Multiple criteria ranking and choice with all compatible minimal cover sets of decision rules

An, 2009, Learning rules from pairwise comparison table, vol. 5855, 18 An, 2010, Rough approximations based on intersection of indiscernibility, similarity and outranking relations, Knowl.-Based Syst., 23, 555, 10.1016/j.knosys.2010.03.013 M. Augeri, P. Cozzo, S. Greco, Dominance-based rough set approach: An application case study for setting speed limits for vehicles in speed controlled zones, Knowl.-Based Syst. (in press), http://dx.doi.org/10.1016/j.knosys.2015.07.010. Błaszczyński, 2009, Monotonic variable consistency rough set approaches, Int. J. Approx. Reason., 50, 979, 10.1016/j.ijar.2009.02.011 Błaszczyński, 2011, Sequential covering rule induction algorithm for variable consistency rough set approaches, Inform. Sci., 181, 987, 10.1016/j.ins.2010.10.030 Bouyssou, 1992, Ranking methods for valued preference relations: a characterization of a method based on leaving and entering flows, Eur. J. Oper. Res., 186, 10.1016/0377-2217(92)90279-I Brans, 1994, The PROMCALC & GAIA decision support system for multicriteria decision aid, Decis. Supp. Syst., 12, 297, 10.1016/0167-9236(94)90048-5 Chakhar, 2012, Dominance-based rough set approach for groups in multicriteria classification problems, Decis. Supp. Syst., 54, 372, 10.1016/j.dss.2012.05.050 Corrente, 2013, Robust ordinal regression in preference learning and ranking, Mach. Learn., 93, 381, 10.1007/s10994-013-5365-4 Corrente, 2012, Multiple criteria hierarchy process in robust ordinal regression, Decis. Supp. Syst., 53, 660, 10.1016/j.dss.2012.03.004 Dias, 2002, Aiding decisions with multiple criteria – essays in honor of Bernard Roy, 175 Dias, 2010, Extensions of the prudence principle to exploit a valued outranking relation, Eur. J. Oper. Res., 201, 828, 10.1016/j.ejor.2009.03.026 Figueira, 2013, An overview of ELECTRE methods and their recent extensions, J. Multi-Criteria Decis. Anal., 20, 61, 10.1002/mcda.1482 Fortemps, 2008, Multicriteria decision support using rules that represent rough-graded preference relations, Eur. J. Oper. Res., 188, 206, 10.1016/j.ejor.2007.03.036 Fürnkranz, 2010, Preference learning and ranking by pairwise comparison, 65 Greco, 2011, ELECTREGKMS: Robust ordinal regression for outranking methods, Eur. J. Oper. Res., 214, 118, 10.1016/j.ejor.2011.03.045 Greco, 1999, Rough approximation of a preference relation by dominance relations, Eur. J. Oper. Res., 117, 63, 10.1016/S0377-2217(98)00127-1 Greco, 1999, The use of rough sets and fuzzy sets in MCDM, vol. 21, 397 Greco, 2001, Rough sets theory for multicriteria decision analysis, Eur. J. Oper. Res., 129, 1, 10.1016/S0377-2217(00)00167-3 Greco, 2005, Decision rule approach, vol. 78, 507 Greco, 2006, Dominance-based rough set approach to decision involving multiple decision makers, vol. 4259, 306 Greco, 2010, Dominance-based rough set approach to decision under uncertainty and time preference, Ann. Oper. Res., 176, 41, 10.1007/s10479-009-0566-8 Greco, 2001, An algorithm for induction of decision rules consistent with the dominance principle, vol. 2005, 304 Greco, 1998, Exploitation of a rough approximation of the outranking relation in multicriteria choice and ranking, vol. 1998, 45 Greco, 2008, Ordinal regression revisited: multiple criteria ranking using a set of additive value functions, Eur. J. Oper. Res., 191, 415, 10.1016/j.ejor.2007.08.013 Greco, 2013, Putting dominance-based rough set approach and robust ordinal regression together, Decis. Supp. Syst., 54, 891, 10.1016/j.dss.2012.09.013 Hazen, 1986, Partial information, dominance, and potential optimality in multiattribute utility theory, Oper. Res., 34, 296, 10.1287/opre.34.2.296 Huang, 2012, Dominance-based rough set model in intuitionistic fuzzy information systems, Knowl.