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Complementary Judgment Matrix Method with Imprecise Information for Multicriteria Decision-Making
Joint Authors
Lahdelma, Risto
Wang, Haichao
Salminen, Pekka
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-09
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The complementary judgment matrix (CJM) method is an MCDA (multicriteria decision aiding) method based on pairwise comparisons.
As in AHP, the decision-maker (DM) can specify his/her preferences using pairwise comparisons, both between different criteria and between different alternatives with respect to each criterion.
The DM specifies his/her preferences by allocating two nonnegative comparison values so that their sum is 1.
We measure and pinpoint possible inconsistency by inconsistency errors.
We also compare the consistency of CJM and AHP trough simulation.
Because preference judgments are always more or less imprecise or uncertain, we introduce a way to represent the uncertainty through stochastic distributions, and a computational method to treat the uncertainty.
As in Stochastic Multicriteria Acceptability Analysis (SMAA), we consider different uncertainty levels: precise comparisons, imprecise comparisons with a stochastic distribution, and missing comparisons between criteria.
We compute rank acceptability indices for the alternatives, describing the probability of an alternative to obtain a given rank considering the level of uncertainty and study the influence of the uncertainty on the SMAA-CJM results.
American Psychological Association (APA)
Wang, Haichao& Lahdelma, Risto& Salminen, Pekka. 2018. Complementary Judgment Matrix Method with Imprecise Information for Multicriteria Decision-Making. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1207011
Modern Language Association (MLA)
Wang, Haichao…[et al.]. Complementary Judgment Matrix Method with Imprecise Information for Multicriteria Decision-Making. Mathematical Problems in Engineering No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1207011
American Medical Association (AMA)
Wang, Haichao& Lahdelma, Risto& Salminen, Pekka. Complementary Judgment Matrix Method with Imprecise Information for Multicriteria Decision-Making. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1207011
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207011