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A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid

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  1. Mayag, Brice & Bouyssou, Denis, 2020. "Necessary and possible interaction between criteria in a 2-additive Choquet integral model," European Journal of Operational Research, Elsevier, vol. 283(1), pages 308-320.
  2. Kolesárová, Anna & Li, Jun & Mesiar, Radko, 2018. "k-additive aggregation functions and their characterization," European Journal of Operational Research, Elsevier, vol. 265(3), pages 985-992.
  3. Brice Mayag & Michel Grabisch & Christophe Labreuche, 2009. "A characterization of the 2-additive Choquet integral through cardinal information," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00445132, HAL.
  4. Michel Grabisch, 2015. "Fuzzy Measures and Integrals: Recent Developments," Post-Print hal-01302377, HAL.
  5. Michel Grabisch & Christophe Labreuche, 2015. "On the decomposition of Generalized Additive Independence models," Documents de travail du Centre d'Economie de la Sorbonne 15064, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  6. Mustapha Ridaoui & Michel Grabisch & Christophe Labreuche, 2017. "Axiomatization of an importance index for Generalized Additive Independence models," Post-Print halshs-01659796, HAL.
  7. Luca Anzilli & Silvio Giove, 2020. "Multi-criteria and medical diagnosis for application to health insurance systems: a general approach through non-additive measures," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 559-582, December.
  8. Zsolt Bihary & Péter Csóka & Dávid Zoltán Szabó, 2020. "Spectral risk measure of holding stocks in the long run," Annals of Operations Research, Springer, vol. 295(1), pages 75-89, December.
  9. Leo Liberti & Thierry Marchant & Silvano Martello, 2013. "Eleven surveys in operations research: III," Annals of Operations Research, Springer, vol. 204(1), pages 3-9, April.
  10. Cinelli, Marco & Kadziński, Miłosz & Gonzalez, Michael & Słowiński, Roman, 2020. "How to support the application of multiple criteria decision analysis? Let us start with a comprehensive taxonomy," Omega, Elsevier, vol. 96(C).
  11. Fernando A. F. Ferreira & Sérgio P. Santos, 2021. "Two decades on the MACBETH approach: a bibliometric analysis," Annals of Operations Research, Springer, vol. 296(1), pages 901-925, January.
  12. GRABISCH, Michel & LABREUCHE, Christophe & RIDAOUI, Mustapha, 2019. "On importance indices in multicriteria decision making," European Journal of Operational Research, Elsevier, vol. 277(1), pages 269-283.
  13. Paul Alain Kaldjob Kaldjob & Brice Mayag & Denis Bouyssou, 2023. "On the interpretation of the interaction index between criteria in a Choquet integral model," Post-Print hal-03766372, HAL.
  14. Mustapha Ridaoui & Michel Grabisch & Christophe Labreuche, 2019. "Interaction indices for multichoice games," Documents de travail du Centre d'Economie de la Sorbonne 19019, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  15. Christophe Labreuche, 2018. "An axiomatization of the Choquet integral in the context of multiple criteria decision making without any commensurability assumption," Annals of Operations Research, Springer, vol. 271(2), pages 701-735, December.
  16. Michel Grabisch & Christophe Labreuche, 2010. "A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid," Annals of Operations Research, Springer, vol. 175(1), pages 247-286, March.
  17. Corrente, Salvatore & Greco, Salvatore & Ishizaka, Alessio, 2016. "Combining analytical hierarchy process and Choquet integral within non-additive robust ordinal regression," Omega, Elsevier, vol. 61(C), pages 2-18.
  18. Christophe Labreuche & Michel Grabisch, 2016. "A comparison of the GAI model and the Choquet integral with respect to a k-ary capacity," Documents de travail du Centre d'Economie de la Sorbonne 16004, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  19. Volker Kuppelwieser & Fouad Ben Abdelaziz & Olfa Meddeb, 2020. "Unstable interactions in customers’ decision making: an experimental proof," Annals of Operations Research, Springer, vol. 294(1), pages 479-499, November.
  20. Ulrich Faigle & Michel Grabisch, 2011. "A Discrete Choquet Integral for Ordered Systems," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00563926, HAL.
  21. Jun-Jie Dong & Jian-Zhang Wu & Endre Pap & Aniko Szakal, 2017. "A Choquet Capacity and Integral Based Method to Identify the Overall Importance of Engineering Characteristics in Quality Function Deployment," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 51(4), pages 297-314.
  22. Paugam, Luc, 2011. "Valorisation et reporting du goodwill : enjeux théoriques et empiriques," Economics Thesis from University Paris Dauphine, Paris Dauphine University, number 123456789/8007 edited by Casta, Jean-François.
