STATE-OF-THE-ART SOLUTIONS TO THE FUZZY LINEAR PROGRAMMING PROBLEM.
Keywords:
Fuzzy Linear Programming, Fuzzy Simplex Method, Heuristics Algorithms, Genetic Algorithms, Fuzzy Number Ranking Methods, Fuzzy Goal Programming, Artificial Neural Networks, Swarm Intelligence, Uncertainty, Decision-making, Artificial Intelligence, Machine Learning, Computational Power.Abstract
This article outlines the state-of-the-art solutions for solving fuzzy linear programming problems. It begins by explaining the role of fuzzy linear programming in decision-making under uncertain circumstances. The article then dives into various modern solutions such as the Fuzzy Simplex Method, Heuristics Algorithms, Genetic Algorithms, Fuzzy Number Ranking Methods, Fuzzy Goal Programming, and the use of Artificial Neural Networks (ANNs) and Swarm Intelligence (SI). These solutions have evolved to effectively cope with the complexities of fuzzy linear programming, broadening its application in various fields. The article concludes by forecasting the future of fuzzy linear programming resolution techniques, with advancements in artificial intelligence, machine learning, and computational power pointed out as having the potential to create more sophisticated systems.
References
Zakhidov D., Jurabek U. DIVISION OF SOCIAL NETWORKS INTO TWO COMMUNITIES USING THE MAXIMUM LIKELIHOOD METHOD //Horizon: Journal of Humanity and Artificial Intelligence. – 2023. – Т. 2. – №. 5. – С. 689-694.
Zakhidov D., Bektosh S. DIVISION OF HEPTAGONAL SOCIAL NETWORKS INTO TWO COMMUNITIES BY THE MAXIMUM LIKELIHOOD METHOD //Horizon: Journal of Humanity and Artificial Intelligence. – 2023. – Т. 2. – №. 5. – С. 641-645.
Zaxidov, D., & Xolmurodov, F. (2022). IJTIMOIY TARMOQLAR JAMOALARINI ANIQLASHDA MAKSIMAL HAQIQATGA O’XSHASHLIK METODINI QO‘LLASH. Евразийский журнал математической теории и компьютерных наук, 2(6), 29–33. извлечено от https://www.in-academy.uz/index.php/EJMTCS/article/view/2607
Dilshodbek, Z., & Bektosh, S. (2023). THE MAXIMUM REALIZATION METHOD OF COMMUNITY GROUPING IN SOCIAL NETWORKS. CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES, 4(5), 56-61. https://doi.org/10.17605/OSF.IO/5RQ2S
Bellman, R., & Zadeh, L. (1970). Decision-making in a fuzzy environment. Management Science, 17(4), B-141.
Zimmermann, H. (2011). Fuzzy set theory and its applications. Springer Science & Business Media.
Yager, R. (1981). A procedure for ordering fuzzy subsets of the unit interval. Information Sciences, 24(2), 143-161.
Lai, Y., & Hwang, C. (1992). A new approach to some possibilistic linear programming problems. Fuzzy sets and systems, 49(2), 121-133.
Chanas, S., & Kuchta, D. (1996). A concept of the optimal solution of the transportation problem with fuzzy cost coefficients. Fuzzy Sets and Systems, 82(3), 299-305.