DocumentCode
1493541
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
Volume
7
Issue
2
fYear
1999
fDate
4/1/1999 12:00:00 AM
Firstpage
230
Lastpage
235
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;
fLanguage
English
Journal_Title
Fuzzy Systems, IEEE Transactions on
Publisher
ieee
ISSN
1063-6706
Type
jour
DOI
10.1109/91.755403
Filename
755403
Link To Document