A methodology for tracing the rank invariance region in multi-criterion selection problems: Application to negative emission technologies
It has been previously established that, for multi-criterion selection problems, over a finite set of options, solved via simple additive weighting, there exists a set of weights for which the optimal alternative remains the best choice. This invariance region in the n-dimensional hyperspace defined...
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Main Authors: | , , , , |
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Format: | text |
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Animo Repository
2019
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Subjects: | |
Online Access: | https://animorepository.dlsu.edu.ph/faculty_research/4401 |
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Institution: | De La Salle University |
Summary: | It has been previously established that, for multi-criterion selection problems, over a finite set of options, solved via simple additive weighting, there exists a set of weights for which the optimal alternative remains the best choice. This invariance region in the n-dimensional hyperspace defined by the problem criteria contains the set of all weights for which the optimal solution is robust to preference changes. When the set of options is a continuum, there are no known invariance regions reported in the literature. In this work, we develop a procedure to characterize and trace this invariance region when the number of options is finite. The methodology is demonstrated on a case study involving a selection of negative emission technologies based on carbon sequestration potential, water footprint, energy demand, and cost. © 2019, Springer Nature Singapore Pte Ltd. |
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