Proceedings of the Fuzzy System Symposium
31st Fuzzy System Symposium
Session ID : WD4-1
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Several Estimation Methods for Interval Priorities in Interval AHP and Their Comparisons
*Shigeaki InnanMasahiro Inuiguchi
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Abstract
From the viewpoint that the vagueness of decision maker's evaluation causes the inconsistency of a pairwise comparison matrix, Interval AHP estimating interval priorities has been proposed. In this paper, we demonstrate the insufficiency of the conventional interval priority estimation method and propose several modified estimation methods which reflect more vagueness of decision maker's evaluation. In those proposed methods, interval priorities are estimated easily by solving a linear programming problem. Numerical experiments are conducted to compare estimation methods from the point of view of the accuracy in estimating interval priorities and dominance relations between alternatives. Through the experiments, the advantages of modified estimations over the conventional one are demonstrated. Furthermore, we investigate the best estimation method among them.
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© 2015 Japan Society for Fuzzy Theory and Intelligent Informatics
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