Polymorphic fuzzy signatures

The fuzzy signature [1], [2] approach is aimed at finding a hierarchically decomposed solutions by adding new elements to Zadeh's approach [3]. It tackles the problem by splitting the problem into hierarchically organized local sub-models and by applying more complex and heterogenous descriptors, more fit for the identification of extremely complex models. However, the computational time complexity still affects the fuzzy signatures as we were attempt to create an atomic fuzzy signature for each data point we get. Importantly, the atomic fuzzy signatures we store has properties we can make use of to make search over this structure computationally efficient. In this paper we introduce a new approach that uses the metadata about a set of fuzzy signatures to extract a Polymorphic Fuzzy Signature. Productively, a polymorphic fuzzy signature represents its base set of fuzzy signatures in a higher meta level which also allows search/inference, and so can reduce the computational time complexity of the inference process.

[1]  Tom Gedeon,et al.  Aggregation Selection for Hierarchical Fuzzy Signatures: A Comparison of Hierarchical OWA and WRAO , 2008 .

[2]  László T. Kóczy,et al.  Construction of fuzzy signature from data: an example of SARS pre-clinical diagnosis system , 2004, 2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542).

[3]  Tom Gedeon,et al.  Investigation of Aggregation in Fuzzy Signatures , 2005 .

[4]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[5]  B. Hutton Normality in fuzzy topological spaces , 1975 .

[6]  Lotfi A. Zadeh,et al.  Outline of a New Approach to the Analysis of Complex Systems and Decision Processes , 1973, IEEE Trans. Syst. Man Cybern..

[7]  M. Chan-yeung,et al.  A cluster of cases of severe acute respiratory syndrome in Hong Kong. , 2003, The New England journal of medicine.

[8]  Y. Leo,et al.  Severe Acute Respiratory Syndrome (SARS) in Singapore: Clinical Features of Index Patient and Initial Contacts , 2003, Emerging infectious diseases.

[9]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[10]  László T. Kóczy,et al.  Mamdani-type inference in fuzzy signature based rule bases , 2007 .

[11]  W. Pedrycz,et al.  Generalized means as model of compensative connectives , 1984 .

[12]  László T. Kóczy,et al.  Generalised Weighted Relevance Aggregation Operators for Hierarchical Fuzzy Signatures , 2006, 2006 International Conference on Computational Inteligence for Modelling Control and Automation and International Conference on Intelligent Agents Web Technologies and International Commerce (CIMCA'06).

[13]  Kenneth Levenberg A METHOD FOR THE SOLUTION OF CERTAIN NON – LINEAR PROBLEMS IN LEAST SQUARES , 1944 .

[14]  J. Goguen L-fuzzy sets , 1967 .

[15]  Meng Guang-wu,et al.  THE γ-N COMPACTNESS IN L-FUZZY TOPOLOGICAL SPACES , 2012 .

[16]  László T. Kóczy,et al.  Learning Generalized Weighted Relevance Aggregation Operators Using Levenberg-Marquardt Method , 2006, 2006 Sixth International Conference on Hybrid Intelligent Systems (HIS'06).

[17]  Arthur S Slutsky,et al.  Identification of severe acute respiratory syndrome in Canada. , 2003, The New England journal of medicine.

[18]  Gleb Beliakov,et al.  Appropriate choice of aggregation operators in fuzzy decision support systems , 2001, IEEE Trans. Fuzzy Syst..

[19]  Tamás D. Gedeon,et al.  Constructing hierarchical fuzzy rule bases for classification , 2001, 10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297).