Solving fuzzy inequalities with piecewise linear membership functions

被引：23

作者：

Hu, CF ^{[1
]}

Fang, SC

机构：

[1] I Shou Univ, Dept Appl Math, Kaohsiung, Taiwan

[2] N Carolina State Univ, Dept Ind Engn & Operat Res, Raleigh, NC 27695 USA

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 1999年 / 7卷 / 02期

关键词：

fuzzy mathematical programming; nonlinear programming; systems of fuzzy inequalities;

D O I：

10.1109/91.755403

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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.

引用

页码：230 / 235

页数：6

共 24 条

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[2]

Arrow K. J., 1973, Mathematical Programming, V5, P225, DOI 10.1007/BF01580123

[3]

Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141

[4]

Bertsekas D., 2019, Reinforcement Learning and Optimal Control