Method for solving fully fuzzy linear programming problems using deviation degree measure

摘要

A new fully fuzzy linear programming(FFLP)problem with fuzzy equality constraints is discussed.Using deviation degree measures,the FFLP problem is transformed into a crispδ-parametric linear programming(LP)problem.Giving the value of deviation degree in each constraint,theδ-fuzzy optimal solution of the FFLP problem can be obtained by solving this LP problem.An algorithm is also proposed to find a balance-fuzzy optimal solution between two goals in conflict:to improve the values of the objective function and to decrease the values of the deviation degrees.A numerical example is solved to illustrate the proposed method.