Penyelesaian Program Linear Bilangan Fuzzy Segitiga dengan Metode Mehar
DOI:
https://doi.org/10.31004/ijmst.v1i3.177Abstract
Bilangan fuzzy segitiga ini juga diterapkan di dalam program linear fuzzy. Secara umum, bentuk program linear fuzzy serupa dengan bentuk program linear klasik (crips) yang merupakan suatu teknik dalam riset operasi untuk menentukan nilai optimum suatu persoalan linear dengan memperhatikan batasan-batasan yang ada. Program linear disebut program linear fuzzy tidak penuh karena terdapat koefisien fungsi tujuan, variabel keputusan, koefisien kendala atau koefisien ruas kanan kendala yang merupakan bilangan crips. Salah satu bentuk program linear fuzzy tidak penuh adalah program linear dengan variabel fuzzy atau Fuzzy Variable Linear Programming. Penelitian ini membahas penyelesaian program linear bilangan fuzzy segitiga yang terdapat pada kasus Home Indutry. Metode yang digunakan untuk menyelesaikan program linear bilangan fuzzy segitiga pada kasus Home Indusrty adalah metode Mehar. Metode Mehar dilakukan dengan mengkonversikan fungsi tujuan dan fungsi kendala fuzzy pada persoalan program linear fuzzy ke bentuk klasiknya (crips) berdasarkan operasi bilangan fuzzy segitiga dan operasi fungsi ranking. Penyelesaian diperoleh dengan menemukan solusi optimal dari persoalan program linear crips menggunakan metode simplex. Nilai yang diperoleh selanjutnya disubtitusi ke dalam variabel fuzzy sehingga diperoleh variabel keputusan fuzzy yang diinginkan.
References
Anton, H., & Rorres, C. (2011). Elementary Linear Algebra, 11th Ed, Wiley, New York
Canedo, B. P., & Verdegay, J. L. (2023). On the Application of a Lexicographic Method to Fuzzy Linear Programming Problems. ????Bon View Publishing:Journal of Computating and Cognitive Engeneering, 2(1), 47-56. https://doi.org/10.47852/bonviewJCCE20235142025
Deep, K., Jain, M., & Salhi, S. (2019). Performance Prediction and Analytics of Fuzzy, Reliability and Queuing Models, series editors, Springer, Indian
Dong, J., Wan, S., & Chen, S. (2021). Fuzzy best-worst method based on triangular fuzzy numbers for multi-criteria decision-making. ScienceDirect: Information Sciences, 8, 1080-1104. https://doi.org/10.1016/j.ins.2020.09.014
Djordjevic, I., Petrovic, D., & Stojic, G. (2019). A fuzzy linear programming model for aggregated production planning (APP) in the automotive industry. ScienceDirect:Computers in Industry,110, 48-63. https://doi.org/10.1016/j.compind.2019.05.004
Edalatpanah, S. A. (2020). A Direct Model for Triangular Neutro-sophic Linear Programming. ASPG: International Journal of Neutrosophic Science, 1(1), 19-28.
htpps://doi.org/10.5281/zenodo.3679499
Garcia, J. C., Hernandez, G., & Franco, C. (2022). A review on history, trends and perspectives of fuzzy linear programming. ELSEVIER, Operations Research Perspectives, 9. https://doi.org/10.1016/j.orp.2022.100247
Hillier, F. S., & Lieberman, G. J. (2001) . Lieberman, Introduction to Operations Research, 7th Ed, Mc Graw Hill, New York
Hosseinzadeh, M. (2021). A new method for solving Fully Fuzzy Linear Programming Problems using fuzzy ranking concept. Management Research in Iran, 16(4), 171-188.
https://dorl.net/dor/20.1001.1.2322200.1391.16.4.8.1
Kumar, A.,& Kaur, J. (2011). A new method for solving fuzzy linear programs with trapezoidal fuzzy numbers, International Scientific Publications and Consulting Services, 2011 (2011), 28-39. http://dx.doi.org/10.5899/2011/jfsva-00102
Mohan, S., Kannusamy, A. P., & Sidhu, S.K. (2021). Solution of intuitionistic fuzzy linear programming problem by dual simplex algorithm and sensitivity analysis, Wiley Online Library, 37(2), 852-872. https://doi.org/10.1111/coin.12435
Nasseri, S. H., & Mahmoudi, F. (2019). A New Approach to Solve Fully Fuzzy Linear Programming Problem. RJARIE:Journal of Applied Research on Industrial Engeneering, 6(2), 139-149. https://doi.org/ 10.22105/jarie.2019.183391.1090
Pratiwi, T. R., Sunarsih., & Surarso, B. (2019). Linear Programming with Fuzzy Variable Method for Solving Wastewater Treatment Plant (WWTP) Problem. IOP Publishing Ltd:Journal of Physics, Conference Series, 1217.
https://doi.org/10.1088/1742-6596/1217/1/012072
Sulaiman, M. S., Tamizi, A.A., Shamsudin. M. R. (2020). Course recommendation system using fuzzy logic approach. Indonesian Journal of Electrical Engineering and Computer Science, 17(1), 365-371.
Vanderbei, R. J. (2020). Linear Programming Foundations and Extensions, 5th Ed, Springer, Berlin
Winston, W. L. (2004). Operations Research: Applications and Algorithms, 4th Ed, Duxbury, New York
Zadeh, L. A. (1965). Fuzzy sets. ScienceDirect: Information and control, 8, 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Indonesian Journal of Multidisciplinary on Social and Technology

This work is licensed under a Creative Commons Attribution 4.0 International License.