Knapsack problems with dependencies through non-additive measures and Choquet integral
In portfolio selection problems the items often depend on each other, and their synergies and redundancies need to be taken into account. We consider the knapsack problem in which the objective is modelled as the Choquet integral with respect to a supermodular capacity which quantifies possible syne...
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| Published in: | European journal of operational research Vol. 301; no. 1; pp. 277 - 286 |
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| Format: | Journal Article |
| Language: | English |
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Elsevier B.V
16.08.2022
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| ISSN: | 0377-2217, 1872-6860 |
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| Abstract | In portfolio selection problems the items often depend on each other, and their synergies and redundancies need to be taken into account. We consider the knapsack problem in which the objective is modelled as the Choquet integral with respect to a supermodular capacity which quantifies possible synergies. We provide various formulations which lead to the standard linear mixed integer programs, applicable to small and large portfolios. We also study scalability of the solution methods and compare large problems defined with respect to 2-additive capacities which model pairwise interactions, and linear knapsack with respect to the Shapley values of these capacities. |
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| AbstractList | In portfolio selection problems the items often depend on each other, and their synergies and redundancies need to be taken into account. We consider the knapsack problem in which the objective is modelled as the Choquet integral with respect to a supermodular capacity which quantifies possible synergies. We provide various formulations which lead to the standard linear mixed integer programs, applicable to small and large portfolios. We also study scalability of the solution methods and compare large problems defined with respect to 2-additive capacities which model pairwise interactions, and linear knapsack with respect to the Shapley values of these capacities. |
| Author | Beliakov, Gleb |
| Author_xml | – sequence: 1 givenname: Gleb surname: Beliakov fullname: Beliakov, Gleb email: gleb@deakin.edu.au organization: School of Information Technology, Deakin University, 75 Pigdons Rd, Geelong 3216, Australia |
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| Cites_doi | 10.1007/BF01541028 10.1109/TFUZZ.2015.2403851 10.1016/j.orl.2020.06.001 10.1016/j.dam.2012.07.007 10.1016/0165-4896(89)90056-5 10.1007/s11238-010-9198-3 10.1016/j.ejor.2020.11.024 10.1007/s10700-010-9086-x 10.1016/S0165-0114(97)00168-1 10.1016/j.ejor.2009.10.015 10.1287/mnsc.18.5.64 10.1016/j.geb.2005.03.002 10.1016/j.eswa.2021.115636 10.1016/j.ejor.2019.10.005 10.1007/s10479-012-1147-9 10.1016/j.fss.2010.10.012 10.1016/j.ejor.2010.11.027 10.1109/TFUZZ.2011.2123899 10.1002/int.22119 10.1016/j.ins.2021.07.032 10.1016/j.ejor.2020.07.040 10.1016/j.ejor.2018.04.022 10.1016/j.ejor.2007.02.025 10.1007/s12532-011-0026-8 10.1016/j.dam.2006.08.007 10.1016/j.procs.2015.08.421 10.1007/s10994-013-5365-4 10.1016/j.ejor.2014.05.022 10.1016/j.ins.2019.05.079 10.1016/j.ejor.2019.10.036 10.1016/j.omega.2015.07.003 10.1016/j.ins.2019.04.042 10.1007/s10479-009-0655-8 10.1287/ijoc.11.2.125 10.1016/j.ejor.2020.10.047 10.5802/aif.53 10.1016/j.artint.2017.02.001 10.1016/0167-8655(96)00020-7 10.1007/BFb0120892 10.1007/BF01589108 |
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| Keywords | Integer programming Fuzzy sets Fuzzy measures Shapley value Choquet integral Optimisation Capacities |
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| References | Klement, Mesiar, Pap (bib0035) 2000 Sugeno (bib0058) 1974 Siskos, Burgherr (bib0057) 2021 Caprara, Pisinger, Toth (bib0012) 1999; 11 Owen (bib0050) 1982 Wu, Zhang (bib0062) 2010; 9 Hart, Watson, Woodruff (bib0032) 2011; 3 Choquet (bib0014) 1953; 5 Olivier, Lodi, Pesant (bib0048) 2020 Greco, Mousseau, Słowiński (bib0030) 2014; 239 Shapley (bib0056) 1953; 2 Murofushi, Soneda (bib0047) 1993 Beliakov, Bustince, Calvo (bib0002) 2016 Rasmussen, Sandvik (bib0054) 2003 Grabisch (bib0024) 1996; 17 Beliakov, James, Li (bib0007) 2011; 19 Bottero, Ferretti, Figueira, Greco, Roy (bib0011) 2018; 271 package Grabisch (bib0026) 2016 Wu, Beliakov (bib0060) 2019; 