Some Models for Multiple Attribute Decision Making with Intuitionistic Fuzzy Information and Uncertain Weights
Multiple attribute decision making problems with uncertain weights in intuitionistic fuzzy setting are investigated. Some concepts related to the theory of intuitionistic fuzzy set (IFS), including intuitionistic fuzzy weighted averaging (IFWA) operator, score function, and accuracy function, are reviewed. Based on the technology for order preference by similarity to idea solution (TOPSIS) method and the score matrix converted from decision matrix given in the form of intuitionistic fuzzy number (IFN), some quadratic programming models, by which the attribute weights can be derived, are established. Then, the alternatives are ranked, and the most desirable one is selected according to the score and accuracy degree of the collective IFN aggregated by IFWA operator. Finally, an example about evaluation of teaching was discussed to verify the effectiveness of the proposed approach.
Keywords: Multiple Attribute Decision Making, Intuitionistic Fuzzy Set, Uncertain Attribute Weights, TOPSIS, Quadratic Programming Models, Evaluation of Teaching Quality.
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ABOUT THE AUTHORS
Yujun Luo
Yujun Luo associate professor received B.S. degree from Sichuan Normal University in 1996 and M. S. degree from Chengdu University of Technology in 2002. He is currently with Department of Computer Science and Mathematics, North Sichuan Medical College, Nachong, China. His current research interests include uncertain multiple attribute decision making with fuzzy information and computer applications.
Xianfu Li
Xianfu Li associate professor received B.S. degree from Sichuan Normal University in 1996 and M.S. degree from China West Normal University in 2008. He is currently with Department of Imaging Medicine, North Sichuan Medical College, Nachong, China. His current research interest is digital image processing in three-dimension conformal radiation therapy for tumor.
Ying Yang
Ying Yang Lecturer received M.S. degree from China West Normal University in 2006. She is currently with Department of Computer Science and Mathematics, North Sichuan Medical College, Nachong, China. Her current research interest is computer applications.
Zhenglong Liu
Zhenglong Liu associate professor received B.S. degree from China West Normal University in 2000 and M.E. degree from Sichuan University in 2008. He is currently with Department of Computer Science and Mathematics, North Sichuan Medical College, Nachong, China. His current research interests include intelligent optimization algorithms, computer applications and mathematical methods in biomedicine.
Yujun Luo
Yujun Luo associate professor received B.S. degree from Sichuan Normal University in 1996 and M. S. degree from Chengdu University of Technology in 2002. He is currently with Department of Computer Science and Mathematics, North Sichuan Medical College, Nachong, China. His current research interests include uncertain multiple attribute decision making with fuzzy information and computer applications.
Xianfu Li
Xianfu Li associate professor received B.S. degree from Sichuan Normal University in 1996 and M.S. degree from China West Normal University in 2008. He is currently with Department of Imaging Medicine, North Sichuan Medical College, Nachong, China. His current research interest is digital image processing in three-dimension conformal radiation therapy for tumor.
Ying Yang
Ying Yang Lecturer received M.S. degree from China West Normal University in 2006. She is currently with Department of Computer Science and Mathematics, North Sichuan Medical College, Nachong, China. Her current research interest is computer applications.
Zhenglong Liu
Zhenglong Liu associate professor received B.S. degree from China West Normal University in 2000 and M.E. degree from Sichuan University in 2008. He is currently with Department of Computer Science and Mathematics, North Sichuan Medical College, Nachong, China. His current research interests include intelligent optimization algorithms, computer applications and mathematical methods in biomedicine.
