A solution algorithm for fuzzy linear programming with piecewise linear membership functions

This paper deals with the fuzzy linear program with continuous piecewise linear membership functions. A fuzzy linear program with piecewise linear membership functions has been considered by Hannan and Nakamura. Hannan’s method can solve the problems only when all membership functions are concave in the range (0,1) and Nakamura’s method needs to use the linear programming technique repetitionally. The authors propose a technique to solve the problem using a standard linear programming when membership functions are strictly quasiconcave and the minimum operator is adopted for aggregating fuzzy goals. The repetitional use of linear programming technique is not required in the present method.