A Summary and Update of “Granular Computing and Data Mining for Ordered Data: The Dominance-Based Rough Set Approach”

This is an extended summary of our article recently published as: S. Greco, B. Matarazzo, R. Slowinski, Granular Computing and Data Mining for Ordered Data: the Dominance-based Rough Set Approach. In: R. A. Meyers (ed.), Encyclopedia of Complexity and Systems Science, Springer, New York, pp. 4283-4305, 2009.

[1]  Gianpiero Cattaneo,et al.  Algebraic Structures for Rough Sets , 2004, Trans. Rough Sets.

[2]  Didier Dubois,et al.  Gradual inference rules in approximate reasoning , 1992, Inf. Sci..

[3]  Vijay K. Rohatgi,et al.  Advances in Fuzzy Set Theory and Applications , 1980 .

[4]  Lotfi A. Zadeh,et al.  Fuzzy sets and information granularity , 1996 .

[5]  Salvatore Greco,et al.  Generalizing Rough Set Theory Through Dominance-Based Rough Set Approach , 2005, RSFDGrC.

[6]  Roman Słowiński,et al.  Searching for an equivalence between decision rules and concordance-discordance preference model in multicriteria choice problems , 2002 .

[7]  Salvatore Greco,et al.  Mining decision-rule preference model from rough approximation of preference relation , 2002, Proceedings 26th Annual International Computer Software and Applications.

[8]  David Leake,et al.  Case-Based Reasoning: Experiences, Lessons and Future Directions , 1996 .

[9]  Lotfi A. Zadeh,et al.  From Computing with Numbers to Computing with Words - from Manipulation of Measurements to Manipulation of Perceptions , 2005, Logic, Thought and Action.

[10]  Theodor J. Stewart,et al.  Dealing with uncertainties in MCDA (Multi-criteria decision analysis) , 2005 .

[11]  Sadaaki Miyamoto,et al.  Rough Sets and Current Trends in Computing , 2012, Lecture Notes in Computer Science.

[12]  Tsau Young Lin,et al.  Topological and Fuzzy Rough Sets , 1992, Intelligent Decision Support.

[13]  Gianpiero Cattaneo,et al.  Generalized Rough Sets (Preclusivity Fuzzy-Intuitionistic (BZ) Lattices) , 1997, Stud Logica.

[14]  Salvatore Greco,et al.  Algebraic Structures for Dominance-Based Rough Set Approach , 2008, RSKT.

[15]  S. Greco,et al.  Dominance-Based Rough Set Approach to Knowledge Discovery (II): Extensions and Applications , 2004 .

[16]  D. Dubois,et al.  Fuzzy set modelling in case‐based reasoning , 1998 .

[17]  Lotfi A. Zadeh Key Roles of Information Granulation and Fuzzy Logic in Human Reasoning, Concept Formulation and Computing with Words , 1996, Proceedings of IEEE 5th International Fuzzy Systems.

[18]  Salvatore Greco,et al.  Rough Set Processing of Vague Information Using Fuzzy Similarity Relations , 2000, Finite Versus Infinite.

[19]  Salvatore Greco,et al.  Rough sets theory for multicriteria decision analysis , 2001, Eur. J. Oper. Res..

[20]  A. Nakamura,et al.  A logic for fuzzy data analysis , 1991 .

[21]  D. Dubois,et al.  ROUGH FUZZY SETS AND FUZZY ROUGH SETS , 1990 .

[22]  Masahiro Inuiguchi,et al.  Fuzzy rough sets and multiple-premise gradual decision rules , 2006, Int. J. Approx. Reason..

[23]  S. Greco,et al.  Decision Rule Approach , 2005 .

[24]  Salvatore Greco,et al.  Dominance-Based Rough Set Approach to Case-Based Reasoning , 2006, MDAI.

[25]  Gianpiero Cattaneo,et al.  BZMVdM algebras and stonian MV-algebras (applications to fuzzy sets and rough approximations) , 1999, Fuzzy Sets Syst..

