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Axiomatic fuzzy set theory-based fuzzy oblique decision tree with dynamic mining fuzzy rules

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Abstract

This paper proposes a novel classification technology—fuzzy rule-based oblique decision tree (FRODT). The neighborhood rough sets-based FAST feature selection (NRS_FS_FAST) is first introduced to reduce attributes. In the axiomatic fuzzy set theory framework, the fuzzy rule extraction algorithm is then proposed to dynamically extract fuzzy rules. And these rules are regarded as the decision function during the tree construction. The FRODT is developed by expanding the unique non-leaf node in each layer of the tree, which results in a new tree structure with linguistic interpretation. Moreover, the genetic algorithm is implemented on \(\sigma \) to obtain the balanced results between classification accuracy and tree size. A series of comparative experiments are carried out with five classical classification algorithms (C4.5, BFT, LAD, SC and NBT), and recently proposed decision tree HHCART on 20 UCI data sets. Experiment results show that the FRODT exhibits better classification performance on accuracy and tree size than those of the rival algorithms.

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References

  1. López-Chau A, Cervantes J, López-Garca L, Lamont FG (2013) Fisher’s decision tree. Expert Syst Appl 40(16):6283–6291

    Article  Google Scholar 

  2. Mirzamomen Z, Kangavari MR (2017) A framework to induce more stable decision trees for pattern classification. Pattern Anal Appl 20(4):991–1004

    Article  MathSciNet  Google Scholar 

  3. Manwani N, Sastry PS (2012) Geometric decision tree. IEEE Trans Syst Man Cybernet Part B (Cybernet) 42(1):181–192

    Article  Google Scholar 

  4. Kevric J, Jukic S, Subasi A (2017) An effective combining classifier approach using tree algorithms for network intrusion detection. Neural Comput Appl 28(1):1051–1058

    Article  Google Scholar 

  5. Breiman L (2017) Classification and regression trees. Routledge, Abingdon

    Book  Google Scholar 

  6. Azar AT, El-Metwally SM (2013) Decision tree classifiers for automated medical diagnosis. Neural Comput Appl 23(7–8):2387–2403

    Article  Google Scholar 

  7. Quinlan JR (2014) C4.5: programs for machine learning. Elsevier, Amsterdam

    Google Scholar 

  8. Sok HK, Ooi MP, Kuang YC (2016) Multivariate alternating decision trees. Pattern Recogn 50:195–209

    Article  Google Scholar 

  9. Kumar PS, Yung Y, Huan TL (2017) Neural network based decision trees using machine learning for alzheimer’s diagnosis. Int J Comput Inf Sci 4(11):63–72

    Google Scholar 

  10. Wu CC, Chen YL, Liu YH (2016) Decision tree induction with a constrained number of leaf nodes. Appl Intell 45(3):673–685

    Article  Google Scholar 

  11. Shukla SK, Tiwari MK (2012) GA guided cluster based fuzzy decision tree for reactive ion etching modeling: a data mining approach. IEEE Trans Semicond Manuf 25(1):45–56

    Article  Google Scholar 

  12. Liu X, Feng X, Pedrycz W (2013) Extraction of fuzzy rules from fuzzy decision trees: an axiomatic fuzzy sets (AFS) approach. Data Knowl Eng 84:1–25

    Article  Google Scholar 

  13. Segatori A, Marcelloni F, Pedrycz W (2018) On distributed fuzzy decision trees for big data. IEEE Trans Fuzzy Syst 26(1):174–192

    Article  Google Scholar 

  14. Han NM, Hao NC (2016) An algorithm to building a fuzzy decision tree for data classification problem based on the fuzziness intervals matching. J Comput Sci Cybernet 32(4):367–380

    Google Scholar 

  15. Sardari S, Eftekhari M, Afsari F (2017) Hesitant fuzzy decision tree approach for highly imbalanced data classification. Appl Soft Comput 61:727–741

    Article  Google Scholar 

  16. Tan PJ, Dowe DL (2006) Decision forests with oblique decision trees. In: Mexican international conference on artificial intelligence, Springer, Berlin, Heidelberg, pp 593–603

  17. Cantu-Paz E, Kamath C (2003) Inducing oblique decision trees with evolutionary algorithms. IEEE Trans Evol Comput 7(1):54–68

    Article  Google Scholar 

  18. Do TN, Lenca P, Lallich S (2015) Classifying many-class high-dimensional fingerprint datasets using random forest of oblique decision trees. Vietnam J Comput Sci 2(1):3–12

    Article  Google Scholar 

  19. Barros RC, Jaskowiak PA, Cerri R (2014) A framework for bottom-up induction of oblique decision trees. Neurocomputing 135:3–12

    Article  Google Scholar 

  20. Patil SP, Badhe SV (2015) Geometric approach for induction of oblique decision tree. Int J Comput Sci Inf Technol 5(1):197–201

    Google Scholar 

  21. Rivera-Lopez R, Canul-Reich J (2017) A global search approach for inducing oblique decision trees using differential evolution. In: Canadian conference on artificial intelligence, Springer, Cham, pp 27–38

  22. Wickramarachchi DC, Robertson BL, Reale M et al (2016) HHCART: an oblique decision tree. Comput Stat Data Anal 96:12–23

