Sensitivity analysis for the ELECTRE multicriteria method

Abstract

In this paper, we develop sensitivity ranges for parameters used in the ELECTRE I multicriteria decision method. Parameters studied include criteria weights as well as significance thresholds. For these parameters, intervals are determined in which parameter changes will not affect the set of non-outranked alternatives. The approach developed is illustrated by a numerical example and possible applications are discussed. Zusammenfassung:In dieser Arbeit wird ein Ansatz zur Sensitivit~itsanalyse fiir das MultikriteriaEntscheidungsverfahren ELECTRE I vorgestellt. Ftir die Gewichte der Kriterien sowie die im Verfahren verwendeten Signifikanzschwellen werden jeweils Intervalle konstruiert, innerhalb derer Parameteranderungen keine )~nderungen im Ergebnis des Verfahrens bewirken. Die entwickelte Sensitivit~itsanalyse wird anhand eines Beispiels illustriert und m6gliche Anwendungen des Konzeptes werden aufgezeigt.

ELECTRE: A comprehensive literature review on methodologies and applications

“…Not specified Tervonen et al (2009a) A stochastic method, SMAA-TRI., for parameter stability analysis of ETRI Risk zoning of land Thiel (2008) Confidence intervals for the criteria weights in EIII for use in group decision-aiding Assess public transportation Vetschera (1986) Sensitivity ranges for thresholds and weights in EI, within which the solution will remain unchanged Purchasing aircrafts Vetschera (1988) An interactive DSS based on EI, in which alternatives are successively eliminated by threshold modifications…”

The ELECTRE I Multi-Criteria Decision-Making Method Based on Hesitant Fuzzy Sets

“…In the future, we will study new HF-ELECTRE type methods to MCDM based on the generalized HFSs. Third, in the present work, we have used the sensitivity analysis, which is a traditional answer to the di±culties in setting the parameter values, 78,79 as an important way to evaluate the HF-ELEC-TRE I method. However, a more complete evaluation for a MCDM approach including our HF-ELECTRE I needs to consider other quality factors, such as convergence of opinions, e±ciency of the selected nondominated alternatives, etc., besides the sensitivity analysis.…”

“…Speci¯cally, in Example 3, alternatives that are not outranked by other alternatives. 78 Thus, c could be lowered to zero and d could be raised to 1. Moreover, we note from the hesitant fuzzy concordance (discordance) matrices (given in Step 5 (Step 6) in Example 3) that when c is increased above 0.55, the alternative A 3 is no longer outranked by any other alternative.…”

Multicriteria agency theory

“…Constraints can either take the form of bounds on single weights or link several weights. This kind of information on weights has been considered in the fields of decision making under incomplete information (Franke, 1978;Hannan, 1981;Kirkwood/Sarin, 1985;Hazen, 1986;Weber, 1987;Arbel, 1989;Malakooti, 1989) and sensitivity analysis (Evans, 1984;Schneller/Sphicas, 1985;Vetschera, 1986;Barron/Schmidt, 1988;Rios Insua/French, 1991). The motivation for that kind of analysis was the problem of a decision maker who is uncertain about his preferences and consequently not able to specify the weights precisely, but prefers to provide only interval or ordinal information about the weights.…”