Characteristics of positive reciprocal matrices in the analytic hierarchy process |
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Authors: | S I Gass S M Standard |
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Affiliation: | 1.Robert H. Smith School of Business, University of Maryland,USA;2.Department of Mathematics,University of Maryland,USA |
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Abstract: | Positive reciprocal matrices (PRMs) are the basic elements used by the Analytic Hierarchy Process (AHP) for resolving an important class of multi-criteria decision problems. A PRM, A=(a ij ), is square with all a ij >0 and a ji =1/a ij . We discuss characteristics of such matrices based on an analysis of both real-world and randomly generated sets. |
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