Solving fuzzy inequalities with piecewise linear membership functions

Authors:
Cheng-Feng Hu;Shu-Cherng Fang
Affiliations:
Dept. of Appl. Math., I-Shou Univ., Kaohsiung;-
Venue:
IEEE Transactions on Fuzzy Systems
Year:
1999

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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