DocumentCode
2890711
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.
fYear
2006
fDate
13-16 Aug. 2006
Firstpage
1658
Lastpage
1661
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location
Dalian, China
Print_ISBN
1-4244-0061-9
Type
conf
DOI
10.1109/ICMLC.2006.258902
Filename
4028331
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