TITLE:
Solving Fuzzy Multi-Objective Linear Programming Problem by Applying Statistical Method
AUTHORS:
Samsun Nahar, Marin Akter, Md. Abdul Alim
KEYWORDS:
Fuzzy Multi-Objective Linear Programming Problem, Fuzzy Linear Programming Problem, Chandra Sen’s Method, Statistical Averaging Method, New Statistical Averaging Method
JOURNAL NAME:
American Journal of Operations Research,
Vol.12 No.6,
November
30,
2022
ABSTRACT: 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.