34 Timonin (bib0059) 2012; 196 Yager, Alajlan (bib0064) 2015; 62 Pelegrina, Duarte, Grabisch, Romano (bib0052) 2020 . Beliakov, Divakov (bib0003) 2021 Galand, Perny, Spanjaard (bib0019) 2010 Hammer, Holzman (bib0031) 1992; 36 Magoc, Wang, Modave (bib0039) 2010; 25 Marichal, Mathonet (bib0041) 2011; 211 Owen (bib0049) 1972; 18 Grabisch, Labreuche (bib0028) 2010; 175 Beliakov, James (bib0006) 2021; 578 Corrente, Greco, Ishizaka (bib0016) 2016; 61 Grabisch, Rusinowska (bib0029) 2020; 48 Wu, Yang, Zhang, Ding (bib0061) 2015; 23 Zhou, Hao, Wu (bib0066) 2021 Benabbou, Perny, Viappiani (bib0010) 2017; 246 Gallo, Simeone (bib0023) 1989; 45 Schäfer, Dietz, Barbati, Figueira, Greco, Ruzika (bib0055) 2021; 289 Zhang, Li, Eres, Zheng (bib0065) 2021; 185 Hart, W. E., Watson, J.-P., & Woodruff, D. L. (2020). Kellerer, Pferschy, Pisinger (bib0034) 2004 Martin, Perny (bib0042) 2020 Beliakov, James (bib0005) 2021 Mayag, Grabisch, Labreuche (bib0044) 2011; 184 Grabisch, Kojadinovic, Meyer (bib0027) 2008; 186 Beliakov, Wu (bib0009) 2019; 494 Pisinger (bib0053) 2007; 155 Gallo, Hammer, Simeone (bib0022) 1980; 12 Galli, Martello, Rey, Toth (bib0021) 2021; 291 Beliakov, James, Wu (bib0008) 2019 Corrente, Greco, Kadziński, Słowiński (bib0017) 2013; 93 Fujimoto, Kojadinovic, Marichal (bib0018) 2006; 55 Pelegrina, Duarte, Grabisch, Romano (bib0051) 2020; 282 Grabisch (bib0025) 1997; 92 Galand, Perny, Spanjaard (bib0020) 2010; 204 Beliakov, Gagolewski, James (bib0004) 2021 Yager (bib0063) 2018 Arcidiacono, Corrente, Greco (bib0001) 2021; 292 Combarro, Hurtado de Saracho, Díaz (bib0015) 2019; 501 Chateauneuf, Jaffray (bib0013) 1989; 17 Miranda, García-Segador (bib0046) 2019 Marichal (bib0040) 2000 Lin (bib0037) 1998; 36 Mayag, Bouyssou (bib0043) 2019; 283 Mayag, Grabisch, Labreuche (bib0045) 2011; 71 Lovasz (bib0038) 1982 Lesca, Minoux, Perny (bib0036) 2013; 161 Mayag (10.1016/j.ejor.2021.11.004_bib0045) 2011; 71 Sugeno (10.1016/j.ejor.2021.11.004_bib0058) 1974 Beliakov (10.1016/j.ejor.2021.11.004_sbref0004) 2021 Miranda (10.1016/j.ejor.2021.11.004_bib0046) 2019 Galand (10.1016/j.ejor.2021.11.004_bib0019) 2010 Yager (10.1016/j.ejor.2021.11.004_bib0063) 2018 Beliakov (10.1016/j.ejor.2021.11.004_bib0009) 2019; 494 Grabisch (10.1016/j.ejor.2021.11.004_bib0025) 1997; 92 Hart (10.1016/j.ejor.2021.11.004_bib0032) 2011; 3 Lovasz (10.1016/j.ejor.2021.11.004_bib0038) 1982 Martin (10.1016/j.ejor.2021.11.004_bib0042) 2020 Gallo (10.1016/j.ejor.2021.11.004_bib0023) 1989; 45 Corrente (10.1016/j.ejor.2021.11.004_bib0017) 2013; 93 Greco (10.1016/j.ejor.2021.11.004_bib0030) 2014; 239 Shapley (10.1016/j.ejor.2021.11.004_bib0056) 1953; 2 Pelegrina (10.1016/j.ejor.2021.11.004_bib0052) 2020 Grabisch (10.1016/j.ejor.2021.11.004_bib0028) 2010; 175 Kellerer (10.1016/j.ejor.2021.11.004_bib0034) 2004 Corrente (10.1016/j.ejor.2021.11.004_bib0016) 2016; 61 Hammer (10.1016/j.ejor.2021.11.004_bib0031) 1992; 36 Mayag (10.1016/j.ejor.2021.11.004_bib0044) 2011; 184 Beliakov (10.1016/j.ejor.2021.11.004_bib0006) 2021; 578 Lesca (10.1016/j.ejor.2021.11.004_bib0036) 2013; 161 Beliakov (10.1016/j.ejor.2021.11.004_bib0002) 2016 Arcidiacono (10.1016/j.ejor.2021.11.004_bib0001) 2021; 292 Chateauneuf (10.1016/j.ejor.2021.11.004_bib0013) 1989; 17 Pelegrina (10.1016/j.ejor.2021.11.004_bib0051) 2020; 282 Zhou (10.1016/j.ejor.2021.11.004_sbref0066) 2021 Wu (10.1016/j.ejor.2021.11.004_bib0061) 2015; 23 Beliakov (10.1016/j.ejor.2021.11.004_bib0005) 2021 Marichal (10.1016/j.ejor.2021.11.004_bib0040) 2000 Mayag (10.1016/j.ejor.2021.11.004_bib0043) 2019; 283 Schäfer (10.1016/j.ejor.2021.11.004_bib0055) 2021; 289 Timonin (10.1016/j.ejor.2021.11.004_bib0059) 2012; 196 Caprara (10.1016/j.ejor.2021.11.004_bib0012) 1999; 11 Gallo (10.1016/j.ejor.2021.11.004_bib0022) 1980; 12 Owen (10.1016/j.ejor.2021.11.004_bib0049) 1972; 18 Beliakov (10.1016/j.ejor.2021.11.004_bib0007) 2011; 19 Grabisch (10.1016/j.ejor.2021.11.004_bib0024) 1996; 17 Grabisch (10.1016/j.ejor.2021.11.004_bib0027) 2008; 186 Murofushi (10.1016/j.ejor.2021.11.004_bib0047) 1993 Marichal (10.1016/j.ejor.2021.11.004_bib0041) 2011; 211 Zhang (10.1016/j.ejor.2021.11.004_bib0065) 2021; 185 Olivier (10.1016/j.ejor.2021.11.004_sbref0048) 2020 Combarro (10.1016/j.ejor.2021.11.004_bib0015) 2019; 501 Siskos (10.1016/j.ejor.2021.11.004_bib0057) 2021 Magoc (10.1016/j.ejor.2021.11.004_bib0039) 2010; 25 Galand (10.1016/j.ejor.2021.11.004_bib0020) 2010; 204 Owen (10.1016/j.ejor.2021.11.004_bib0050) 1982 Beliakov (10.1016/j.ejor.2021.11.004_sbref0003) 2021 Beliakov (10.1016/j.ejor.2021.11.004_bib0008) 2019 Bottero (10.1016/j.ejor.2021.11.004_bib0011) 2018; 271 Galli (10.1016/j.ejor.2021.11.004_bib0021) 2021; 291 Klement (10.1016/j.ejor.2021.11.004_bib0035) 2000 Pisinger (10.1016/j.ejor.2021.11.004_bib0053) 2007; 155 Grabisch (10.1016/j.ejor.2021.11.004_bib0026) 2016 Fujimoto (10.1016/j.ejor.2021.11.004_bib0018) 2006; 55 10.1016/j.ejor.2021.11.004_bib0033 Benabbou (10.1016/j.ejor.2021.11.004_bib0010) 2017; 246 Rasmussen (10.1016/j.ejor.2021.11.004_bib0054) 2003 Choquet (10.1016/j.ejor.2021.11.004_bib0014) 1953; 5 Yager (10.1016/j.ejor.2021.11.004_bib0064) 2015; 62 Lin (10.1016/j.ejor.2021.11.004_bib0037) 1998; 36 Wu (10.1016/j.ejor.2021.11.004_bib0060) 2019; 34 Wu (10.1016/j.ejor.2021.11.004_bib0062) 2010; 9 Grabisch (10.1016/j.ejor.2021.11.004_bib0029) 2020; 48 |
| References_xml | – volume: 211 start-page: 352 year: 2011 end-page: 358 ident: bib0041 article-title: Weighted Banzhaf power and interaction indexes through weighted approximations of games publication-title: European Journal of Operational Research – volume: 19 start-page: 562 year: 2011 end-page: 574 ident: bib0007 article-title: Learning Choquet-integral-based metrics for semisupervised clustering publication-title: IEEE Transactions on Fuzzy Systems – year: 2004 ident: bib0034 article-title: Knapsack problems – volume: 93 start-page: 381 year: 2013 end-page: 422 ident: bib0017 article-title: Robust ordinal regression in preference learning and ranking publication-title: Machine Learning – year: 2016 ident: bib0026 article-title: Set functions, games and capacities in decision making – year: 2003 ident: bib0054 article-title: Kvaliteten af grænseværdier for det kvadratiske knapsack problem publication-title: Technical Report – volume: 578 start-page: 22 year: 2021 end-page: 36 ident: bib0006 article-title: Choquet integral optimisation with constraints and the buoyancy property for fuzzy measures publication-title: Information Sciences – year: 2021 ident: bib0003 article-title: Aggregation with dependencies: Capacities and fuzzy integrals publication-title: Fuzzy Sets and Systems – volume: 48 start-page: 487 year: 2020 end-page: 492 ident: bib0029 article-title: k-additive upper approximation of TU-games publication-title: Operations Research Letters – year: 2019 ident: bib0046 article-title: Combinatorial structure of the polytope of 2-additive measures publication-title: IEEE Transactions on Fuzzy Systems – start-page: 66 year: 2020 end-page: 77 ident: bib0052 article-title: Unsupervised capacity identification approach based on Sobol indices publication-title: Torra,v. and narukawa, y. and nin, j. and agell, n. (eds) modeling decisions for artificial intelligence. MDAI 2020, LNCS 12256 – year: 1974 ident: bib0058 publication-title: Theory of Fuzzy Integrals and Applications – volume: 11 start-page: 125 year: 1999 end-page: 137 ident: bib0012 article-title: Exact solution of the quadratic knapsack problem publication-title: INFORMS Journal on Computing – start-page: 247 year: 2000 end-page: 272 ident: bib0040 article-title: On Choquet and Sugeno integrals as agregation functions publication-title: Fuzzy measures and integrals. Theory and applications – year: 1982 ident: bib0050 article-title: Game theory – volume: 282 start-page: 945 year: 2020 end-page: 956 ident: bib0051 article-title: The multilinear model in multicriteria decision making: The case of 2-additive capacities and contributions to parameter identification publication-title: European Journal of Operational Research – volume: 161 start-page: 184 year: 2013 end-page: 199 ident: bib0036 article-title: Compact versus noncompact LP formulations for minimizing convex Choquet integrals publication-title: Discrete Applied Mathematics – volume: 92 start-page: 167 year: 1997 end-page: 189 ident: bib0025 article-title: k-order additive discrete fuzzy measures and their representation publication-title: Fuzzy Sets and Systems – volume: 9 start-page: 435 year: 2010 end-page: 453 ident: bib0062 article-title: 2-order additive fuzzy measure identification method based on diamond pairwise comparison and maximum entropy principle publication-title: Fuzzy Optimization and Decision Making – volume: 62 start-page: 107 year: 2015 end-page: 115 ident: bib0064 article-title: Fuzzy measures in multi-criteria decision making publication-title: Procedia Computer Science – volume: 292 start-page: 735 year: 2021 end-page: 754 ident: bib0001 article-title: Robust stochastic sorting with interacting