Generating Membership Values And Fuzzy Association Rules From Numerical Data

The most important task in the design of fuzzy classification systems is to find a set of fuzzy rules from training data to deal with a specific classification problem. In this paper, a method to generate fuzzy rules from training data to deal with the data classification problem is presented. Partition method of interval is adopted in current classification based on associations (CBA). But this method cannot reflect the actual distribution of data and there exists the problem of sharp boundary. These type of problems can be approached with fuzzy representation of data. In this paper quantitative attributes are partitioned into several fuzzy sets by fuzzy C-Means algorithm and membership values are generated, and supervised association rule algorithm is used to discover interesting fuzzy association rules, which are used to build classification system. In this paper fuzzy classified association rules are generated and three classifiers namely C4.5, Naivebayes , and ID3 are used for classification. Experiments are conducted on both primary and secondary data and accuracy of each of the classifiers are discussed with AUC-ROC curves. Quantitative values in databases generate very large number of rules. Using fuzzy linguistic values the generation of rules can be reduced and an objective measure is used further to filter the generated rules and present only the interesting rules.

[1]  Jennifer Widom,et al.  Clustering association rules , 1997, Proceedings 13th International Conference on Data Engineering.

[2]  Yi-Chung Hu,et al.  Mining fuzzy association rules for classification problems , 2002 .

[3]  Ta-Wei Hung The bi-objective fuzzy c-means cluster analysis for TSK fuzzy system identification , 2007, Fuzzy Optim. Decis. Mak..

[4]  Shyi-Ming Chen,et al.  A New Method for Handling Fuzzy Classificatio nProblems Using Clustering Techniques , 2004 .

[5]  R. Fisher THE USE OF MULTIPLE MEASUREMENTS IN TAXONOMIC PROBLEMS , 1936 .

[6]  Yasuhiko Morimoto,et al.  Computing Optimized Rectilinear Regions for Association Rules , 1997, KDD.

[7]  Yasuhiko Morimoto,et al.  Mining optimized association rules for numeric attributes , 1996, J. Comput. Syst. Sci..

[8]  Baowen Xu,et al.  A classification method of fuzzy association rules , 2003, Second IEEE International Workshop on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications, 2003. Proceedings.

[9]  Yasuhiko Morimoto,et al.  Data mining using two-dimensional optimized association rules: scheme, algorithms, and visualization , 1996, SIGMOD '96.

[10]  Beatrice Lazzerini,et al.  A modified fuzzy C-means algorithm for feature selection , 2000, PeachFuzz 2000. 19th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.00TH8500).

[11]  Guoqing Chen,et al.  Fuzzy association rules and the extended mining algorithms , 2002, Inf. Sci..

[12]  M. H. Shenassa Classification based on Predictive Association Rules , 2006 .

[13]  Wai-Ho Au,et al.  FARM: a data mining system for discovering fuzzy association rules , 1999, FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315).

[14]  Yoichi Hayashi,et al.  Fuzzy neural expert system with automated extraction of fuzzy If-Then rules from a trained neural network , 1990, [1990] Proceedings. First International Symposium on Uncertainty Modeling and Analysis.

[15]  P. Bosc,et al.  On some fuzzy extensions of association rules , 2001, Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569).

[16]  Stan Matwin,et al.  Using Qualitative Models to Guide Inductive Learning , 1993, ICML.

[17]  Keith C. C. Chan,et al.  An effective algorithm for discovering fuzzy rules in relational databases , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[18]  Man Hon Wong,et al.  Finding Fuzzy Sets for the Mining of Fuzzy Association Rules for Numerical Attributes , 1998 .

[19]  Jiawei Han,et al.  Metarule-Guided Mining of Multi-Dimensional Association Rules Using Data Cubes , 1997, KDD.

[20]  E. Lander,et al.  Gene expression correlates of clinical prostate cancer behavior. , 2002, Cancer cell.