  23. Michel Grabisch & Christophe Labreuche, 2016. "A note on the Sobol' indices and interactive criteria," Documents de travail du Centre d'Economie de la Sorbonne 16003, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  24. Labreuche, Christophe & Grabisch, Michel, 2018. "Using multiple reference levels in Multi-Criteria Decision aid: The Generalized-Additive Independence model and the Choquet integral approaches," European Journal of Operational Research, Elsevier, vol. 267(2), pages 598-611.
  25. Adil Baykasoğlu & İlker Gölcük & Derya Eren Akyol, 2017. "A fuzzy multiple-attribute decision making model to evaluate new product pricing strategies," Annals of Operations Research, Springer, vol. 251(1), pages 205-242, April.
  26. LeSheng Jin & Radko Mesiar & Martin Kalina & Ronald R. Yager, 2020. "Canonical form of ordered weighted averaging operators," Annals of Operations Research, Springer, vol. 295(2), pages 605-631, December.
  27. Michel Grabisch, 2015. "Bases and transforms of set functions," Post-Print halshs-01169287, HAL.
  28. Silvia Angilella & Marta Bottero & Salvatore Corrente & Valentina Ferretti & Salvatore Greco & Isabella M. Lami, 2016. "Non Additive Robust Ordinal Regression for urban and territorial planning: an application for siting an urban waste landfill," Annals of Operations Research, Springer, vol. 245(1), pages 427-456, October.
  29. Mikhail Timonin, 2016. "Conjoint axiomatization of the Choquet integral for heterogeneous product sets," Papers 1603.08142, arXiv.org.
  30. Hamzeh Agahi, 2020. "On fractional continuous weighted OWA (FCWOWA) operator with applications," Annals of Operations Research, Springer, vol. 287(1), pages 1-10, April.
  31. Grabisch, Michel & Labreuche, Christophe, 2018. "Monotone decomposition of 2-additive Generalized Additive Independence models," Mathematical Social Sciences, Elsevier, vol. 92(C), pages 64-73.
  32. Sébastien Destercke, 2017. "On the median in imprecise ordinal problems," Annals of Operations Research, Springer, vol. 256(2), pages 375-392, September.
  33. Mikhail Timonin, 2015. "Axiomatization of the Choquet integral for 2-dimensional heterogeneous product sets," Papers 1507.04167, arXiv.org, revised Mar 2016.
  34. Yaarit Even & Ehud Lehrer, 2014. "Decomposition-integral: unifying Choquet and the concave integrals," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 33-58, May.
  35. Jian-Zhang Wu & Yi-Ping Zhou & Li Huang & Jun-Jie Dong, 2019. "Multicriteria Correlation Preference Information (MCCPI)-Based Ordinary Capacity Identification Method," Mathematics, MDPI, vol. 7(3), pages 1-13, March.
  36. Jie Wu & Liang Liang, 2012. "A multiple criteria ranking method based on game cross-evaluation approach," Annals of Operations Research, Springer, vol. 197(1), pages 191-200, August.
  37. Michel Grabisch, 2016. "Rejoinder on: Remarkable polyhedra related to set functions, games and capacities," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(2), pages 335-337, July.
  38. Giovanni Bertin & Ludovico Carrino & Silvio Giove, 2018. "The Italian Regional Well-Being in a Multi-expert Non-additive Perspective," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 135(1), pages 15-51, January.
  39. Zhou, Jing & Liu, Yu & Liang, Decui & Tang, Maochun, 2023. "A new risk analysis approach to seek best production action during new product introduction," International Journal of Production Economics, Elsevier, vol. 262(C).
  40. Silvia Bortot & Ricardo Alberto Marques Pereira & Thuy H. Nguyen, 2015. "Welfare functions and inequality indices in the binomial decomposition of OWA functions," DEM Discussion Papers 2015/08, Department of Economics and Management.
  41. Bergantiños, Gustavo & Gómez-Rúa, María & Llorca, Natividad & Pulido, Manuel & Sánchez-Soriano, Joaquín, 2020. "Allocating costs in set covering problems," European Journal of Operational Research, Elsevier, vol. 284(3), pages 1074-1087.
  42. Brice Mayag & Michel Grabisch & Christophe Labreuche, 2011. "A representation of preferences by the Choquet integral with respect to a 2-additive capacity," Theory and Decision, Springer, vol. 71(3), pages 297-324, September.
  43. Denis Bouyssou & Silvano Martello & Frank Plastria, 2010. "Eleven surveys in operations research: II," Annals of Operations Research, Springer, vol. 175(1), pages 3-8, March.
  44. Ferreira, João J.M. & Jalali, Marjan S. & Ferreira, Fernando A.F., 2018. "Enhancing the decision-making virtuous cycle of ethical banking practices using the Choquet integral," Journal of Business Research, Elsevier, vol. 88(C), pages 492-497.
  45. Yves Crama & Michel Grabisch & Silvano Martello, 2018. "Surveys in operations research," Annals of Operations Research, Springer, vol. 271(1), pages 3-10, December.
  46. Krueger, Rico & Daziano, Ricardo A., 2022. "Stated choice analysis of preferences for COVID-19 vaccines using the Choquet integral," Journal of choice modelling, Elsevier, vol. 45(C).
  47. Luiz Gomes & Maria Machado & Luis Rangel, 2013. "Behavioral multi-criteria decision analysis: the TODIM method with criteria interactions," Annals of Operations Research, Springer, vol. 211(1), pages 531-548, December.
  48. Ramiro Sanchez-Lopez & Carlos Bana e Costa & Bernard Baets, 2012. "The MACBETH approach for multi-criteria evaluation of development projects on cross-cutting issues," Annals of Operations Research, Springer, vol. 199(1), pages 393-408, October.
  49. Li Huang & Jian-Zhang Wu & Rui-Jie Xi, 2020. "Nonadditivity Index Based Quasi-Random Generation of Capacities and Its Application in Comprehensive Decision Aiding," Mathematics, MDPI, vol. 8(2), pages 1-14, February.
  50. Alessio Bonetti & Silvia Bortot & Mario Fedrizzi & Silvio Giove & Ricardo Alberto Marques Pereira & Andrea Molinari, 2011. "Modelling group processes and effort estimation in Project Management using the Choquet integral: an MCDM approach," DISA Working Papers 2011/12, Department of Computer and Management Sciences, University of Trento, Italy, revised Sep 2011.
  51. Silvia Bortot & Mario Fedrizzi & Silvio Giove, 2011. "Modelling fraud detection by attack trees and Choquet integral," DISA Working Papers 2011/09, Department of Computer and Management Sciences, University of Trento, Italy, revised 31 Aug 2011.
  52. Zhang, Ling & Zhang, Luping & Zhou, Peng & Zhou, Dequn, 2015. "A non-additive multiple criteria analysis method for evaluation of airline service quality," Journal of Air Transport Management, Elsevier, vol. 47(C), pages 154-161.
  53. Sara Favargiotti & Giulia Zantedeschi & Angelica Pianegonda & Matteo Brunelli & Michele Urbani, 2024. "Designing Food Hubs for Territories of Proximity: Assessing the Spatial, Ecological, and Cultural Potentials of Places through Multi-Criteria Decision Support Systems," Land, MDPI, vol. 13(8), pages 1-24, July.
  54. Salvatore Corrente & Michael Doumpos & Salvatore Greco & Roman Słowiński & Constantin Zopounidis, 2017. "Multiple criteria hierarchy process for sorting problems based on ordinal regression with additive value functions," Annals of Operations Research, Springer, vol. 251(1), pages 117-139, April.
  55. Milad Moradi & Mahmoud Reza Delavar & Behzad Moshiri, 2017. "A GIS-based multi-criteria analysis model for earthquake vulnerability assessment using Choquet integral and game theory," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 87(3), pages 1377-1398, July.
  56. Bana e Costa, Carlos A. & Carnero, María Carmen & Oliveira, Mónica Duarte, 2012. "A multi-criteria model for auditing a Predictive Maintenance Programme," European Journal of Operational Research, Elsevier, vol. 217(2), pages 381-393.
  57. Jean-François Casta & Luc Paugam & Hervé Stolowy, 2011. "Non-additivity in accounting valuation: Internally generated goodwill as an aggregation of interacting assets," Post-Print halshs-00541525, HAL.
  58. Salvatore Corrente & José Figueira & Salvatore Greco, 2014. "Dealing with interaction between bipolar multiple criteria preferences in PROMETHEE methods," Annals of Operations Research, Springer, vol. 217(1), pages 137-164, June.
  59. Hong-Bin Yan & Tieju Ma & Songsak Sriboonchitta & Van-Nam Huynh, 2017. "A stochastic dominance based approach to consumer-oriented Kansei evaluation with multiple priorities," Annals of Operations Research, Springer, vol. 256(2), pages 329-357, September.