criteria hierarchically structured publication-title: European Journal of Operational Research – volume: 501 start-page: 50 year: 2019 end-page: 67 ident: bib0015 article-title: Minimals plus: An improved algorithm for the random generation of linear extensions of partially ordered sets publication-title: Information Sciences – volume: 34 start-page: 1732 year: 2019 end-page: 1752 ident: bib0060 article-title: Nonadditive robust ordinal regression with nonadditivity index and multiple goal linear programming publication-title: International Journal of Intelligent Systems – volume: 175 start-page: 247 year: 2010 end-page: 286 ident: bib0028 article-title: A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid publication-title: Annals of Operations Research – volume: 12 start-page: 132 year: 1980 end-page: 149 ident: bib0022 article-title: Quadratic knapsack problems publication-title: Math. Programming Study – year: 2019 ident: bib0008 article-title: Discrete fuzzy measures: Computational aspects – volume: 283 start-page: 308 year: 2019 end-page: 320 ident: bib0043 article-title: Necessary and possible interaction between criteria in a 2-additive Choquet integral model publication-title: European Journal of Operational Research – volume: 55 start-page: 72 year: 2006 end-page: 99 ident: bib0018 article-title: Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices publication-title: Games and Economic Behavior – volume: 3 start-page: 219 year: 2011 end-page: 260 ident: bib0032 article-title: PyOMO: Modeling and solving mathematical programs in Python publication-title: Mathematical Programming Computation – volume: 25 start-page: 621 year: 2010 end-page: 635 ident: bib0039 article-title: Application of fuzzy measures and interval computation to financial portfolio selection publication-title: International Journal of Intelligent Systems – volume: 246 start-page: 152 year: 2017 end-page: 180 ident: bib0010 article-title: Incremental elicitation of Choquet capacities for multicriteria choice, ranking and sorting problems publication-title: Artificial Intelligence – year: 1982 ident: bib0038 article-title: Submodular functions and convexity publication-title: Mathematical programming. the state of the art – volume: 186 start-page: 766 year: 2008 end-page: 785 ident: bib0027 article-title: A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package publication-title: European Journal of Operational Research – volume: 289 start-page: 508 year: 2021 end-page: 514 ident: bib0055 article-title: The binary knapsack problem with qualitative levels publication-title: European Journal of Operational Research – volume: 239 start-page: 711 year: 2014 end-page: 730 ident: bib0030 article-title: Robust ordinal regression for value functions handling interacting criteria publication-title: European Journal of Operational Research – volume: 17 start-page: 567 year: 1996 end-page: 575 ident: bib0024 article-title: The representation of importance and interaction of features by fuzzy measures publication-title: Pattern Recognition Letters – reference: package – start-page: 231 year: 2018 end-page: 239 ident: bib0063 article-title: Using fuzzy measures to construct multi-criteria decision functions publication-title: Soft computing based optimization and decision models – start-page: 355 year: 2010 end-page: 365 ident: bib0019 article-title: A branch and bound algorithm for Choquet optimization in multicriteria problems publication-title: M. ehrgott et al. (eds.): Multiple criteria decision making for sustainable energy and transportation systems – volume: 271 start-page: 120 year: 2018 end-page: 140 ident: bib0011 article-title: On the Choquet multiple criteria preference aggregation model: Theoretical and practical insights from a real-world application publication-title: European Journal of Operational Research – volume: 61 start-page: 2 year: 2016 end-page: 18 ident: bib0016 article-title: Combining analytical hierarchy process and Choquet integral within non-additive robust ordinal regression publication-title: Omega – volume: 291 start-page: 871 year: 2021 end-page: 882 ident: bib0021 article-title: Polynomial-size formulations and relaxations for the quadratic multiple knapsack problem publication-title: European Journal of Operational Research – year: 2020 ident: bib0048 article-title: The quadratic multiknapsack problem with conflicts and balance constraints publication-title: INFORMS Journal on Computing – volume: 18 start-page: 64 year: 1972 