Formulation of linear programming problems with fuzzy coefficients of objective functions and constraints

Publisher:
Nova Publishers
Publication Type:
Journal Article
Citation:
Asian-Information - Science - Life, 2003, 2 (1), pp. 57 - 68
Issue Date:
2003-01
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This paper concerns the solution of fuzzy linear programming problems (FLP) with fuzzy numbers in coefficients of objective functions and constraints. For constraints given by n equations / inequalities involving fuzzy numbers with isosceles triangle membership functions. we prove that the feasiible solution space is determined by 3n non-fuzzy equations / inequalities. For constraints involving fuzzy numbers with other forms of membership functions. We develop two numerical algorithms respectively for the determination of the feasible solution space and the solution of the FLP problem. An illuminative example is also given in this paper to demonstrate the validity of the methods and algorithms developed.
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