Title :
Solving fuzzy inequalities with piecewise linear membership functions
Author :
Hu, Cheng-Feng ; Fang, Shu-Cherng
Author_Institution :
Dept. of Appl. Math., I-Shou Univ., Kaohsiung, Taiwan
fDate :
4/1/1999 12:00:00 AM
Abstract :
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 surrogate constraints and maximum entropy. An augmented Lagrangean algorithm is then applied to solve the resulting problem. Some computational results are included
Keywords :
constraint theory; fuzzy set theory; maximum entropy methods; nonlinear programming; piecewise linear techniques; augmented Lagrangean algorithm; fuzzy inequalities; maximum entropy; one-constraint nonlinear programming problem; piecewise linear membership functions; surrogate constraints; Entropy; Functional programming; Fuzzy sets; Fuzzy systems; Lagrangian functions; Linear programming; Mathematical model; Mathematical programming; Operations research; Piecewise linear techniques;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