  60. Amit Kothiyal & Vitalie Spinu & Peter Wakker, 2014. "An experimental test of prospect theory for predicting choice under ambiguity," Journal of Risk and Uncertainty, Springer, vol. 48(1), pages 1-17, February.
  61. Zhao Qiaojiao & Zeng Ling & Liu Jinjin, 2016. "Fuzzy Integral Multiple Criteria Decision Making Method Based on Fuzzy Preference Relation on Alternatives," Journal of Systems Science and Information, De Gruyter, vol. 4(3), pages 280-290, June.
  62. Leo Liberti & Thierry Marchant & Silvano Martello, 2016. "Twelve surveys in operations research," Annals of Operations Research, Springer, vol. 240(1), pages 3-11, May.
  63. Silvia Bortot & Ricardo Alberto Marques Pereira & Anastasia Stamatopoulou, 2020. "Shapley and superShapley aggregation emerging from consensus dynamics in the multicriteria Choquet framework," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 583-611, December.
  64. Mehmet Pinar, 2022. "Choquet-Integral Aggregation Method to Aggregate Social Indicators to Account for Interactions: An Application to the Human Development Index," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 159(1), pages 1-53, January.
  65. Bottero, M. & Ferretti, V. & Figueira, J.R. & Greco, S. & Roy, B., 2018. "On the Choquet multiple criteria preference aggregation model: Theoretical and practical insights from a real-world application," European Journal of Operational Research, Elsevier, vol. 271(1), pages 120-140.
  66. Dubey, Subodh & Cats, Oded & Hoogendoorn, Serge & Bansal, Prateek, 2022. "A multinomial probit model with Choquet integral and attribute cut-offs," Transportation Research Part B: Methodological, Elsevier, vol. 158(C), pages 140-163.
  67. Francesco Tajani & Maria Rosaria Guarini & Francesco Sica & Rossana Ranieri & Debora Anelli, 2022. "Multi-Criteria Analysis and Sustainable Accounting. Defining Indices of Sustainability under Choquet’s Integral," Sustainability, MDPI, vol. 14(5), pages 1-15, February.
  68. Michel Grabisch & Christophe Labreuche, 2019. "Interpretation of multicriteria decision making models with interacting criteria," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02381243, HAL.
  69. Michel Grabisch, 2008. "How to score alternatives when criteria are scored on an ordinal scale," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00340381, HAL.
  70. Grechi, Isabelle & Ould-Sidi, Mohamed-Mahmoud & Hilgert, Nadine & Senoussi, Rachid & Sauphanor, Benoît & Lescourret, Françoise, 2012. "Designing integrated management scenarios using simulation-based and multi-objective optimization: Application to the peach tree–Myzus persicae aphid system," Ecological Modelling, Elsevier, vol. 246(C), pages 47-59.
  71. Liang Cui & Ye Xu & Ling Xu & Guohe Huang, 2021. "Wind Farm Location Special Optimization Based on Grid GIS and Choquet Fuzzy Integral Method in Dalian City, China," Energies, MDPI, vol. 14(9), pages 1-13, April.
  72. Angilella, Silvia & Corrente, Salvatore & Greco, Salvatore, 2015. "Stochastic multiobjective acceptability analysis for the Choquet integral preference model and the scale construction problem," European Journal of Operational Research, Elsevier, vol. 240(1), pages 172-182.
  73. Jian-Zhang Wu & Feng-Feng Chen & Yan-Qing Li & Li Huang, 2020. "Capacity Random Forest for Correlative Multiple Criteria Decision Pattern Learning," Mathematics, MDPI, vol. 8(8), pages 1-15, August.
  74. Dávid Zoltán Szabó & Zsolt Bihary, 2023. "The riskiness of stock versus money market investment with stochastic rates," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(2), pages 393-415, June.
  75. Bonifacio Llamazares, 2019. "An Analysis of Winsorized Weighted Means," Group Decision and Negotiation, Springer, vol. 28(5), pages 907-933, October.
  76. Zhang, Ling & Zhou, Peng & Newton, Sidney & Fang, Jian-xin & Zhou, De-qun & Zhang, Lu-ping, 2015. "Evaluating clean energy alternatives for Jiangsu, China: An improved multi-criteria decision making method," Energy, Elsevier, vol. 90(P1), pages 953-964.
  77. Sébastien Courtin & Rodrigue Tido Takeng & Frédéric Chantreuil, 2020. "Decomposition of interaction indices: alternative interpretations of cardinal-probabilistic interaction indices ," Working Papers hal-02952516, HAL.
  78. Yves Crama & Michel Grabisch & Silvano Martello, 2022. "Sixty-one surveys in operations research," Annals of Operations Research, Springer, vol. 314(1), pages 5-13, July.
