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
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