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Multi-expert decisions and interactive preference aggregation

The central research domain regards the mathematical foundations of preference representation and aggregation. In the theory of aggregation functions, our investigation concerns particularly generalized mean aggregation and Choquet integration, with a focus on the interactive structure of the aggregation scheme.

The applications are mainly in: (1) multicriteria decision models, for instance the AHP; (2) welfare measures and inequality indices, particularly the generalized Gini family, and poverty measures; (3) multidistances, measures of dissensus, and consensus models.

Responsabile: Ricardo Alberto Marques Pereira

Membri Area di ricerca
Silvia Bortot

Metodi Matematici dell'Economia e delle Scienze Attuariali e Finanziarie

settore scientifico-disciplinare SECS-S/06

Statistica e Metodi Matematici per la Decisioni, macrosettore 13/D4

Nino Civolani
Ricardo Alberto Marques Pereira
Franco Molinari
Alcune pubblicazioni recenti
  • O. Aristondo, J. L. García Lapresta, C. Lasso de la Vega, R. A. Marques Pereira, "Classical inequality indices, welfare and illfare functions, and the dual decomposition" in FUZZY SETS AND SYSTEMS, v. 228, (2013), p. 114-136.
  • O. Aristondo, J. L. García Lapresta, C. Lasso de la Vega, R. A. Marques Pereira, "The Gini index, the dual decomposition of aggregation functions, and the consistent measurement of inequality" in INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, v. 27, n. 2 (2012), p. 132-152.
  • O. Aristondo, J. L. García Lapresta, C. Lasso de la Vega, R. A. Marques Pereira , "Classical inequality indices, welfare and illfare functions, and the dual decomposition" in ECINEQ Working Papers, n. 235 (2012).
  • A. Bonetti, S. Bortot, M. Fedrizzi, R. A. Marques Pereira, A. Molinari, "Modelling group processes and effort estimation in project management using the Choquet integral: An MCDM approach" in EXPERT SYSTEMS WITH APPLICATIONS, v. 39, n. 18 (2012), p. 13366-13375.
  • S. Bortot, R. A. Marques Pereira, "Inconsistency and non-additive capacities: The Analytic Hierarchy Process in the framework of Choquet integration" in FUZZY SETS AND SYSTEMS, v. 213, (2013), p. 6-26.
  • S. Bortot, M. Fedrizzi, "Medical decision making as a group choice process: consensual dynamics in fuzzy diagnosis" in Rudolf Seising, Marco Tabacchi (eds.), Fuzziness and Medicine: Philosophical Reflections and Application Systems in Health Care, Heidelberg: Springer, 2013, p. 313-322 (Studies in Fuzziness and Soft Computing 302).
  • S. Bortot, R. A. Marques Pereira, "The generalized Gini welfare function in the framework of symmetric Choquet integration" in Aldo Ventre, Antonio Maturo, Šarka Hošková-Mayerová, Janusz Kacprzyk (eds.), Multicriteria and Multiagent Decision Making with Applications to Economic and Social Sciences, Heidelberg: Springer, 2013, p. 15-26 (Studies in Fuzziness and Soft Computing 305).
  • S. Bortot, R. A. Marques Pereira, "The binomial Gini inequality indices and the binomial decomposition of welfare functions" in ECINEQ Working Papers, n. 305 (2013).
  • S. Bortot, R. A. Marques Pereira, "Choquet integration and the AHP: inconsistency and non-additivity" in S. Greco, B. Bouchon-Meunier, G. Coletti, M. Fedrizzi, B. Matarazzo (eds.), Advances in Computational Intelligence, Heidelberg: Springer-Verlag, 2012, p. 188-197  (Communications in Computer and Information Science 300).
  • S. Bortot, M. Fedrizzi, S. Giove, "Modelling fraud detection by attack trees and Choquet integral" in ADVANCES IN FUZZY SETS AND SYSTEMS, v. 9, n. 2 (2011), p. 137-165.
  • M. Brunelli, M. Fedrizzi, M. Fedrizzi, F. Molinari, "On some connections between multidistances and valued m-ary adjacency relations" in S. Greco, B. Bouchon-Meunier, G. Coletti, M. Fedrizzi, B. Matarazzo (eds.), Advances in Computational Intelligence, Heidelberg: Springer-Verlag, 2012, p. 201-207  (Communications in Computer and Information Science 297).
