Bounded Rationality for Data Reasoning Based on Formal Concept Analysis

Formal Concept Analysis (FCA) is a theory whose goal is to discover and extract Knowledge from qualitative data. It also provides tools for sound reasoning (implication basis and association rules). The aim of this paper is to apply FCA to a new model for bounded rationality based on the implicational reasoning over contextual knowledge bases which are obtained from contextual selections. A contextual selection is a selection of events and attributes about them which induces partial contexts from a global formal context. In order to avoid inconsistencies, association rules are selected as reasoning engine. The model is applied to forecast sport results.

[1]  G Gigerenzer,et al.  Reasoning the fast and frugal way: models of bounded rationality. , 1996, Psychological review.

[2]  Thorsten Pachur,et al.  Forecasting from ignorance: the use and usefulness of recognition in lay predictions of sports events. , 2007, Acta psychologica.

[3]  Gerd Gigerenzer,et al.  Models of ecological rationality: the recognition heuristic. , 2002, Psychological review.

[4]  W. W. Armstrong,et al.  Dependency Structures of Data Base Relationships , 1974, IFIP Congress.

[5]  A. Tversky,et al.  Judgment under Uncertainty: Heuristics and Biases , 1974, Science.

[6]  Joaquín Borrego-Díaz,et al.  Confidence-Based Reasoning with Local Temporal Formal Contexts , 2011, IWANN.

[7]  Joaquín Borrego-Díaz,et al.  Conservative Retractions of Propositional Logic Theories by Means of Boolean Derivatives: Theoretical Foundations , 2009, Calculemus/MKM.

[8]  Gert Smolka,et al.  Analytic Tableaux for Simple Type Theory and its First-Order Fragment , 2010, Log. Methods Comput. Sci..

[9]  Anthony Hunter,et al.  Reasoning with inconsistency in structured text , 2000, The Knowledge Engineering Review.

[10]  Hyeonsang Eom,et al.  A compound framework for sports results prediction: A football case study , 2008, Knowl. Based Syst..

[11]  Patric Andersson,et al.  Forecasting the fast and frugal way: A study of performance and information-processing strategies of experts and non-experts when predicting the World Cup 2002 in soccer , 2003 .

[12]  Gerd Gigerenzer,et al.  Fast and frugal forecasting , 2009 .

[13]  H. Simon,et al.  Models of Bounded Rationality: Empirically Grounded Economic Reason , 1997 .

[14]  D. Gibson,et al.  Redundancy , 1984 .

[15]  Joaquín Borrego-Díaz,et al.  Reconciling Knowledge in Social Tagging Web Services , 2010, HAIS.

[16]  Vincent Duquenne,et al.  Familles minimales d'implications informatives résultant d'un tableau de données binaires , 1986 .

[17]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[18]  Bernhard Ganter,et al.  Formal Concept Analysis: Mathematical Foundations , 1998 .

[19]  E. Brunswik.  Representative design and probabilistic theory in a functional psychology. , 1955, Psychological review.