Inconsistency indices for pairwise comparison matrices: a numerical study

Brunelli, Matteo; Canal, Luisa; Fedrizzi, Michele
December 2013
Annals of Operations Research;Dec2013, Vol. 211 Issue 1, p493
Academic Journal
Evaluating the level of inconsistency of pairwise comparisons is often a crucial step in multi criteria decision analysis. Several inconsistency indices have been proposed in the literature to estimate the deviation of expert’s judgments from a situation of full consistency. This paper surveys and analyzes ten indices from the numerical point of view. Specifically, we investigate degrees of agreement between them to check how similar they are. Results show a wide range of behaviors, ranging from very strong to very weak degrees of agreement.


Related Articles

  • Nonlinear programming applied to the reduction of inconsistency in the AHP method. Pereira, Valdecy; Costa, Helder // Annals of Operations Research;Jun2015, Vol. 229 Issue 1, p635 

    Analytic Hierarchy Process is one of the most known multicriteria decision aid methods. Nevertheless, as it relies on decision makers (DM) pairwise comparisons, a problem may occur if some comparisons are not well done. This issue, known as inconsistency, appears when an inconsistency threshold...

  • A Multiplicative Approach to Derive Weights in the Interval Analytic Hierarchy Process. Jing Rung Yu; Yu-Wen Hsiao; Her-Jiun Sheu // International Journal of Fuzzy Systems;Sep2011, Vol. 13 Issue 3, p225 

    This paper proposes a multiplicative approach to solve defective issues in lexicographic goal programming of the analytic hierarchy process (LGPAHP). Although the LGPAHP can handle inconsistent interval comparison matrices, it generates different weights in the upper and lower triangular...

  • AMulti-Criterion Decision-Making on Preventive Maintenance. Faghihinia, E.; Mollaverdi, N. // Proceedings of the International Conference on Industrial Engine;2012, p623 

    This paper presents a multi-criterion decision-aided maintenance model with three criteria: reliability, maintenance cost and maintenance downtime. The Bayesian approach has been applied to confront maintenance failure data shortage. The model seeks to make the best compromise between these...

  • Cross-Weight Evaluation for Pairwise Comparison Matrices. Wang, Ying-Ming; Luo, Ying; Xu, Yi-Song // Group Decision & Negotiation;May2013, Vol. 22 Issue 3, p483 

    Data envelopment analysis (DEA) methodology has recently been applied to weight derivation in the analytic hierarchy process (AHP). This paper proposes a cross-weight evaluation technique, which is similar to the cross-efficiency evaluation in DEA, for priority determination in the AHP. The...

  • Probabilistic Linguistic Analytic Hierarchy Process and Its Application on the Performance Assessment of Xiongan New Area. Xie, Wanying; Ren, Zhiliang; Wang, Hai; Xu, Zeshui // International Journal of Information Technology & Decision Makin;Nov2018, Vol. 17 Issue 6, p1693 

    Analytic Hierarchy Process (AHP) is one of the most favorable decision tools for dealing with complex decision-making problems. Probabilistic linguistic term set (PLTS) is an up-to-date tool to deal with uncertain information in the decision-making process. In this paper, we extend the AHP to...

  • An improved statistical approach for consistency test in AHP. Lin, Changsheng; Kou, Gang; Ergu, Daji // Annals of Operations Research;Dec2013, Vol. 211 Issue 1, p289 

    The pair-wise comparison matrix (PCM) is widely used in multi-criteria decision making methods. If the PCM is inconsistent, the resulting priority vector is not reliable. Hence, it is necessary to measure the level of the inconsistency of the PCM. There are two approaches for testing the...

  • An exploratory study on consumer buying behavior in Pakistani perspective. Ali, Mumtaz; Jing Fengjie; Qureshi, Naveed Akhtar // Asian Journal of Management Research;2010, p216 

    The main purpose of this study is to find out the reasons why customer behaving differently at the time of purchasing goods/services. The factors such as family structure, country of origin, age, culture, and advertising have an impact on an individual's way of thinking and ultimately on...

  • Guest Editors' Introduction. Shang, Jennifer; Ergu, Daji // International Journal of Information Technology & Decision Makin;Jul2016, Vol. 15 Issue 4, p729 

    An introduction is presented in which the editor discusses various reports published within the issue which include the concept of Analytic Hierarchy Process (AHP) and Analytic Network Process (ANP), the use of multiple criteria decision making, and the idea of pairwise voting.

  • Rank Reversal and the VIKOR Method: An Empirical Evaluation. Ceballos, Blanca; Pelta, David A.; Lamata, María T. // International Journal of Information Technology & Decision Makin;Mar2018, Vol. 17 Issue 2, p513 

    Rank reversal is a common phenomenon in multi-criteria decision-making methods. It appears when the addition/deletion of new options to the alternatives' set produces a change in the original ranking. In this contribution, we want to assess this phenomenon in the context of the VIKOR method....


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics