Statistical analyses on time complexity and rank consistency between singular value decomposition and the duality approach in AHP: A case study of faculty member selection

Nur Jumaadzan Zaleha Mamat, J. K. Daniel

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

In faculty member selection, the large number of candidates is often a great challenge to the selection committee. A large number of candidates requires a large number of pairwise comparison matrices which leads to considerable time to obtain the final ranking of candidates. To determine a suitable approach we compared the singular value decomposition (SVD) and the duality approach in AHP for the average time taken to obtain a final ranking of candidates and compared them for their rank consistency. Simulation results showed that SVD is three times faster than the duality approach in AHP. A linear regression study and a two-way ANOVA study of the two approaches are presented.

Original languageEnglish
Pages (from-to)1099-1106
Number of pages8
JournalMathematical and Computer Modelling
Volume46
Issue number7-8
DOIs
Publication statusPublished - Oct 2007
Externally publishedYes

Fingerprint

Singular value decomposition
Time Complexity
Duality
Ranking
Analysis of variance (ANOVA)
Linear regression
Pairwise Comparisons
Time-average
Simulation

Keywords

  • Analysis of variance (ANOVA)
  • Analytic hierarchy process (AHP)
  • Duality approach
  • Faculty member selection
  • Linear regression
  • Rank consistency
  • Singular value decomposition (SVD)
  • Time complexity

ASJC Scopus subject areas

  • Information Systems and Management
  • Control and Systems Engineering
  • Applied Mathematics
  • Computational Mathematics
  • Modelling and Simulation
  • Computer Science (miscellaneous)

Cite this

Statistical analyses on time complexity and rank consistency between singular value decomposition and the duality approach in AHP : A case study of faculty member selection. / Mamat, Nur Jumaadzan Zaleha; Daniel, J. K.

In: Mathematical and Computer Modelling, Vol. 46, No. 7-8, 10.2007, p. 1099-1106.

Research output: Contribution to journalArticle

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