DocumentCode :
3530752
Title :
A direct solution for obtaining a priority vector from interval pairwise comparison matrix
Author :
Kuo-ping Chiao
Author_Institution :
Dept. of Ind. Manage. & Enterprise Inf., Aletheia Univ., Taipei, Taiwan
fYear :
2010
fDate :
12-14 July 2010
Firstpage :
1
Lastpage :
6
Abstract :
A direct solution based on graphical method for linear programming with two decision variables for finding the interval priority vector in interval Analytic Hierarchy Pro-cess(AHP) is introduced in this paper. Instead of performing complicated computations, the graphical approach is developed to find the global optimal solution to the mathematical programming model for priority vector for the interval pairwise comparison matrix. The solution from graphical method is the global extremes rather than the local extremes. As a result the normalized optimal priority vector is referred to as the Global Optimal Interval Priority Vector (GOIPV). To verify GOIPV method, a numerical example from literature is reviewed with GOIPV method.
Keywords :
decision theory; linear programming; matrix algebra; vectors; analytic hierarchy process; global optimal interval priority vector; graphical method; interval pairwise comparison matrix; linear programming; mathematical programming model; Decision making; History; Linear programming; Mathematical model; Mathematical programming; Phase change materials; Probability; Robustness; Uncertainty; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Fuzzy Information Processing Society (NAFIPS), 2010 Annual Meeting of the North American
Conference_Location :
Toronto, ON
Print_ISBN :
978-1-4244-7859-0
Electronic_ISBN :
978-1-4244-7857-6
Type :
conf
DOI :
10.1109/NAFIPS.2010.5548206
Filename :
5548206
Link To Document :
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