Title :
The Properties of Priority Preservation for Different Prioritization Methods
Author :
Xu, Weijun ; Dong, Yucheng ; Hu, Maolin
Author_Institution :
South China Univ. of Technol., Guangzhou
Abstract :
In this paper, the priority preservation concept for adding a new element under a criterion is proposed. Then we proved that both eigenvector prioritization method and additive normalization prioritization method are weak priority preservation. In the same time, it is also proved that least deviation prioritization method, logarithmic least- squares prioritization method, least-squares prioritization method and gradient eigenvector prioritization method are strong priority preservation. The results are of importance for selecting a fitting prioritization method in the analytic hierarchy process.
Keywords :
decision making; eigenvalues and eigenfunctions; gradient methods; least squares approximations; matrix algebra; analytic hierarchy process; eigenvector prioritization method; fitting prioritization method; least deviation prioritization method; least-squares prioritization method; logarithmic least- squares prioritization method; normalization prioritization method; priority preservation; Arithmetic; Decision making; Educational institutions; Fuzzy systems; Mathematics; Technology management;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2007. FSKD 2007. Fourth International Conference on
Conference_Location :
Haikou
Print_ISBN :
978-0-7695-2874-8
DOI :
10.1109/FSKD.2007.581