fuzzy Linear Programming with Symmetric Trapezoidal Fuzzy Numbers”, Hindawi Publishing Corporation Mathematical Problems in Engineering. DOI: https://doi.org/10.1155/2014/697085
V.R. Reddy, V.V. Reddy and V.C. Jaganmohan, (2018)“Fuzzy Logic Controller (FLC) Implementation for Space Vector Pulse Width Modulated Induction Motor Drive”, International Journal of Creative Research Thoughts (IJCRT), Vol.6, Issue (2), pp. 916-926.
Z. S. Towfik and S. F. Jawad, (2010)“Proposed method for optimizing fuzzy linear programming problems by using Two-phase technique”, 1st International Conference on Energy, Power and Control (EPC-IQ) (pp. 89-96). IEEE. DOI: https://doi.org/10.37917/ijeee.6.2.2
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