Granular Cognitive Maps reconstruction

Cognitive Maps are abstract knowledge representation framework, suitable to model complex systems. Cognitive Maps are visualized with directed graphs, where nodes represent phenomena and edges represent relationships. Granular Cognitive Maps are augmented Cognitive Maps, which use knowledge granules as information representation model. Conceptually, GCMs originated as an extension of Fuzzy Cognitive Maps. The contribution presented in this paper is a methodology for Granular Cognitive Map reconstruction. The goal of the procedure is to construct a weights matrix - and thereby the GCM, which outputs best describe the phenomena of interest. The article addresses the conflict between generality and specificity of various Granular Cognitive Maps. Balance between generality and specificity is the most important architectural aspect of a model built with knowledge granules. A series of experiments illustrates, how various optimization techniques allow improvement in map's quality without a loss in map's precision.

[1]  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..

[2]  Witold Pedrycz,et al.  Genetic learning of fuzzy cognitive maps , 2005, Fuzzy Sets Syst..

[3]  Elpiniki I. Papageorgiou,et al.  Application of evolutionary fuzzy cognitive maps to the long-term prediction of prostate cancer , 2012, Appl. Soft Comput..

[4]  R. Axelrod Structure of decision : the cognitive maps of political elites , 2015 .

[5]  Witold Pedrycz,et al.  Learning fuzzy cognitive maps with required precision using genetic algorithm approach , 2004 .

[6]  Witold Pedrycz,et al.  From Fuzzy Cognitive Maps to Granular Cognitive Maps , 2012, IEEE Transactions on Fuzzy Systems.

[7]  D. E. Koulouriotis,et al.  Learning fuzzy cognitive maps using evolution strategies: a novel schema for modeling and simulating high-level behavior , 2001, Proceedings of the 2001 Congress on Evolutionary Computation (IEEE Cat. No.01TH8546).

[8]  Bart Kosko,et al.  Fuzzy Cognitive Maps , 1986, Int. J. Man Mach. Stud..

[9]  Bart Kosko,et al.  Virtual Worlds as Fuzzy Cognitive Maps , 1993, Presence: Teleoperators & Virtual Environments.

[10]  Michael N. Vrahatis,et al.  A first study of fuzzy cognitive maps learning using particle swarm optimization , 2003, The 2003 Congress on Evolutionary Computation, 2003. CEC '03..

[11]  Witold Pedrycz,et al.  Granular Computing: Perspectives and Challenges , 2013, IEEE Transactions on Cybernetics.

[12]  Dimitrios K. Iakovidis,et al.  Intuitionistic Fuzzy Cognitive Maps , 2013, IEEE Transactions on Fuzzy Systems.

[13]  Witold Pedrycz,et al.  Numerical and Linguistic Prediction of Time Series With the Use of Fuzzy Cognitive Maps , 2008, IEEE Transactions on Fuzzy Systems.

[14]  Chrysostomos D. Stylios,et al.  Fuzzy Cognitive Map Learning Based on Nonlinear Hebbian Rule , 2003, Australian Conference on Artificial Intelligence.

[15]  Yiannis S. Boutalis,et al.  Fuzzy Cognitive Maps for Pattern Recognition Applications , 2008, Int. J. Pattern Recognit. Artif. Intell..

[16]  Dimitris E. Koulouriotis,et al.  Towards Hebbian learning of Fuzzy Cognitive Maps in pattern classification problems , 2012, Expert Syst. Appl..

[17]  Witold Pedrycz,et al.  The design of cognitive maps: A study in synergy of granular computing and evolutionary optimization , 2010, Expert Syst. Appl..