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

Jingrui Li, Hongyi Chen

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Scopus citations


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.

Original languageEnglish (US)
Title of host publicationInnovation, Technology and Knowledge Management
Number of pages34
StatePublished - 2016

Publication series

NameInnovation, Technology and Knowledge Management
ISSN (Print)2197-5698
ISSN (Electronic)2197-5701

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing Switzerland.


  • Decision analysis
  • Graph theory
  • Multiple criteria analysis
  • Robustness and sensitivity analysis


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