Testing the sensitivity of linear additive weighting to variations in a criterion weight

Smith P.N. (1992) Testing the sensitivity of linear additive weighting to variations in a criterion weight. Project Appraisal, 7 2: 107-114. doi:10.1080/02688867.1992.9726848


Author Smith P.N.
Title Testing the sensitivity of linear additive weighting to variations in a criterion weight
Journal name Project Appraisal
ISSN 0268-8867
Publication date 1992-01-01
Sub-type Article (original research)
DOI 10.1080/02688867.1992.9726848
Open Access Status Not yet assessed
Volume 7
Issue 2
Start page 107
End page 114
Total pages 8
Subject 2308 Management, Monitoring, Policy and Law
3305 Geography, Planning and Development
Abstract Linear additive weighting is a multicriterion decision-making technique used to find a preference ordering over a discrete set of options generated to satisfy multiple criteria/objectives. Given, for example, that option A is ranked ‘best’ and option B is ranked ‘second best’, then an important question is the extent to which the results of additive weighting are sensitive to variations in a particular criterion weight such that options A and B are equated in terms of aggregate value as ‘joint best’. This paper presents a simple formula to assess such possibilities. In addition, an approach to testing the sensitivity of the results of additive weighting to variations in all criterion weights is presented using the concepts of ‘directed divergence’ (‘discrimination information’) and ‘least squares’.
Keyword Decision-making
Methods
Preference ranking
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
 
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Created: Tue, 28 Jun 2016, 11:55:48 EST by System User