Decision Making Tools: Sensitivity Analysis for the Constant Sum Pair-wise Comparison Method

Jingrui Li and Hongyi Chen ()
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Jingrui Li: University of Minnesota
Hongyi Chen: University of Minnesota Duluth

Chapter Chapter 13 in Hierarchical Decision Modeling, 2016, pp 275-308 from Springer

Abstract: Abstract Every hierarchical decision modeling process starts with quantifying the contributions of decision elements through pair-wise comparisons. As subjective values, the pair-wise comparison judgments are seldom provided at a 100 % confidence level and are subject to variations. To increase the model’s validity and ensure requisite decision making, it is important to know how sensitive the model result is to these inputs. In this chapter, a sensitivity analysis algorithm is developed to test a hierarchical decision model’s robustness to the pair-wise comparison judgment inputs acquired from the constant sum method. It defines the allowable region of perturbation(s) induced to a judgment matrix at any level of a decision hierarchy to keep the current ranking of decision alternatives unchanged. An example will be presented to demonstrate the application of this algorithm in technology selection.

Keywords: Robustness and sensitivity analysis; Multiple criteria analysis; Decision analysis; Graph theory (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:innchp:978-3-319-18558-3_13

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DOI: 10.1007/978-3-319-18558-3_13

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