[26]  Marc Roubens,et al.  Fuzzy Preference Modelling and Multicriteria Decision Support , 1994, Theory and Decision Library.

[27]  Salvatore Greco,et al.  Axiomatic characterization of a general utility function and its particular cases in terms of conjoint measurement and rough-set decision rules , 2004, Eur. J. Oper. Res..

[28]  T. Y. Lin,et al.  Neighborhood systems and relational databases , 1988, CSC '88.

[29]  Roman Słowiński,et al.  Preference Representation by Means of Conjoint Measurement and Decision Rule Model , 2002 .

[30]  Salvatore Greco,et al.  Monotonic Variable Consistency Rough Set Approaches , 2009, Int. J. Approx. Reason..

[31]  Lech Polkowski,et al.  Rough Sets in Knowledge Discovery 2 , 1998 .

[32]  Lotfi A. Zadeh,et al.  Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic , 1997, Fuzzy Sets Syst..

[33]  Matthias Ehrgott,et al.  Multiple criteria decision analysis: state of the art surveys , 2005 .

[34]  S. Greco,et al.  Axiomatization of utility, outranking and decision-rule preference models for multiple-criteria classification problems under partial inconsistency with the dominance principle , 2002 .

[35]  Zdzisław Pawlak Rough Set Theory , 2001, Künstliche Intell..

[36]  Jerzy W. Grzymala-Busse,et al.  Rough Sets , 1995, Commun. ACM.

[37]  Richard Hull,et al.  Order Dependency in the Relational Model , 1983, Theor. Comput. Sci..

[38]  Janet L. Kolodner,et al.  Case-Based Reasoning , 1989, IJCAI 1989.

[39]  R. Słowiński Intelligent Decision Support: Handbook of Applications and Advances of the Rough Sets Theory , 1992 .

[40]  Salvatore Greco,et al.  Rough Set Approach to Decisions under Risk , 2000, Rough Sets and Current Trends in Computing.

[41]  S. Greco,et al.  Dominance-Based Rough Set Approach to Knowledge Discovery (I): General Perspective , 2004 .

[42]  Anna Maria Radzikowska,et al.  A comparative study of fuzzy rough sets , 2002, Fuzzy Sets Syst..

[43]  Salvatore Greco,et al.  Rough Set Based Decision Support , 2005 .

[44]  Salvatore Greco,et al.  Dominance-Based Rough Set Approach as a Proper Way of Handling Graduality in Rough Set Theory , 2007, Trans. Rough Sets.

[45]  Masahiro Inuiguchi,et al.  Transactions on Rough Sets II: Rough Sets and Fuzzy Sets (Lecture Notes in Computer Science) , 2005 .

[46]  Philippe Fortemps,et al.  Multicriteria decision support using rules that represent rough-graded preference relations , 2008, Eur. J. Oper. Res..

[47]  Didier Dubois,et al.  Putting Rough Sets and Fuzzy Sets Together , 1992, Intelligent Decision Support.

[48]  Jerzy W. Grzymala-Busse,et al.  Transactions on Rough Sets XII , 2010, Lecture Notes in Computer Science.

[49]  Roman Słowiński,et al.  Fuzzy Extension of the Rough Set Approach to Multicriteria and Multiattribute Sorting , 2000 .

[50]  Itzhak Gilboa,et al.  A theory of case-based decisions , 2001 .

[51]  Masahiro Inuiguchi,et al.  Dominance-Based Rough Set Approach Using Possibility and Necessity Measures , 2002, Rough Sets and Current Trends in Computing.

[52]  Salvatore Greco,et al.  Variable Consistency Model of Dominance-Based Rough Sets Approach , 2000, Rough Sets and Current Trends in Computing.

[53]  Wojciech Ziarko,et al.  Variable Precision Rough Set Model , 1993, J. Comput. Syst. Sci..

[54]  Gianpiero Cattaneo,et al.  Brouwer-Zadeh posets and three-valued Ł ukasiewicz posets , 1989 .

[55]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..