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Integrating statistical correlation with discrete multi-criteria decision making

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Integrating statistical correlation with discrete multi-criteria decision making. / Haddad, Malik; Sanders, David; Tewkesbury, Giles; Bausch, Nils.

In: International Journal of Information and Decision Sciences, Vol. 13, No. 1, 09.03.2021, p. 1-15.

Research output: Contribution to journalArticlepeer-review

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Haddad, Malik ; Sanders, David ; Tewkesbury, Giles ; Bausch, Nils. / Integrating statistical correlation with discrete multi-criteria decision making. In: International Journal of Information and Decision Sciences. 2021 ; Vol. 13, No. 1. pp. 1-15.

Bibtex

@article{07e2a8c51e6e4df68f22425a56a0404b,
title = "Integrating statistical correlation with discrete multi-criteria decision making",
abstract = "This paper analyses two hypotheses that considers a correlation between the number of alternatives and the number of criteria considered in a Multiple Criteria Decision Making (MCDM) problem with the minimum percentage change required in the lowest criterion weight to change the outcome of a method. Two MCDM methods are considered, The Analytical Hierarchy Process (AHP) and The Preference Ranking Organization METHod for Enrichment of Evaluations II (PROMETHEE II) were applied to the same sets of criteria weights and performance measures. More than two thousand randomly generated sets of criteria weights and performance measures are considered. The minimum percentage change in the lowest criterion weight required to change the outcome of a method is calculated. Pearson{\textquoteright}s r parametric test is used to test the hypotheses. Results from parametric test were statistically significant and shows a weak negative correlation for hypothesis one and weak positive correlation for hypothesis two.",
keywords = "multiple criteria decision-making, MCDM, AHP, PROMETHEE II, correlation, criteria, Pearson's r parametric test, statistical analysis",
author = "Malik Haddad and David Sanders and Giles Tewkesbury and Nils Bausch",
note = "12 month embargo to be set from date of online publication. Inderscience. Full citation and link to DOI required.",
year = "2021",
month = mar,
day = "9",
doi = "10.1504/IJIDS.2021.113599",
language = "English",
volume = "13",
pages = "1--15",
journal = "International Journal of Information and Decision Sciences",
issn = "1756-7017",
publisher = "Inderscience",
number = "1",

}

RIS

TY - JOUR

T1 - Integrating statistical correlation with discrete multi-criteria decision making

AU - Haddad, Malik

AU - Sanders, David

AU - Tewkesbury, Giles

AU - Bausch, Nils

N1 - 12 month embargo to be set from date of online publication. Inderscience. Full citation and link to DOI required.

PY - 2021/3/9

Y1 - 2021/3/9

N2 - This paper analyses two hypotheses that considers a correlation between the number of alternatives and the number of criteria considered in a Multiple Criteria Decision Making (MCDM) problem with the minimum percentage change required in the lowest criterion weight to change the outcome of a method. Two MCDM methods are considered, The Analytical Hierarchy Process (AHP) and The Preference Ranking Organization METHod for Enrichment of Evaluations II (PROMETHEE II) were applied to the same sets of criteria weights and performance measures. More than two thousand randomly generated sets of criteria weights and performance measures are considered. The minimum percentage change in the lowest criterion weight required to change the outcome of a method is calculated. Pearson’s r parametric test is used to test the hypotheses. Results from parametric test were statistically significant and shows a weak negative correlation for hypothesis one and weak positive correlation for hypothesis two.

AB - This paper analyses two hypotheses that considers a correlation between the number of alternatives and the number of criteria considered in a Multiple Criteria Decision Making (MCDM) problem with the minimum percentage change required in the lowest criterion weight to change the outcome of a method. Two MCDM methods are considered, The Analytical Hierarchy Process (AHP) and The Preference Ranking Organization METHod for Enrichment of Evaluations II (PROMETHEE II) were applied to the same sets of criteria weights and performance measures. More than two thousand randomly generated sets of criteria weights and performance measures are considered. The minimum percentage change in the lowest criterion weight required to change the outcome of a method is calculated. Pearson’s r parametric test is used to test the hypotheses. Results from parametric test were statistically significant and shows a weak negative correlation for hypothesis one and weak positive correlation for hypothesis two.

KW - multiple criteria decision-making

KW - MCDM

KW - AHP

KW - PROMETHEE II

KW - correlation

KW - criteria

KW - Pearson's r parametric test

KW - statistical analysis

U2 - 10.1504/IJIDS.2021.113599

DO - 10.1504/IJIDS.2021.113599

M3 - Article

VL - 13

SP - 1

EP - 15

JO - International Journal of Information and Decision Sciences

JF - International Journal of Information and Decision Sciences

SN - 1756-7017

IS - 1

ER -

ID: 24909416