A linear multiobjective mathematical programming problem with fuzzy coefficients is described and studied through a bidimensional approach. Under a few and practically not restrictive hypotheses we show how the problem can be transformed into a linear fractional programming one and then, through the Dinkelbach parametric approach, into a sequence of classical linear programming problem. Some applications are briefly suggested.
Bidimensional Approach to Fuzzy Linear Goal Programming
CANESTRELLI, Elio;GIOVE, Silvio
1994-01-01
Abstract
A linear multiobjective mathematical programming problem with fuzzy coefficients is described and studied through a bidimensional approach. Under a few and practically not restrictive hypotheses we show how the problem can be transformed into a linear fractional programming one and then, through the Dinkelbach parametric approach, into a sequence of classical linear programming problem. Some applications are briefly suggested.
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