  79. Hung Nguyen & Uyen Pham & Hien Tran, 2012. "On some claims related to Choquet integral risk measures," Annals of Operations Research, Springer, vol. 195(1), pages 5-31, May.
  80. Tavana, Madjid & Mina, Hassan & Santos-Arteaga, Francisco J., 2023. "A general Best-Worst method considering interdependency with application to innovation and technology assessment at NASA," Journal of Business Research, Elsevier, vol. 154(C).
  81. Beliakov, Gleb, 2022. "Knapsack problems with dependencies through non-additive measures and Choquet integral," European Journal of Operational Research, Elsevier, vol. 301(1), pages 277-286.
  82. Paul Alain Kaldjob Kaldjob & Brice Mayag & Denis Bouyssou, 2022. "On the robustness of the sign of nonadditivity index in a Choquet integral model," Post-Print hal-03904424, HAL.
  83. Mikhail Timonin, 2012. "Maximization of the Choquet integral over a convex set and its application to resource allocation problems," Annals of Operations Research, Springer, vol. 196(1), pages 543-579, July.
  84. Peter Reichert & Klemens Niederberger & Peter Rey & Urs Helg & Susanne Haertel-Borer, 2019. "The need for unconventional value aggregation techniques: experiences from eliciting stakeholder preferences in environmental management," EURO Journal on Decision Processes, Springer;EURO - The Association of European Operational Research Societies, vol. 7(3), pages 197-219, November.
  85. Bilbao-Terol, Amelia & Bilbao-Terol, Celia, 2024. "The Choquet integral supported by a hedonic approach for modelling preferences in hotel selection," Omega, Elsevier, vol. 122(C).
  86. Anath Rau Krishnan & Siti Nur Aqilah & Maznah Mat Kasim & Engku Muhammad Nazri & Abdul Kamal Char, 2017. "A revised procedure to identify λ 0-measure values for applying Choquet integral in solving multi-attribute decision problems," OPSEARCH, Springer;Operational Research Society of India, vol. 54(3), pages 637-650, September.
  87. Mikhail Timonin, 2016. "Choquet integral in decision analysis - lessons from the axiomatization," Papers 1611.09926, arXiv.org.
  88. Cinelli, Marco & Kadziński, Miłosz & Miebs, Grzegorz & Gonzalez, Michael & Słowiński, Roman, 2022. "Recommending multiple criteria decision analysis methods with a new taxonomy-based decision support system," European Journal of Operational Research, Elsevier, vol. 302(2), pages 633-651.
  89. Michel Grabisch, 2016. "Rejoinder on: Remarkable polyhedra related to set functions, games and capacities," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(2), pages 335-337, July.
  90. Kadaifci, Cigdem & Asan, Umut & Bozdag, Erhan, 2020. "A new 2-additive Choquet integral based approach to qualitative cross-impact analysis considering interaction effects," Technological Forecasting and Social Change, Elsevier, vol. 158(C).
  91. Yasuo Narukawa & Vicenç Torra & Michio Sugeno, 2016. "Choquet integral with respect to a symmetric fuzzy measure of a function on the real line," Annals of Operations Research, Springer, vol. 244(2), pages 571-581, September.
  92. Haag, Fridolin & Lienert, Judit & Schuwirth, Nele & Reichert, Peter, 2019. "Identifying non-additive multi-attribute value functions based on uncertain indifference statements," Omega, Elsevier, vol. 85(C), pages 49-67.
  93. L. A. Shah & A. Etienne & A. Siadat & F. Vernadat, 2016. "Decision-making in the manufacturing environment using a value-risk graph," Journal of Intelligent Manufacturing, Springer, vol. 27(3), pages 617-630, June.
  94. Yongzheng Zhang & Chunming Ye & Xiuli Geng, 2022. "A Hesitant Fuzzy Method for Evaluating Risky Cold Chain Suppliers Based on an Improved TODIM," Sustainability, MDPI, vol. 14(16), pages 1-23, August.
  95. Silvia Bortot & Ricardo Alberto Marques Pereira, 2011. "Inconsistency and non-additive Choquet integration in the Analytic Hierarchy Process," DISA Working Papers 2011/06, Department of Computer and Management Sciences, University of Trento, Italy, revised 29 Jul 2011.
  96. F. Beaudouin, 2015. "Implementing a Multiple Criteria Model to Debate About Nuclear Power Plants Safety Choices," Group Decision and Negotiation, Springer, vol. 24(6), pages 1035-1063, November.
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