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A rationale for unanimity in committees
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In: SP II 2017-308 ; Discussion Papers / Wissenschaftszentrum Berlin für Sozialforschung, Forschungsschwerpunkt Markt und Entscheidung, Abteilung Ökonomik des Wandels ; 41 (2020)
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Dealing with Incomplete Information in Linguistic Group Decision Making by Means of Interval Type-2 Fuzzy Sets
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Green Supplier Evaluation and Selection with an Extended MABAC Method Under the Heterogeneous Information Environment
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In: Sustainability ; Volume 11 ; Issue 23 (2019)
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Characterisation of the consistent completion of AHP comparison matrices using graph theory
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Abstract:
[EN] Decision-making is frequently affected by uncertainty and/or incomplete information, which turn decision-making into a complex task. It is often the case that some of the actors involved in decision-making are not sufficiently familiar with all of the issues to make the appropriate decisions. In this paper, we are concerned about missing information. Specifically, we deal with the problem of consistently completing an analytic hierarchy process comparison matrix and make use of graph theory to characterize such a completion. The characterization includes the degree of freedom of the set of solutions and a linear manifold and, in particular, characterizes the uniqueness of the solution, a result already known in the literature, for which we provide a completely independent proof. Additionally, in the case of nonuniqueness, we reduce the problem to the solution of nonsingular linear systems. In addition to obtaining the priority vector, our investigation also focuses on building the complete pairwise comparison matrix, a crucial step in the necessary process (between synthetic consistency and personal judgement) with the experts. The performance of the obtained results is confirmed. ; Benítez López, J.; Carpitella, S.; Certa, A.; Izquierdo Sebastián, J. (2019). Characterisation of the consistent completion of AHP comparison matrices using graph theory. Journal of Multi-Criteria Decision Analysis. 26(1-2):3-15. https://doi.org/10.1002/mcda.1652 ; S ; 3 ; 15 ; 26 ; 1-2 ; Benítez, J., Carrión, L., Izquierdo, J., & Pérez-García, R. (2014). Characterization of Consistent Completion of Reciprocal Comparison Matrices. Abstract and Applied Analysis, 2014, 1-12. doi:10.1155/2014/349729 ; Benítez, J., Delgado-Galván, X., Gutiérrez, J. A., & Izquierdo, J. (2011). Balancing consistency and expert judgment in AHP. 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Applied Mathematics and Computation, 290, 392-411. doi:10.1016/j.amc.2016.05.041 ; Hsu, W.-K. K., Huang, S.-H. S., & Tseng, W.-J. (2016). Evaluating the risk of operational safety for dangerous goods in airfreights – A revised risk matrix based on fuzzy AHP. Transportation Research Part D: Transport and Environment, 48, 235-247. doi:10.1016/j.trd.2016.08.018 ; Hua, Z., Gong, B., & Xu, X. (2008). A DS–AHP approach for multi-attribute decision making problem with incomplete information. Expert Systems with Applications, 34(3), 2221-2227. doi:10.1016/j.eswa.2007.02.021 ; Karanik, M., Wanderer, L., Gomez-Ruiz, J. A., & Pelaez, J. I. (2016). Reconstruction methods for AHP pairwise matrices: How reliable are they? Applied Mathematics and Computation, 279, 103-124. doi:10.1016/j.amc.2016.01.008 ; Kubler, S., Robert, J., Derigent, W., Voisin, A., & Le Traon, Y. (2016). A state-of the-art survey & testbed of fuzzy AHP (FAHP) applications. 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Keyword:
AHP; Decision-making; Graph theory; Incomplete information; Layout reorganization; MATEMATICA APLICADA
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URL: http://hdl.handle.net/10251/139462
https://doi.org/10.1002/mcda.1652
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Trust Based Consensus Model for Social Network in an Incomplete Linguistic Information Context
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Managing the consensus in group decision making in an unbalanced fuzzy linguistic context with incomplete information
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A Selection Process Based on Additive Consistency to Deal with Incomplete Fuzzy Linguistic Information
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Une application de jeux génériques pour les jeux symboliques ; A general gaming engine for symbolic games
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Group decision-making with incomplete fuzzy linguistic preference relations
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| 10 |
A Consistency Based Procedure to Estimate Missing Pairwise Preference Values
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In: http://decsai.ugr.es/~viedma/papers/cbp07.pdf (2004)
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| 11 |
Party Competition in a heterogeneous electorate – the role of dominant-issue-voters
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Bischoff, Ivo. - : Justus-Liebig-Universität Gießen, 2003. : FB 02 - Wirtschaftswissenschaften. Wirtschaftswissenschaften, 2003
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Party competition in a heterogeneous electorate – the role of dominant-issue-voters
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Bischoff, Ivo. - : Gießen: Justus-Liebig-Universität Gießen, Fachbereich Wirtschaftswissenschaften, 2003
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Towards an Alternative Description of Incomplete Sentences in Agglutinative Languages
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Ido, Shinji Ido. - : The University of Sydney, 2001. : School of Asian Studies-Japanese, 2001. : Faculty of Arts, 2001
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Argumentation-Based Preference Modelling with Incomplete Information
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In: http://mmi.tudelft.nl/pub/wietske/climapapercrc2.pdf
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A Linguistic Approach to Games with Communication
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In: http://paula.univ.gda.pl/~matwj/papers/games.ps.gz
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A Decision Aid System to Provide Consistent Linguistic Preference Relations
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In: http://sci2s.ugr.es/publications/ficheros/C10.pdf
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