The Comparative Relation and Its Application in solving Fuzzy Linear Programming Problem
This paper considers linear programming problem whose objective function is fuzzy numbers vector. In order to solve this problem, we first present a new definition of comparative relation on the set of fuzzy numbers. Based on this definition, we state a method to compare fuzzy numbers directly and then, by the related theorems and lemmas, we build an algorithm to solve fuzzy presented problem.
Keywords: Fuzzy linear programming, fuzzy objective function, triangular fuzzy number, comparative relation
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ABOUT THE AUTHORS
Nguyen Thien Luan
Nguyen Thien Luan is a lecturer with the Technical University Le Qui Don. His research interests include fuzzy logic, fuzzy optimization, image processing, commu-nications and network security. He has authored or co-authored of more than 30 scientific research projects, in areas of his research. He received his Ph.D (1989) and Associate Professor (2003).
Vu Thi Thu Huyen
Vu Thi Thu Huyen is a lecturer in the Department of Information Technology at the University of Economic and Technical Industries, Vietnam. She received the Master of IT in 2009 at Le Qui Don Technical University, Vietnam where she is now a student of doctor course. Her area of research is fuzzy optimization.
Nguyen Thien Luan
Nguyen Thien Luan is a lecturer with the Technical University Le Qui Don. His research interests include fuzzy logic, fuzzy optimization, image processing, commu-nications and network security. He has authored or co-authored of more than 30 scientific research projects, in areas of his research. He received his Ph.D (1989) and Associate Professor (2003).
Vu Thi Thu Huyen
Vu Thi Thu Huyen is a lecturer in the Department of Information Technology at the University of Economic and Technical Industries, Vietnam. She received the Master of IT in 2009 at Le Qui Don Technical University, Vietnam where she is now a student of doctor course. Her area of research is fuzzy optimization.
