Title :
A Linear Problemming Problem with Fuzzy Relational Parameters
Author :
Guo, Fang-fang ; Xia, Zun-quan ; Dong, Yu-lin
Author_Institution :
Dept. of Appl. Math., Dalian Univ. of Technol.
Abstract :
A linear programming problem with fuzzy relational parameters is proposed in this paper. It is an extension of the problem (solving fuzzy relation equations with a linear objective function) proposed by Fang and Li (1999). For characterizing the feasible domain of the new problem, two new concepts, f-vertex and vertex of the problem are introduced. It is proved that the minimum of the new problem must be attained at some vertex of it. Based on this conclusion, an algorithm for solving the new problem is given
Keywords :
fuzzy set theory; linear programming; f-vertex; fuzzy optimization; fuzzy relational parameter; linear programming; Constraint optimization; Cybernetics; Decision making; Equations; Fuzzy control; Fuzzy systems; Linear programming; Machine learning; Machine learning algorithms; Mathematics; Medical diagnosis; Problem-solving; Constraints; F-vertex; Fuzzy optimization; Fuzzy relation inequality;
Conference_Titel :
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location :
Dalian, China
Print_ISBN :
1-4244-0061-9
DOI :
10.1109/ICMLC.2006.258902
