Title :
Research the priority methods of interval numbers complementary judgment matrix
Author :
Meng, Fanyong ; Zeng, Xuelan ; Li, Zhengyi
Author_Institution :
Guangxi Univ., Nanning
Abstract :
In this paper, firstly, a consistency definition for interval numbers complementary judgment matrix and its consistency sufficient condition are proposed. Secondly, two priority methods for interval numbers complementary judgment matrix, which are least square method and linear goal programming method, are proposed. Thirdly, a new method for the creation of interval number comprehensive judgment matrix is proposed. Finally, numerical examples are given to show their feasibility and effectiveness.
Keywords :
least squares approximations; linear programming; matrix algebra; number theory; consistency definition; interval numbers; judgment matrix; least square method; linear goal programming; priority method; Constitution; Decision making; Educational institutions; Fuzzy sets; Information science; Intelligent systems; Least squares methods; Linear programming; Mathematics; Sufficient conditions;
Conference_Titel :
Grey Systems and Intelligent Services, 2007. GSIS 2007. IEEE International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-1294-5
Electronic_ISBN :
978-1-4244-1294-5
DOI :
10.1109/GSIS.2007.4443234