THE NUMBER OF CIRCULAR TRIADS IN A PAIRWISE COMPARISON MATRIX AND A CONSISTENCY TEST IN THE AHP(&lt;Special Issue&gt;Operations Research for Performance Evaluation)

Iida, Youichi

doi:10.15807/jorsj.52.174

Cited by 7 publications

(1 citation statement)

References 10 publications

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“…Many researchers have attempted to enhance the evaluation and prioritization phases. For example, the analytical hierarchy approach (AHP) was initially created by Saaty [2], followed by many researchers ( [3], [4], [5], [6], [7]) who have also proposed some qualitative and rule-based approaches to detect inconsistencies in the evaluation and prioritization phases. However, there is no obvious research conducted on verification and knowledge conversion support for inconsistency detection.…”

Section: Introductionmentioning

confidence: 99%

Verification Mechanism for Online Responses in Criteria Prioritization

Lim

Khoo

Belaton

2013

AMM

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In online criteria prioritization questionnaires, the respondents are not given an opportunity to verify and deliberate the reasons for each response. This paper describes a novel way to acquire the reasons and contexts behind the prioritization of criteria or alternatives, through a verification mechanism together with a set of logical rules. Essentially, a respondent is expected to visually verify the online responses against the reasons behind the prioritization of each pair of alternatives or criteria. A rule-based approach is then adopted to validate and display the inconsistent responses. Each respondent is expected to correct all detected inconsistency by recording the appropriate reasons and contexts in some concept maps. The resulting verification mechanism could be further enhanced and used as an intelligent organizational knowledge creation and maintenance framework for personalizing a group decision support setting.

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Section: Introductionmentioning

confidence: 99%

Verification Mechanism for Online Responses in Criteria Prioritization

Lim

Khoo

Belaton

2013

AMM

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Ordinal Inconsistency

Mazurek

2022

Multiple Criteria Decision Making

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Inconsistency in the ordinal pairwise comparisons method with and without ties

Kułakowski¹

2018

European Journal of Operational Research

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Comparing alternatives in pairs is a well-known method of ranking creation. Experts are asked to perform a series of binary comparisons and then, using mathematical methods, the final ranking is prepared. As experts conduct the individual assessments, they may not always be consistent. The level of inconsistency among individual assessments is widely accepted as a measure of the ranking quality. The higher the ranking quality, the greater its credibility.One way to determine the level of inconsistency among the paired comparisons is to calculate the value of the inconsistency index. One of the earliest and most widespread inconsistency indices is the consistency coefficient defined by Kendall and Babington Smith. In their work, the authors consider binary pairwise comparisons, i.e., those where the result of an individual comparison can only be: better or worse. The presented work extends the Kendall and Babington Smith index to sets of paired comparisons with ties. Hence, this extension allows the decision makers to determine the inconsistency for sets of paired comparisons, where the result may also be "equal." The article contains a definition and analysis of the most inconsistent set of pairwise comparisons with and without ties. It is also shown that the most inconsistent set of pairwise comparisons with ties represents a special case of the more general set cover problem.

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THE NUMBER OF CIRCULAR TRIADS IN A PAIRWISE COMPARISON MATRIX AND A CONSISTENCY TEST IN THE AHP(<Special Issue>Operations Research for Performance Evaluation)

Cited by 7 publications

References 10 publications

Verification Mechanism for Online Responses in Criteria Prioritization

Verification Mechanism for Online Responses in Criteria Prioritization

Ordinal Inconsistency

Inconsistency in the ordinal pairwise comparisons method with and without ties

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