Abstract:
In this paper, we introduce a new concept, the a-fuzzy max order, and then use the
concept in the study of fuzzy linear constrained optimization problems. For constraints given by 11
inequalities involving fuzzy numbers with isosceles triangle membership functions, we prove that the
feasible solution space is determined by 3/1 non-fuzzy 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 fuzzy
optimization problem. An illuminative example is also given in this paper to demonstrate the validity
of the methods and algorithms developed.