end-page: 79 ident: bib0049 article-title: Multilinear extensions of games publication-title: Management Science – year: 2021 ident: bib0057 article-title: Multicriteria decision support for the evaluation of electricity supply resilience: Exploration of interacting criteria publication-title: European Journal of Operational Research – volume: 5 start-page: 131 year: 1953 end-page: 295 ident: bib0014 article-title: Theory of capacities publication-title: Annales de lInstitut Fourier – volume: 2 start-page: 307 year: 1953 end-page: 317 ident: bib0056 article-title: A value for n-person games publication-title: Contributions to the Theory of Games – year: 2021 ident: bib0004 article-title: Hierarchical data fusion processes involving the Möbius representation of capacities publication-title: Fuzzy Sets and Systems – volume: 155 start-page: 623 year: 2007 end-page: 648 ident: bib0053 article-title: The quadratic knapsack problema survey publication-title: Discrete Applied Mathematics – reference: Hart, W. E., Watson, J.-P., & Woodruff, D. L. (2020). – volume: 71 start-page: 297 year: 2011 end-page: 324 ident: bib0045 article-title: A representation of preferences by the Choquet integral with respect to a 2-additive capacity publication-title: Theory and Decision – volume: 45 start-page: 295 year: 1989 end-page: 309 ident: bib0023 article-title: On the supermodular knapsack problem publication-title: Math. Programming – year: 2021 ident: bib0005 article-title: Choquet integral based measures of economic welfare and species diversity publication-title: International Journal of Intelligent Systems – start-page: 147 year: 2020 end-page: 154 ident: bib0042 article-title: New computational models for the Choquet integral publication-title: G. d. giacomo et al. (eds.): ECAI 2020 – volume: 36 start-page: 3 year: 1992 end-page: 21 ident: bib0031 article-title: On approximations of pseudo-boolean functions publication-title: ZOR-Methods Models Operation Research – year: 2000 ident: bib0035 article-title: Triangular norms – volume: 23 start-page: 2094 year: 2015 end-page: 2106 ident: bib0061 article-title: 2-additive capacity identification methods from multicriteria correlation preference information publication-title: IEEE Transactions on Fuzzy Systems – volume: 204 start-page: 303 year: 2010 end-page: 315 ident: bib0020 article-title: Choquet-based optimisation in multiobjective shortest path and spanning tree problem publication-title: European Journal of Operational Research – volume: 185 start-page: 115636 year: 2021 ident: bib0065 article-title: Prioritizing and aggregating interacting requirements for product-service system development publication-title: Expert Systems with Applications – reference: . – volume: 17 start-page: 263 year: 1989 end-page: 283 ident: bib0013 article-title: Some characterizations of lower probabilities and other monotone capacities through the use of Möbius inversion publication-title: Mathematical Social Sciences – volume: 184 start-page: 84 year: 2011 end-page: 105 ident: bib0044 article-title: A characterization of the 2-additive Choquet integral through cardinal information publication-title: Fuzzy Sets and Systems – start-page: 693 year: 1993 end-page: 696 ident: bib0047 article-title: Techniques for reading fuzzy measures (III): Interaction index publication-title: 9th fuzzy systems symposium – volume: 494 start-page: 100 year: 2019 end-page: 113 ident: bib0009 article-title: Learning fuzzy measures from data: Simplifications and optimisation strategies publication-title: Information Sciences – year: 2021 ident: bib0066 article-title: A hybrid evolutionary search for the generalized quadratic multiple knapsack problem publication-title: European Journal of Operational Research – year: 2016 ident: bib0002 article-title: A practical guide to averaging functions – volume: 36 start-page: 274 year: 1998 end-page: 317 ident: bib0037 article-title: A bibliographical survey on some well-known non-standard knapsack problems publication-title: INFOR: Information Systems and Operational Research – volume: 196 start-page: 543 year: 2012 end-page: 579 ident: bib0059 article-title: Maximization of the Choquet integral over a convex set and its application to resource allocation problems publication-title: Annals of Operations Research – volume: 36 start-page: 3 year: 1992 ident: 10.1016/j.ejor.2021.11.004_bib0031 article-title: On approximations of pseudo-boolean functions publication-title: ZOR-Methods Models Operation Research