    Article  MathSciNet  MATH  Google Scholar 

  23. Wang C, Shao M, He Q, Qian Y, Qi Y (2016) Feature subset selection based on fuzzy neighborhood rough sets. Knowl-Based Syst 111:173–179

    Article  Google Scholar 

  24. He Q, Xie Z, Hu Q, Wu C (2011) Neighborhood based sample and feature selection for svm classification learning. Neurocomputing 74(10):1585–1594

    Article  Google Scholar 

  25. Zhang DW, Wang P, Qiu JQ, Jiang Y (2010) An improved approach to feature selection. In: International conference on machine learning and cybernetics, pp 488–493

  26. Liu X (1998) The fuzzy sets and systems based on AFS structure, EI algebra and EII algebra. Fuzzy Sets Syst 95(2):179–188

    Article  MathSciNet  MATH  Google Scholar 

  27. Liu X, Chai T, Wang W, Liu W (2007) Approaches to the representations and logic operations of fuzzy concepts in the framework of axiomatic fuzzy set theory i. Inf Sci 177(4):1007–1026

    Article  MathSciNet  MATH  Google Scholar 

  28. Wang B, Liu XD, Wang LD (2015) Mining fuzzy association rules in the framework of AFS theory. Ann Data Sci 2(3):261–270

    Article  Google Scholar 

  29. Menga E, Dan A, Lu J, Liu X (2015) Ranking alternative strategies by SWOT analysis in the framework of the axiomatic fuzzy set theory and the ER approach. J Intell Fuzzy Syst 28(4):1775–1784

    Article  Google Scholar 

  30. Burra LR, Poosapati P (2016) A study of notations and illustrations of axiomatic fuzzy set theory. Int J Comput Appl 134(11):7–12

    Google Scholar 

  31. Li Z, Duan X, Zhang Q, Wang C, Wang Y, Liu W (2017) Multi-ethnic facial features extraction based on axiomatic fuzzy set theory. Neurocomputing 242:161–177

    Article  Google Scholar 

  32. Zadeh LA (1997) Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets Syst 90(2):111–127

    Article  MathSciNet  MATH  Google Scholar 

  33. Agrawal R, Imielinski T, Swami A (1993) Database mining: a performance perspective. IEEE Trans Knowl Data Eng 5(6):914–925

    Article  Google Scholar 

  34. Wang X, Liu X, Pedrycz W, Zhu X, Hu G (2012) Mining axiomatic fuzzy set association rules for classification problems. Eur J Oper Res 218(1):202–210

    Article  MathSciNet  MATH  Google Scholar 

  35. Shi H (2007) Best-first decision tree learning. University of Waikato, Hamilton

    Google Scholar 

  36. Holmes G, Pfahringer B, Kirkby R, Frank E, Hall M (2002) Multiclass alternating decision trees. Springer, Berlin

    Book  MATH  Google Scholar 

  37. Kohavi R (1996) Scaling up the accuracy of naive-bayes classifiers:a decision-tree hybrid. In: Second international conference on knowledge discovery and data mining

  38. Witten IH, Frank E, Hall MA, Pal CJ (2016) Data mining: practical machine learning tools and techniques. Morgan Kaufmann, Burlington

    Google Scholar 

  39. Ar J (2006) Statistical comparisons of classifiers over multiple data sets. J Mach Learn Res 7(1):1–30

    MathSciNet  Google Scholar 

  40. Creamer G, Freund Y (2010) Using boosting for financial analysis and performance prediction: application to s&p 500 companies, latin american adrs and banks. Comput Econ 36(2):133–151

    Article  Google Scholar 

  41. Liu C, Sun K, Rather ZH, Chen Z, Bak CL, Thøgersen P, Lund P (2013) A systematic approach for dynamic security assessment and the corresponding preventive control scheme based on decision trees. IEEE Trans Power Syst 29(2):717–730

    Article  Google Scholar 

  42. Al Snousy MB, El-Deeb HM, Badran K, Al Khlil IA (2011) Suite of decision tree-based classification algorithms on cancer gene expression data. Egypt Inform J 12(2):73–82

    Article  Google Scholar 

  43. Sindhu SSS, Geetha S, Kannan A (2012) Decision tree based light weight intrusion detection using a wrapper approach. Expert Syst Appl 39(1):129–141

    Article  Google Scholar 

  44. Yu Z, Haghighat F, Fung BC, Yoshino H (2010) A decision tree method for building energy demand modeling. Energy Build 42(10):1637–1646

    Article  Google Scholar 

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Acknowledgements

We are very grateful to all the anonymous editors and reviewers, as well as to all the co-authors for their contributions. Moreover, we would like to acknowledge the National Natural Science Foundation of China (61433004, 61627809, 61621004), and the Liaoning Revitalization Talents Program (XLYC1801005).

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Correspondence to Huaguang Zhang.

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Cai, Y., Zhang, H., Sun, S. et al. Axiomatic fuzzy set theory-based fuzzy oblique decision tree with dynamic mining fuzzy rules. Neural Comput & Applic 32, 11621–11636 (2020). https://doi.org/10.1007/s00521-019-04649-0

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  • DOI: https://doi.org/10.1007/s00521-019-04649-0

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