Solving fuzzy inequalities with piecewise linear membership functions

Cheng-Feng Hu, Shu-Cherng Fang
1999 IEEE transactions on fuzzy systems  
This paper deals with systems of fuzzy inequalities. It shows that a system of fuzzy inequalities with piecewise linear membership functions can be converted to a one-constraint nonlinear programming problem by employing the concepts of constraint surrogation and maximum entropy. An augmented Lagrangean algorithm is then applied to solve the resulting problem. Some computational results are included. Index Terms-Fuzzy mathematical programming, nonlinear programming, systems of fuzzy inequalities.
doi:10.1109/91.755403 fatcat:uz7kvwr2dnerbmp5ducfmp4oqq