PMID- 37895585
OWN - NLM
STAT- PubMed-not-MEDLINE
LR  - 20231029
IS  - 1099-4300 (Electronic)
IS  - 1099-4300 (Linking)
VI  - 25
IP  - 10
DP  - 2023 Oct 19
TI  - Simulation Research on the Relationship between Selected Inconsistency Indices 
      Used in AHP.
LID - 10.3390/e25101464 [doi]
LID - 1464
AB  - The Analytic Hierarchy Process (AHP) is a widely used used multi-criteria 
      decision-making method (MCDM). This method is based on pairwise comparison, which 
      forms the so-called Pairwise Comparison Matrix (PCM). PCMs usually contain some 
      errors, which can have an influence on the eventual results. In order to avoid 
      incorrect values of priorities, the inconsistency index (ICI) has been introduced 
      in the AHP by Saaty. However, the user of the AHP can encounter many definitions 
      of ICIs, of which values are usually different. Nevertheless, a lot of these 
      indices are based on a similar idea. The values of some pairs of these indices 
      are characterized by high values of a correlation coefficient. In my work, I 
      present some results of Monte Carlo simulation, which allow us to observe the 
      dependencies in AHP. I select some pairs of ICIs and I evaluate values of the 
      Pearson correlation coefficient for them. The results are compared with some 
      scatter plots that show the type of dependencies between selected ICIs. The 
      presented research shows some pairs of indices are closely correlated so that 
      they can be used interchangeably.
FAU - Starczewski, Tomasz
AU  - Starczewski T
AUID- ORCID: 0000-0001-5521-379X
AD  - Departments of Mathematics, Czestochowa University of Technology, 42-200 
      Czestochowa, Poland.
LA  - eng
PT  - Journal Article
DEP - 20231019
PL  - Switzerland
TA  - Entropy (Basel)
JT  - Entropy (Basel, Switzerland)
JID - 101243874
PMC - PMC10606368
OTO - NOTNLM
OT  - AHP
OT  - Monte Carlo simulation
OT  - decision making
OT  - inconsistency indices
OT  - multi-criteria decision
OT  - pairwise comparison
COIS- The author declares no conflict of interest. The funders had no role in the 
      design of the study; in the collection, analyses, or interpretation of data; in 
      the writing of the manuscript; or in the decision to publish the results.
EDAT- 2023/10/28 11:47
MHDA- 2023/10/28 11:48
PMCR- 2023/10/19
CRDT- 2023/10/28 01:22
PHST- 2023/09/05 00:00 [received]
PHST- 2023/10/09 00:00 [revised]
PHST- 2023/10/15 00:00 [accepted]
PHST- 2023/10/28 11:48 [medline]
PHST- 2023/10/28 11:47 [pubmed]
PHST- 2023/10/28 01:22 [entrez]
PHST- 2023/10/19 00:00 [pmc-release]
AID - e25101464 [pii]
AID - entropy-25-01464 [pii]
AID - 10.3390/e25101464 [doi]
PST - epublish
SO  - Entropy (Basel). 2023 Oct 19;25(10):1464. doi: 10.3390/e25101464.