doi: 10.1007/BF01541028 – start-page: 66 year: 2020 ident: 10.1016/j.ejor.2021.11.004_bib0052 article-title: Unsupervised capacity identification approach based on Sobol indices – volume: 23 start-page: 2094 issue: 6 year: 2015 ident: 10.1016/j.ejor.2021.11.004_bib0061 article-title: 2-additive capacity identification methods from multicriteria correlation preference information publication-title: IEEE Transactions on Fuzzy Systems doi: 10.1109/TFUZZ.2015.2403851 – ident: 10.1016/j.ejor.2021.11.004_bib0033 – year: 2021 ident: 10.1016/j.ejor.2021.11.004_bib0005 article-title: Choquet integral based measures of economic welfare and species diversity publication-title: International Journal of Intelligent Systems – volume: 48 start-page: 487 year: 2020 ident: 10.1016/j.ejor.2021.11.004_bib0029 article-title: k-additive upper approximation of TU-games publication-title: Operations Research Letters doi: 10.1016/j.orl.2020.06.001 – start-page: 147 year: 2020 ident: 10.1016/j.ejor.2021.11.004_bib0042 article-title: New computational models for the Choquet integral – volume: 161 start-page: 184 year: 2013 ident: 10.1016/j.ejor.2021.11.004_bib0036 article-title: Compact versus noncompact LP formulations for minimizing convex Choquet integrals publication-title: Discrete Applied Mathematics doi: 10.1016/j.dam.2012.07.007 – volume: 17 start-page: 263 issue: 3 year: 1989 ident: 10.1016/j.ejor.2021.11.004_bib0013 article-title: Some characterizations of lower probabilities and other monotone capacities through the use of Möbius inversion publication-title: Mathematical Social Sciences doi: 10.1016/0165-4896(89)90056-5 – year: 2020 ident: 10.1016/j.ejor.2021.11.004_sbref0048 article-title: The quadratic multiknapsack problem with conflicts and balance constraints publication-title: INFORMS Journal on Computing – volume: 71 start-page: 297 issue: 3 year: 2011 ident: 10.1016/j.ejor.2021.11.004_bib0045 article-title: A representation of preferences by the Choquet integral with respect to a 2-additive capacity publication-title: Theory and Decision doi: 10.1007/s11238-010-9198-3 – volume: 292 start-page: 735 issue: 2 year: 2021 ident: 10.1016/j.ejor.2021.11.004_bib0001 article-title: Robust stochastic sorting with interacting criteria hierarchically structured publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2020.11.024 – volume: 9 start-page: 435 issue: 4 year: 2010 ident: 10.1016/j.ejor.2021.11.004_bib0062 article-title: 2-order additive fuzzy measure identification method based on diamond pairwise comparison and maximum entropy principle publication-title: Fuzzy Optimization and Decision Making doi: 10.1007/s10700-010-9086-x – year: 2003 ident: 10.1016/j.ejor.2021.11.004_bib0054 article-title: Kvaliteten af grænseværdier for det kvadratiske knapsack problem – volume: 92 start-page: 167 issue: 2 year: 1997 ident: 10.1016/j.ejor.2021.11.004_bib0025 article-title: k-order additive discrete fuzzy measures and their representation publication-title: Fuzzy Sets and Systems doi: 10.1016/S0165-0114(97)00168-1 – year: 2000 ident: 10.1016/j.ejor.2021.11.004_bib0035 – volume: 204 start-page: 303 year: 2010 ident: 10.1016/j.ejor.2021.11.004_bib0020 article-title: Choquet-based optimisation in multiobjective shortest path and spanning tree problem publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2009.10.015 – volume: 18 start-page: 64 year: 1972 ident: 10.1016/j.ejor.2021.11.004_bib0049 article-title: Multilinear extensions of games publication-title: Management Science doi: 10.1287/mnsc.18.5.64 – volume: 55 start-page: 72 issue: 1 year: 2006 ident: 10.1016/j.ejor.2021.11.004_bib0018 article-title: Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices publication-title: Games and Economic Behavior doi: 10.1016/j.geb.2005.03.002 – volume: 185 start-page: 115636 year: 2021 ident: 10.1016/j.ejor.2021.11.004_bib0065 article-title: Prioritizing and aggregating interacting requirements for product-service system development publication-title: Expert Systems with Applications doi: 10.1016/j.eswa.2021.115636 – year: 2004 ident: 10.1016/j.ejor.2021.11.004_bib0034 – volume: 282 start-page: 945 year: 2020 ident: 10.1016/j.ejor.2021.11.004_bib0051 article-title: The multilinear model in multicriteria decision making: The case of 2-additive capacities and contributions to parameter identification publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2019.10.005 – volume: 196 start-page: 543 year: 2012 ident: 10.1016/j.ejor.2021.11.004_bib0059 article-title: Maximization of the Choquet integral over a convex set and its application to resource allocation problems publication-title: Annals of Operations Research doi: 10.1007/s10479-012-1147-9 – year: 2021 ident: 10.1016/j.ejor.2021.11.004_sbref0004 article-title: Hierarchical data fusion processes involving the Möbius representation of capacities publication-title: Fuzzy Sets and Systems – year: 2019 ident: 10.1016/j.ejor.2021.11.004_bib0046 article-title: Combinatorial structure of the polytope of 2-additive measures publication-title: IEEE Transactions on Fuzzy Systems – volume: 184 start-page: 84 issue: 1 year: 2011 ident: 10.1016/j.ejor.2021.11.004_bib0044 article-title: A characterization of the 2-additive Choquet integral through cardinal information publication-title: Fuzzy Sets and Systems doi: 10.1016/j.fss.2010.10.012 – year: 1982 ident: 10.1016/j.ejor.2021.11.004_bib0050 – year: 1982 ident: 10.1016/j.ejor.2021.11.004_bib0038 article-title: Submodular functions and convexity – year: 2021 ident: 10.1016/j.ejor.2021.11.004_sbref0003 article-title: Aggregation with dependencies: Capacities and fuzzy integrals publication-title: Fuzzy Sets and Systems – volume: 211 start-page: 352 year: 2011 ident: 10.1016/j.ejor.2021.11.004_bib0041 article-title: Weighted Banzhaf power and interaction indexes through weighted approximations of games publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2010.11.027 – volume: 19 start-page: 562 issue: 3 year: 2011 ident: 10.1016/j.ejor.2021.11.004_bib0007 article-title: Learning Choquet-integral-based metrics for semisupervised clustering publication-title: IEEE Transactions on Fuzzy Systems doi: 10.1109/TFUZZ.2011.2123899 – volume: 34 start-page: 1732 year: 2019 ident: 10.1016/j.ejor.2021.11.004_bib0060 article-title: Nonadditive robust ordinal regression with nonadditivity index and multiple goal linear programming publication-title: International Journal of Intelligent Systems doi: 10.1002/int.22119 – year: 2021 ident: 10.1016/j.ejor.2021.11.004_bib0057 article-title: Multicriteria decision support for the evaluation of electricity supply resilience: Exploration of interacting criteria publication-title: European Journal of Operational Research – volume: 578 start-page: 22 year: 2021 ident: 10.1016/j.ejor.2021.11.004_bib0006 article-title: Choquet integral optimisation with constraints and the buoyancy property for fuzzy measures publication-title: Information Sciences doi: 10.1016/j.ins.2021.07.032 – volume: 289 start-page: 508 issue: 2 year: 2021 ident: 10.1016/j.ejor.2021.11.004_bib0055 article-title: The binary knapsack problem with qualitative levels publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2020.07.040 – volume: 271 start-page: 120 issue: 1 year: 2018 ident: 10.1016/j.ejor.2021.11.004_bib0011 article-title: On the Choquet multiple criteria preference aggregation model: Theoretical and practical insights from a real-world application publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2018.04.022 – volume: 186 start-page: 766 issue: 2 year: 2008 ident: 10.1016/j.ejor.2021.11.004_bib0027 article-title: A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2007.02.025 – volume: 3 start-page: 219 year: 2011 ident: 10.1016/j.ejor.2021.11.004_bib0032 article-title: PyOMO: Modeling and solving mathematical programs in Python publication-title: Mathematical Programming Computation doi: 10.1007/s12532-011-0026-8 – start-page: 231 year: 2018 ident: 10.1016/j.ejor.2021.11.004_bib0063 article-title: Using fuzzy measures to construct multi-criteria decision functions – volume: 155 start-page: 623 year: 2007 ident: 10.1016/j.ejor.2021.11.004_bib0053 article-title: The quadratic knapsack problema survey publication-title: Discrete Applied Mathematics doi: 10.1016/j.dam.2006.08.007 – start-page: 355 year: 2010 ident: 10.1016/j.ejor.2021.11.004_bib0019 article-title: A branch and bound algorithm for Choquet optimization in multicriteria problems – volume: 2 start-page: 307 issue: 28 year: 1953 ident: 10.1016/j.ejor.2021.11.004_bib0056 article-title: A value for n-person games publication-title: Contributions to the Theory of Games – volume: 62 start-page: 107 year: 2015 ident: 10.1016/j.ejor.2021.11.004_bib0064 article-title: Fuzzy measures in multi-criteria decision making publication-title: Procedia Computer Science doi: 10.1016/j.procs.2015.08.421 – volume: 93 start-page: 381 issue: 2–3 year: 2013 ident: 10.1016/j.ejor.2021.11.004_bib0017 article-title: Robust ordinal regression in