Title :
Solving interval-valued fuzzy relation equations
Author :
Li, Guangzhi ; Fang, Shu-Cherng
Author_Institution :
Dept. of Oper. Res. & Ind. Eng., North Carolina State Univ., Raleigh, NC, USA
fDate :
5/1/1998 12:00:00 AM
Abstract :
Solving systems of fuzzy relation equations is an important topic in fuzzy set theory. This paper studies the composite interval-valued fuzzy relation equations. After analyzing the properties of its solution set, we convert the fuzzy relation equations into a fuzzy relation inequality system and propose an efficient computational procedure to generate the whole solution set. Examples are included to illustrate the idea and algorithm
Keywords :
fuzzy set theory; composite interval-valued fuzzy relation equations; fuzzy relation inequality system; fuzzy set theory; Adaptive control; Control systems; Equations; Fuzzy control; Fuzzy logic; Fuzzy set theory; Fuzzy systems; Least squares approximation; Programmable control; Sliding mode control;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