  • C. Coelho, P. Serra, R. A. Ribeiro, R. A. Marques Pereira, A. Dietz, A. Donati, "Fuzzy alarm system for laser gyroscopes degradation" in INTELLIGENT AUTOMATION AND SOFT COMPUTING, v. 14, n. 3 (2008), p. 351-366.
  • M. Fedrizzi, M. Fedrizzi, R. A. Marques Pereira, "Consensus modelling in group decision making: a dynamical approach based on Zadeh’s fuzzy preferences" in Rudolf Seising, E. Trillas, C. Moraga, S.Termini (eds.), On Fuzziness (Homage to Lotfi A. Zadeh), Heidelberg: Springer, 2013, p. 165-170 (Studies in Fuzziness and Soft Computing 298).
  • M.Fedrizzi, N. Civolani, A. Critch, "Inconsistency evaluation in preference relations: a characterization based on metrics induced by a norm" in Proc. Olomoucian Days of Applied Mathematics ODAM2013, Palacky University in Olomouc, Czech Republic, 2013, p. 20-20. - ISBN: 978-80-244-3513-8.
  • M. Fedrizzi, M. Fedrizzi, R. A. Marques Pereira, M. Brunelli "The dynamics of consensus in group decision making: investigating the pairwise interactions between fuzzy preferences" in S. Greco, R. A. Marques Pereira, M. Squillante, R. R. Yager, J. Kacprzyk (eds.), Preferences and Decisions: Models and Applications, Heidelberg: Springer, 2010, p. 159-182. - (Studies in Fuzziness and Soft Computing 257).
  • M. Fedrizzi, M. Fedrizzi, R. A. Marques Pereira"Consensus modelling in group decision making: a dynamical approach based on Zadeh’s fuzzy preferences" in Rudolf Seising, E. Trillas, C. Moraga, S.Termini (eds.), On Fuzziness (Homage to Lotfi A. Zadeh), Heidelberg: Springer, 2013, p. 165-170 (Studies in Fuzziness and Soft Computing 298).
  • M. Fedrizzi, M. Fedrizzi, R. A. Marques Pereira, "Soft consensus and network dynamics in group decision making" in INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, v. 14, n. 1 (1999), p. 63-77.
  • J. L. García Lapresta, C. Lasso de la Vega, R. A. Marques Pereira, A. M. Urrutia, "A class of poverty measures induced by the dual decomposition of aggregation functions" in INTERNATIONAL JOURNAL OF UNCERTAINTY, FUZZINESS AND KNOWLEDGE BASED SYSTEMS, v. 18, n. 4 (2010), p. 493-511.
  • J. L. García Lapresta, R. A. Marques Pereira, "The self-dual core and the anti-self-dual remainder of an aggregation operator" in FUZZY SETS AND SYSTEMS, v. 159, n. 1 (2008), p. 47-62.
  • S. Greco, R. A. Marques Pereira, M. Squillante, R. R. Yager, J. Kacprzyk (eds.), "Preferences and Decisions: Models and Applications", Heidelberg: Springer, 2010 (Studies in Fuzziness and Soft Computing 257).
  • B. Llamazares, R. A. Marques Pereira, "Majority rules generated by mixture operators" in B. Bouchon Meunier, L. Magdalena, M. Ojeda Aciego, J. L. Verdegay, R. R. Yager (eds.), Foundations of Reasoning under Uncertainty, Heidelberg: Springer, 2010, p. 189-201 (Studies in Fuzziness and Soft Computing 249).
  • R. A. Marques Pereira, R. A. Ribeiro, P. Serra, "Rule correlation and Choquet integration in fuzzy inference systems" in INTERNATIONAL JOURNAL OF UNCERTAINTY, FUZZINESS AND KNOWLEDGE BASED SYSTEMS, v. 16, n. 5 (2008), p. 601-626.
  • R. A. Marques Pereira, A. Molinari, G. Pasi, "Contextual weighted representations and indexing models for the retrieval of HTML documents" in SOFT COMPUTING, v. 9, n. 7 (2005), p. 481-492.
  • R. A. Marques Pereira, R. A. Ribeiro, "Aggregation with generalized mixture operators using weighting functions" in FUZZY SETS AND SYSTEMS, v. 137, n. 1 (2003), p. 43-58.
  • F. Molinari, "A note on regular multi-distances between fuzzy numbers" in ADVANCES IN FUZZY SETS AND SYSTEMS, v. 15, (2013), p. 85-94.
  • F. Molinari, "A regular multidistance among fuzzy numbers" Trento: Università degli Studi di Trento. Dipartimento di Economia e Management, , 2013, 7 p. - (DEM DISCUSSION PAPERS; 2013/01).
  • F. Molinari, "About a New Family of Multidistances" in FUZZY SETS AND SYSTEMS, v. 195, (2012), p. 118-122.
  • R. A. Ribeiro, R. A. Marques Pereira, "Generalized mixture operators using weighting functions: a comparative study with WA and OWA" in EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, v. 145, n. 2 (2003), p. 329-342.