preference learning and ranking publication-title: Machine Learning doi: 10.1007/s10994-013-5365-4 – year: 2016 ident: 10.1016/j.ejor.2021.11.004_bib0002 – volume: 239 start-page: 711 issue: 3 year: 2014 ident: 10.1016/j.ejor.2021.11.004_bib0030 article-title: Robust ordinal regression for value functions handling interacting criteria publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2014.05.022 – volume: 501 start-page: 50 year: 2019 ident: 10.1016/j.ejor.2021.11.004_bib0015 article-title: Minimals plus: An improved algorithm for the random generation of linear extensions of partially ordered sets publication-title: Information Sciences doi: 10.1016/j.ins.2019.05.079 – start-page: 247 year: 2000 ident: 10.1016/j.ejor.2021.11.004_bib0040 article-title: On Choquet and Sugeno integrals as agregation functions – year: 2021 ident: 10.1016/j.ejor.2021.11.004_sbref0066 article-title: A hybrid evolutionary search for the generalized quadratic multiple knapsack problem publication-title: European Journal of Operational Research – volume: 283 start-page: 308 year: 2019 ident: 10.1016/j.ejor.2021.11.004_bib0043 article-title: Necessary and possible interaction between criteria in a 2-additive Choquet integral model publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2019.10.036 – volume: 61 start-page: 2 year: 2016 ident: 10.1016/j.ejor.2021.11.004_bib0016 article-title: Combining analytical hierarchy process and Choquet integral within non-additive robust ordinal regression publication-title: Omega doi: 10.1016/j.omega.2015.07.003 – start-page: 693 year: 1993 ident: 10.1016/j.ejor.2021.11.004_bib0047 article-title: Techniques for reading fuzzy measures (III): Interaction index – volume: 494 start-page: 100 year: 2019 ident: 10.1016/j.ejor.2021.11.004_bib0009 article-title: Learning fuzzy measures from data: Simplifications and optimisation strategies publication-title: Information Sciences doi: 10.1016/j.ins.2019.04.042 – volume: 175 start-page: 247 issue: 1 year: 2010 ident: 10.1016/j.ejor.2021.11.004_bib0028 article-title: A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid publication-title: Annals of Operations Research doi: 10.1007/s10479-009-0655-8 – year: 2019 ident: 10.1016/j.ejor.2021.11.004_bib0008 – volume: 11 start-page: 125 year: 1999 ident: 10.1016/j.ejor.2021.11.004_bib0012 article-title: Exact solution of the quadratic knapsack problem publication-title: INFORMS Journal on Computing doi: 10.1287/ijoc.11.2.125 – year: 1974 ident: 10.1016/j.ejor.2021.11.004_bib0058 – volume: 291 start-page: 871 issue: 3 year: 2021 ident: 10.1016/j.ejor.2021.11.004_bib0021 article-title: Polynomial-size formulations and relaxations for the quadratic multiple knapsack problem publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2020.10.047 – volume: 36 start-page: 274 issue: 4 year: 1998 ident: 10.1016/j.ejor.2021.11.004_bib0037 article-title: A bibliographical survey on some well-known non-standard knapsack problems publication-title: INFOR: Information Systems and Operational Research – volume: 5 start-page: 131 year: 1953 ident: 10.1016/j.ejor.2021.11.004_bib0014 article-title: Theory of capacities publication-title: Annales de lInstitut Fourier doi: 10.5802/aif.53 – year: 2016 ident: 10.1016/j.ejor.2021.11.004_bib0026 – volume: 246 start-page: 152 year: 2017 ident: 10.1016/j.ejor.2021.11.004_bib0010 article-title: Incremental elicitation of Choquet capacities for multicriteria choice, ranking and sorting problems publication-title: Artificial Intelligence doi: 10.1016/j.artint.2017.02.001 – volume: 25 start-page: 621 year: 2010 ident: 10.1016/j.ejor.2021.11.004_bib0039 article-title: Application of fuzzy measures and interval computation to financial portfolio selection publication-title: International Journal of Intelligent Systems – volume: 17 start-page: 567 issue: 6 year: 1996 ident: 10.1016/j.ejor.2021.11.004_bib0024 article-title: The representation of importance and interaction of features by fuzzy measures publication-title: Pattern Recognition Letters doi: 10.1016/0167-8655(96)00020-7 – volume: 12 start-page: 132 year: 1980 ident: 10.1016/j.ejor.2021.11.004_bib0022 article-title: Quadratic knapsack problems publication-title: Math. Programming Study doi: 10.1007/BFb0120892 – volume: 45 start-page: 295 year: 1989 ident: 10.1016/j.ejor.2021.11.004_bib0023 article-title: On the supermodular knapsack problem publication-title: Math. Programming doi: 10.1007/BF01589108 |
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