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A strong intuitionistic fuzzy feature association map-based feature selection technique for high-dimensional data

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Abstract

In this work, a graph-based approach has been adopted for feature selection in case of high-dimensional data. Feature selection intends to identify an optimal feature subset to solve the given learning problem. In an optimal feature subset, only relevant features are selected as “members” and features that have redundancy are considered as “non-members”. This concept of “membership” and “non-membership” of a feature to an optimal feature subset has been represented by a strong intuitionistic fuzzy graph. The algorithm proposed in this work at first maps the feature set of the data as the vertex set of a strong intuitionistic fuzzy graph. Then the association between features represented as an edge-set is decided by the degree of hesitation between the features. Based on the feature association, the Strong Intuitionistic Fuzzy Feature Association Map (SIFFAM) is developed for the datasets. Then a sub-graph of SIFFAM is derived to identify features with maximal non-redundancy and relevance. Finally, the SIFFAM based feature selection algorithm is applied on very high dimensional datasets having features of the order of thousand. Empirically, the proposed approach SIFFAM based feature selection algorithm is found to be competitive with several benchmark feature selection algorithms in the context of high-dimensional data.

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References

  1. Guyon I and Elisseeff A 2003 An introduction to variable and feature selection. J. Mach. Learn. Res. 3:1157–1182

    MATH  Google Scholar 

  2. Swarnkar T and Mitra P 2015 Graph-based unsupervised feature selection and multiview clustering for microarray data. J. Biosci. 40:755–767

    Article  Google Scholar 

  3. Shukla A K, Singh P, and Vardhan M 2018 A hybrid gene selection method for microarray recognition

  4. Yu L and Liu H 2004 Redundancy based feature selection for microarray data. In KDD ’04

  5. Gal Y, Islam R, and Ghahramani Z 2017 Deep bayesian active learning with image data. ArXiv abs/1703.02910

  6. Ganesan J and Inbarani H H 2016 Hybrid tolerance rough set-firefly based supervised feature selection for mri brain tumor image classification. Appl. Soft Comput. 46: 639–651

    Article  Google Scholar 

  7. Leopold E and Kindermann J 2002 Text categorization with support vector machines. How to represent texts in input space? Mach. Learn. 46: 423–444

    Article  Google Scholar 

  8. Nigam K, McCallum A, Thrun S, and Mitchell T M 2000 Text classification from labeled and unlabeled documents using em. Mach. Learn. 39: 103–134

    Article  Google Scholar 

  9. Feng G, Guo J, Jing B Y, and Sun T 2015 Feature subset selection using naive bayes for text classification. Pattern Recogn. Lett. 65: 109–115

    Article  Google Scholar 

  10. Bolón-Canedo V, Sánchez-Maroño N, and Alonso-Betanzos A 2015 Feature selection for high-dimensional data. In: Artificial Intelligence: Foundations, Theory, and Algorithms

  11. Chandrashekar G and Sahin F 2014 A survey on feature selection methods. Comput. Electric. Eng. 40: 16–28

    Article  Google Scholar 

  12. Bandyopadhyay S, Bhadra T, Mitra P, and Maulik U 2014 Integration of dense subgraph finding with feature clustering for unsupervised feature selection. Pattern Recogn. Lett. 40: 104–112

    Article  Google Scholar 

  13. Das A K, Kumar S, Jain S, Goswami S, Chakrabarti A, and Chakraborty B 2019 An information-theoretic graph-based approach for feature selection. Sādhanā 45(1): 11

    Article  MathSciNet  Google Scholar 

  14. Akram M and Davvaz B 2012 Strong intuitionistic fuzzy graphs

  15. Atanassov K T 1986 Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20: 87–96

    Article  Google Scholar 

  16. Atanassov K T 1986 More on intuitionistic fuzzy sets. Fuzzy Sets Syst. 33: 37–46

    Article  MathSciNet  Google Scholar 

  17. Atanassov K T 1999 Intuitionistic fuzzy sets. Physica-Verlag, Heidelberg

    Book  Google Scholar 

  18. Atanassov K T 2012 On intuitionistic fuzzy sets theory. Stud. Fuzziness Soft Comput.

  19. Zadeh L A 1965 Fuzzy sets. Inf. Control 8: 338–353

    Article  Google Scholar 

  20. Rosenfeld A 1975 Fuzzy graphs, fuzzy sets and their applications. Academic Press, New York, pp. 77–95

    Google Scholar 

  21. Pal S K and Chakraborty B 1986 Fuzzy set theoretic measure for automatic feature evaluation. IEEE Trans. Syst. Man Cybern. 16: 754–760

    Article  Google Scholar 

  22. Atanassov K T and Shannon A 1994 A first step to a theory of the intuitionistic fuzzy graphs. In: Proceeding of FUBEST (D. Lakov, Ed.) Sofia, pp. 59–61

  23. Atanassov K T, Pasi G, Yager R, and Atanassova V 2003 Intuitionistic fuzzy graph interpretations of multi-person multi-criteria decision making. In: EUSFLAT Conference, pp. 177–182

  24. Karunambigai M G and Parvathi R 2006 Intuitionistic fuzzy graphs. J. Comput. Intell. Theory Appl. 139–150

  25. Atanassov K T, Parvathi R and Karunambigai M G 2009 Operations on intuitionistic fuzzy graphs, fuzzy systems. In: IEEE International Conference, FUZZ-IEEE 2009, pp. 1396–1401

  26. De S K, Biswas R and Roy A R 2001 An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets Syst. 117: 209–213

    Article  Google Scholar 

  27. Li J, Cheng K, Wang S, Morstatter F, Trevino R P, Tang J and Liu H 2017 Feature selection: a data perspective. ACM Comput. Surv. 50: 94:1–94:45

  28. Kononenko I 1994 Estimating attributes: analysis and extension of relief. In: Proceedings of the Sixth European Conference on Machine Learning, pp. 171–182

  29. Dietterich T G, Almuallim H 1994 Learning boolean concepts in the presence of many irrelevant features. Artif. Intell. 69(1–2):279–305

    MathSciNet  MATH  Google Scholar 

  30. Song Q, Ni J and Wang G 2013 A fast clustering-based feature subset selection algorithm for high-dimensional data. IEEE Trans. Knowl. Data Eng. 25: 1–14

    Article  Google Scholar 

Download references

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Correspondence to Basabi Chakraborti.

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Das, A.K., Goswami, S., Chakrabarti, A. et al. A strong intuitionistic fuzzy feature association map-based feature selection technique for high-dimensional data. Sādhanā 45, 242 (2020). https://doi.org/10.1007/s12046-020-01475-2

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  • DOI: https://doi.org/10.1007/s12046-020-01475-2

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