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Solving Fuzzy Multi-Objective Linear Programming Problem by Applying Statistical Method

Solving Fuzzy Multi-Objective Linear Programming Problem by Applying Statistical Method
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摘要 In this paper, the statistical averaging method and the new statistical averaging methods have been used to solve the fuzzy multi-objective linear programming problems. These methods have been applied to form a single objective function from the fuzzy multi-objective linear programming problems. At first, a numerical example of solving fuzzy multi-objective linear programming problem has been provided to validate the maximum risk reduction by the proposed method. The proposed method has been applied to assess the risk of damage due to natural calamities like flood, cyclone, sidor, and storms at the coastal areas in Bangladesh. The proposed method of solving the fuzzy multi-objective linear programming problems by the statistical method has been compared with the Chandra Sen’s method. The numerical results show that the proposed method maximizes the risk reduction capacity better than Chandra Sen’s method. In this paper, the statistical averaging method and the new statistical averaging methods have been used to solve the fuzzy multi-objective linear programming problems. These methods have been applied to form a single objective function from the fuzzy multi-objective linear programming problems. At first, a numerical example of solving fuzzy multi-objective linear programming problem has been provided to validate the maximum risk reduction by the proposed method. The proposed method has been applied to assess the risk of damage due to natural calamities like flood, cyclone, sidor, and storms at the coastal areas in Bangladesh. The proposed method of solving the fuzzy multi-objective linear programming problems by the statistical method has been compared with the Chandra Sen’s method. The numerical results show that the proposed method maximizes the risk reduction capacity better than Chandra Sen’s method.
作者 Samsun Nahar Marin Akter Md. Abdul Alim Samsun Nahar;Marin Akter;Md. Abdul Alim(Department of Basic Sciences and Humanities, University of Asia Pacific, Dhaka, Bangladesh;General Education Department, City University, Dhaka, Bangladesh;Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh)
出处 《American Journal of Operations Research》 2022年第6期293-309,共17页 美国运筹学期刊(英文)
关键词 Fuzzy Multi-Objective Linear Programming Problem Fuzzy Linear Programming Problem Chandra Sen’s Method Statistical Averaging Method New Statistical Averaging Method Fuzzy Multi-Objective Linear Programming Problem Fuzzy Linear Programming Problem Chandra Sen’s Method Statistical Averaging Method New Statistical Averaging Method
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