Title :
A New Priority Method for Triangular Fuzzy Number Complementary Judgment Matrix
Author :
Zeng, Xuelan ; Meng, Fanyong ; Chen, Meihua
Author_Institution :
Guangxi Univ., Nanning
Abstract :
In this paper, firstly, the existing problems of the solution of weight vector of triangular fuzzy number complementary judgment matrix, which are proposed by Xu (2004) and Gu (2006), are discussed. Secondly, on the basis of the consistency definition for triangular fuzzy number complementary judgment matrix (TFNCJM) proposed by Gu (2006), a consistency sufficient condition of TFNCJM is proposed, and a linear goal programming of TFNCJM is established. Then the weight vector of TFNCJM is obtained by solving the model. Thirdly, the paper gives a new priority formula for triangular fuzzy number, and the priority of alternatives are obtained by using the formula. Finally, a numerical example is given to show their feasibility and effectiveness.
Keywords :
fuzzy set theory; linear programming; matrix algebra; number theory; vectors; linear goal programming; priority method; triangular fuzzy number complementary judgment matrix; weight vector; Arithmetic; Educational institutions; Fuzzy sets; Information analysis; Information science; Linear programming; Mathematics; Sufficient conditions; Upper bound; Vectors;
Conference_Titel :
Natural Computation, 2007. ICNC 2007. Third International Conference on
Conference_Location :
Haikou
Print_ISBN :
978-0-7695-2875-5
DOI :
10.1109/ICNC.2007.102
