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Add or Multiply? A Tutorial on Ranking and Choosing with Multiple Criteria

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Add or Multiply? A Tutorial on Ranking and Choosing with Multiple Criteria. / Tofallis, C.

In: INFORMS Transactions on Education, Vol. 14, No. 3, 27.05.2014, p. 109-119.

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@article{2e37c3906bef4bfe82b2f508e5eff36a,
title = "Add or Multiply?: A Tutorial on Ranking and Choosing with Multiple Criteria",
abstract = "Simple additive weighting is a well-known method for scoring and ranking alternative options based on multiple attributes. However, the pitfalls associated with this approach are not widely appreciated. For example, the apparently innocuous step of normalizing the various attribute data in order to obtain comparable figures leads to markedly different rankings depending on which normalization is chosen. When the criteria are aggregated using multiplication, such difficulties are avoided because normalization is no longer required. Thisremoves an important source of subjectivity in the analysis because the analyst no longer has to make a choice of normalization type. Moreover, it also permits the modelling of more realistic preference behaviour, such as diminishing marginal utility, which simple additive weighting does not provide. The multiplicative approach also has advantages when aggregating the ratings of panel members. This method is not new but has been ignored for too long by both practitioners and teachers. We aim to present it in a nontechnical way and illustrate its use with data on business schools.",
keywords = "multiattribute decision making; ranking; scoring; aggregation; selection; teaching management science; teaching decision analysis; multiple criteria",
author = "C. Tofallis",
year = "2014",
month = may,
day = "27",
doi = "10.1287/ited.2013.0124",
language = "English",
volume = "14",
pages = "109--119",
journal = "INFORMS Transactions on Education",
issn = "1532-0545",
publisher = "INFORMS Institute for Operations Research and the Management Sciences",
number = "3",

}

RIS

TY - JOUR

T1 - Add or Multiply?

T2 - A Tutorial on Ranking and Choosing with Multiple Criteria

AU - Tofallis, C.

PY - 2014/5/27

Y1 - 2014/5/27

N2 - Simple additive weighting is a well-known method for scoring and ranking alternative options based on multiple attributes. However, the pitfalls associated with this approach are not widely appreciated. For example, the apparently innocuous step of normalizing the various attribute data in order to obtain comparable figures leads to markedly different rankings depending on which normalization is chosen. When the criteria are aggregated using multiplication, such difficulties are avoided because normalization is no longer required. Thisremoves an important source of subjectivity in the analysis because the analyst no longer has to make a choice of normalization type. Moreover, it also permits the modelling of more realistic preference behaviour, such as diminishing marginal utility, which simple additive weighting does not provide. The multiplicative approach also has advantages when aggregating the ratings of panel members. This method is not new but has been ignored for too long by both practitioners and teachers. We aim to present it in a nontechnical way and illustrate its use with data on business schools.

AB - Simple additive weighting is a well-known method for scoring and ranking alternative options based on multiple attributes. However, the pitfalls associated with this approach are not widely appreciated. For example, the apparently innocuous step of normalizing the various attribute data in order to obtain comparable figures leads to markedly different rankings depending on which normalization is chosen. When the criteria are aggregated using multiplication, such difficulties are avoided because normalization is no longer required. Thisremoves an important source of subjectivity in the analysis because the analyst no longer has to make a choice of normalization type. Moreover, it also permits the modelling of more realistic preference behaviour, such as diminishing marginal utility, which simple additive weighting does not provide. The multiplicative approach also has advantages when aggregating the ratings of panel members. This method is not new but has been ignored for too long by both practitioners and teachers. We aim to present it in a nontechnical way and illustrate its use with data on business schools.

KW - multiattribute decision making; ranking; scoring; aggregation; selection; teaching management science; teaching decision analysis; multiple criteria

U2 - 10.1287/ited.2013.0124

DO - 10.1287/ited.2013.0124

M3 - Article

VL - 14

SP - 109

EP - 119

JO - INFORMS Transactions on Education

JF - INFORMS Transactions on Education

SN - 1532-0545

IS - 3

ER -