"A Sensitivity Analysis Approach For Some Deterministic
Multi-Criteria Decision Making Methods"
Decision Sciences, 1997, Vol. 28, No. 1, pp. 151-194.
Evangelos Triantaphyllou and Alfonso Sanchez
Abstract:
Often data in multi-criteria decision making (MCDM) problems are
imprecise and changeable. Therefore, an important step in many
applications of MCDM is to perform a sensitivity analysis on the
input data. This paper presents a methodology for performing a
sensitivity analysis on the weights of the decision criteria and
the performance values of the alternatives expressed in terms of
the decision criteria. The proposed methodology is demonstrated on
three widely used decision methods. These are the weighted sum
model (WSM), the weighted product model (WPM), and the analytic
hierarchy process (AHP). This paper formalizes a number of
important issues on sensitivity analysis and derives some critical
theoretical results. Also, a number of illustrative examples and
computational experiments further illustrate the application of the
proposed methodology.