[21]  Yi-Chung Hu,et al.  Elicitation of classification rules by fuzzy data mining , 2003 .

[22]  Yi-Chung Hu,et al.  Discovering fuzzy association rules using fuzzy partition methods , 2003, Knowl. Based Syst..

[23]  R. Agarwal Fast Algorithms for Mining Association Rules , 1994, VLDB 1994.

[24]  Reda Alhajj,et al.  Integrating multi-objective genetic algorithms into clustering for fuzzy association rules mining , 2004, Fourth IEEE International Conference on Data Mining (ICDM'04).

[25]  Madan M. Gupta,et al.  Analysis and management of uncertainty : theory and applications , 1992 .

[26]  Ke Wang,et al.  Growing decision trees on support-less association rules , 2000, KDD '00.

[27]  Amitava Chatterjee,et al.  Influential rule search scheme (IRSS) - a new fuzzy pattern classifier , 2004, IEEE Transactions on Knowledge and Data Engineering.

[28]  Wynne Hsu,et al.  Integrating Classification and Association Rule Mining , 1998, KDD.

[29]  Jinyan Li,et al.  Efficient mining of emerging patterns: discovering trends and differences , 1999, KDD '99.

[30]  Jonathan M. Garibaldi,et al.  Application of the Fuzzy C-Means Clustering Method on the Analysis of non Pre- processed FTIR Data for Cancer Diagnosis , 2003 .

[31]  Shyi-Ming Chen,et al.  AUTOMATICALLY CONSTRUCTING MEMBERSHIP FUNCTIONS AND GENERATING FUZZY RULES USING GENETIC ALGORITHMS , 2002 .

[32]  Mark D. Plumbley,et al.  Cybernetics and Systems , 2018 .

[33]  Jiawei Han,et al.  CPAR: Classification based on Predictive Association Rules , 2003, SDM.

[34]  Ramakrishnan Srikant,et al.  Mining quantitative association rules in large relational tables , 1996, SIGMOD '96.

[35]  Etienne Kerre,et al.  Fuzzy Data Mining: Discovery of Fuzzy Generalized Association Rules+ , 2000 .

[36]  Detlef Nauck Using symbolic data in neuro-fuzzy classification , 1999, 18th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.99TH8397).

[37]  Bunyarit Uyyanonvara,et al.  Automatic exudates detection from diabetic retinopathy retinal image using fuzzy C-means and morphological methods , 2007 .

[38]  Jian Pei,et al.  CMAR: accurate and efficient classification based on multiple class-association rules , 2001, Proceedings 2001 IEEE International Conference on Data Mining.

[39]  Elena Baralis,et al.  A lazy approach to pruning classification rules , 2002, 2002 IEEE International Conference on Data Mining, 2002. Proceedings..

[40]  Hanif D. Sherali,et al.  A Global Optimization RLT-based Approach for Solving the Fuzzy Clustering Problem , 2005, J. Glob. Optim..

[41]  Renée J. Miller,et al.  Association rules over interval data , 1997, SIGMOD '97.

[42]  Keith C. C. Chan,et al.  Mining fuzzy association rules in a database containing relational and transactional data , 2001 .

[43]  Ramakrishnan Srikant,et al.  Fast algorithms for mining association rules , 1998, VLDB 1998.

[44]  Jian Pei,et al.  Mining frequent patterns without candidate generation , 2000, SIGMOD '00.

[45]  Keith C. C. Chan,et al.  Mining fuzzy association rules , 1997, CIKM '97.

[46]  Daniel Sánchez,et al.  Fuzzy association rules: general model and applications , 2003, IEEE Trans. Fuzzy Syst..

[47]  Michael J. Pazzani,et al.  Beyond Concise and Colorful: Learning Intelligible Rules , 1997, KDD.

[48]  Henri Prade,et al.  On fuzzy association rules based on fuzzy cardinalities , 2001, 10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297).