-Based Syst., 28, 115, 10.1016/j.knosys.2011.12.008 Jacquet-Lagreze, 1982, Assessing a set of additive utility functions for multicriteria decision-making, the UTA method, Eur. J. Oper. Res., 10, 151, 10.1016/0377-2217(82)90155-2 Kadziński, 2014, Preferential reducts and constructs in robust multiple criteria ranking and sorting, OR Spectrum, 36, 1021, 10.1007/s00291-014-0361-z Kadziński, 2012, Extreme ranking analysis in robust ordinal regression, Omega, 40, 488, 10.1016/j.omega.2011.09.003 Kadziński, 2013, RUTA: a framework for assessing and selecting additive value functions on the basis of rank related requirements, Omega, 41, 735, 10.1016/j.omega.2012.10.002 Kadziński, 2014, Robust ordinal regression for dominance-based rough set approach to multiple criteria sorting, Inform. Sci., 283, 211, 10.1016/j.ins.2014.06.038 Kadziński, 2013, Robust multi-criteria ranking with additive value models and holistic pair-wise preference statements, Eur. J. Oper. Res., 228, 169, 10.1016/j.ejor.2013.01.022 Keeney, 1976 Lahdelma, 2012, The shape of the utility or value function in stochastic multicriteria acceptability analysis, OR Spectrum, 34, 785, 10.1007/s00291-011-0244-5 Lee, 2002, Dominance, potential optimality, imprecise information, and hierarchical structure in multi-criteria analysis, Comput. Oper. Res., 29, 1267, 10.1016/S0305-0548(01)00030-2 Li, 2015, Update of approximations in composite information systems, Knowl.-Based Syst., 83, 138, 10.1016/j.knosys.2015.03.016 Li, 2013, Incremental updating approximations in dominance-based rough sets approach under the variation of the attribute set, Knowl.-Based Syst., 40, 17, 10.1016/j.knosys.2012.11.002 Li, 2015, Parallel computing of approximations in dominance-based rough sets approach, Knowl.-Based Syst., 87, 102, 10.1016/j.knosys.2015.05.003 Pawlak, 1994, Rough set approach to multi-attribute decision analysis, Eur. J. Oper. Res., 72, 443, 10.1016/0377-2217(94)90415-4 Roy, 1990, The outranking approach and the foundations of ELECTRE methods, 155 Roy, 2010, Two conceptions of decision aiding, Int. J. Multicriteria Decis. Mak. (IJMCDM), 1, 74, 10.1504/IJMCDM.2010.033687 Roy, 2013, Questions guiding the choice of a multicriteria decision aiding method, EURO J. Decis. Proces., 1, 69, 10.1007/s40070-013-0004-7 Rzeczpospolita, Ranking of Municipalities, Rzeczpospolita (rp.pl/rankingsamorzadow2012), Warsaw, 2012. (in Polish). Shao, 2014, Relations between granular reduct and dominance reduct in formal contexts, Knowl.-Based Syst., 63, 1, 10.1016/j.knosys.2014.03.006 Słowiński, 2012, Rough set and rule-based multicriteria decision aiding, Pesqui. Oper., 32, 213, 10.1590/S0101-74382012000200001 Słowiński, 2014, Robust ordinal regression for dominance-based rough set approach under uncertainty, vol. 8537, 77 Spliet, 2014, Preference inference with general additive value models and holistic pair-wise statements, Eur. J. Oper. Res., 232, 607, 10.1016/j.ejor.2013.07.036 Susmaga, 2014, Reducts and constructs in classic and dominance-based rough sets approach, Inform. Sci., 271, 45, 10.1016/j.ins.2014.02.100 Szelag, 2013, Aiding decisions with multiple criteria – essays in honor of Bernard Roy, 127 Szelag, 2014, Variable consistency dominance-based rough set approach to preference learning in multicriteria ranking, Inform. Sci., 277, 525, 10.1016/j.ins.2014.02.138 Tsoukias, 1995, A new axiomatic foundation of partial comparability, Theory Decis., 39, 79, 10.1007/BF01078870 Vazirani, 2001 White, 1984, A model of multiattribute decisionmaking and trade-off weight determination under uncertainty, IEEE Trans. Syst. Man Cybern., 14, 223, 10.1109/TSMC.1984.6313205