Pairwise comparison matrices and the error-free property of the decision maker

Temesi, József

doi:10.1007/s10100-010-0145-8

Cited by 26 publications

(32 citation statements)

References 20 publications

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“…For most real problems, however, T is not consistent and its inconsistency is accounted for the behavior of the decision maker (Choo and Wedley, 2004;Temesi, 2011). A consistent matrix has rank one, and it is generated by any of its columns (Saaty, 1980).…”

Section: Introductionmentioning

confidence: 99%

Analysis of pairwise comparison matrices: an empirical research

et al. 2013

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Pairwise comparison (PC) matrices are used in multi-attribute decision problems (MADM) in order to express the preferences of the decision maker. Our research focused on testing various characteristics of PC matrices. In a controlled experiment with university students (N = 227) we have obtained 454 PC matrices. The cases have been divided into 18 subgroups according to the key factors to be analyzed. Our team conducted experiments with matrices of different size given from different types of MADM problems. Additionally, the matrix elements have been obtained by different questioning procedures differing in the order of the questions. Results are organized to answer five research questions. Three of them are directly connected to the inconsistency of a PC matrix. Various types of inconsistency indices have been applied. We have found that the type of the problem and the size of the matrix had impact on the inconsistency of the PC matrix. However, we have not found any impact of the questioning order. Incomplete PC matrices played an important role in our research. The decision makers behavioral consistency was as well analyzed in case of incomplete matrices using indicators measuring the deviation from the final order of alternatives and from the final score vector.

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Section: Introductionmentioning

confidence: 99%

Analysis of pairwise comparison matrices: an empirical research

et al. 2013

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“…The respective Saaty Inconsistency Index was high for cluster 1 but within Urban Transport XXI 633 www.witpress.com, ISSN 1743-3509 (on-line) acceptable limit for cluster 2. Koczkodaj Inconsistency Index for both the clusters was less than one, which is acceptable (<1) for a pairwise comparison matrix of order 7 and highest value as 9 [32,33].…”

Section: Pilot Surveymentioning

confidence: 88%

Mode choice for urban work-based daily trips: a multi-criteria decision making model using the Analytical Hierarchical Process

Kumar

Mangaraj

Vijayaraghavan

2015

WIT Transactions on the Built Environment

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The research work attempts to gain an understanding of the importance of various parameters affecting the mode choice made by urban transport users e.g. time, fare, comfort, reliability and accessibility, etc. The research aims to understand the major influences on user behaviour in an environment where all modes are available for use. In order to find the optimal decision, attempts were made to develop a model using the Analytical Hierarchy Process (AHP). An eight by eight matrix of parameters was developed where the users were asked to rank the pairwise relative importance of the parameters. The users were then classified based on income, age, city, mode used, etc., and the relative importance of each parameter was calculated in order to identify the varying trends between users of different demographic and economic groups.

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“…7. Such type of matrix is examined in [55] as an error-free PC matrix. 3 The ratio scale problem A scale may be considered as a mapping from a set of qualitative judgments to the set of real numbers.…”

Section: Pairwise Comparisons Basicsmentioning

confidence: 99%