Abstract
This paper presents the application of optimistic and pessimistic similarity measures of interval-valued fuzzy sets (IVFS) to the problem of selecting relevant attributes as input to classification algorithms. The paper presents a modified IV-Relief algorithm using the aforementioned measures. The theoretical considerations are supported by the analysis of the effectiveness of the proposed algorithm on a well-known breast cancer diagnostic data-set. The proposed methods extend existing classification methods so that they work on uncertain data.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Zadeh, L.A.: Fuzzy sets. Inf. Contr. 8, 338–353 (1965)
Dyczkowski, K.: Intelligent Medical Decision Support System Based on Imperfect Information. SCI, vol. 735. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-67005-8
Kira, K., Rendell, L.A.: A practical approach to feature selection. In: Proceedings of the 9th International Workshop on Machine Learning, pp. 249–256 (1992)
Chapelle, O., Keerthi, S., Chapelle, O., Keerthi, S.: Multi-class feature selection with support vector machines. In: Proceedings of the American Statistical Association, ASA, Denver, CO, USA, 3–7 August (on CD-ROM) (2008)
Urbanowicz, R.J., Meekerb, M., La Cavaa, W., Olsona, R.S., Moore, J.H.: Relief-based feature selection: introduction and review. J. Biomed. Inform. 85, 189–203 (2018)
Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning. Inf. Sci. 8, 199–251, 301–357 (1975). Inf. Sci. 9, pp. 43–80, 1975
Sambuc, R.: Fonctions \(\phi \)-floues: application á l’aide au diagnostic en pathologie thyroidienne. Ph.D. Thesis, Universit\(\acute{e}\) de Marseille, France (in French) (1975)
Bustince, H., Fernandez, J., et al.: Generation of linear orders for intervals by means of aggregation functions. Fuzzy Sets Syst. 220, 69–77 (2013)
Zapata, H., Bustince, H., Montes, S., Bedregal, B., et al.: Interval-valued implications and interval-valued strong equality index with admissible orders. Int. J. Appr. Reas. 88, 91–109 (2017)
Komorníková, M., Mesiar, R.: Aggregation functions on bounded partially ordered sets and their classification. Fuzzy Sets Syst. 175, 48–56 (2011)
Pękala, B.: Uncertainty Data in Interval-Valued Fuzzy Set Theory. SFSC, vol. 367. Springer, Cham (2019). https://doi.org/10.1007/978-3-319-93910-0
Bustince, H.: Indicator of inclusion grade for interval-valued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets. Int. J. Appr. Reas. 23(3), 137–209 (2000)
Takáč, Z., Minárová, M., Montero, J., Barrenechea, E., Fernandez, J., Bustince, H.: Interval-valued fuzzy strong S-subsethood measures, interval-entropy and P-interval-entropy. Inf. Sci. 432, 97–115 (2018)
Pȩkala, B., et al.: Interval subsethood measures with respect to uncertainty for interval-valued fuzzy setting. Int. J. Comp. Int. Syst. 3, 167–177 (2020)
Pȩkala, B., Dyczkowski, K., Grzegorzewski, P., Bentkowska, U.: Inclusion and similarity measures for interval-valued fuzzy sets based on aggregation and uncertainty assessment. Inf. Sci. 547, 1182–1200 (2021)
Asiain, M.J., Bustince, H., Mesiar, R., Kolesarova, A., Takac, Z.: Negations with respect to admissible orders in the interval-valued fuzzy set theory. IEEE Trans. Fuzzy Syst. https://doi.org/10.1109/TFUZZ.2017.2686372
Bentkowska, U.: New types of aggregation functions for interval-valued fuzzy setting and preservation of pos-B and nec-B-transitivity in decision making problems. Inf. Sci. 424, 385–399 (2018)
Bustince, H., Marco-Detchart, C., Fernandez, J., Wagner, C., Garibaldi, J.M., Takáč, Z.: Similarity between interval-valued fuzzy sets taking into account the width of the intervals and admissible orders. Fuzzy Sets Syst. 390, 23–47 (2020)
Jović, A., Brkić, K., Bogunović, N.: A review of feature selection methods with applications. In: 38th International Convention on Information and Communication Technology, Electronics and Microelectronics, pp. 1200–1205. IEEE (2015)
Tang, J., Alelyani, S., Liu, H.: Feature selection for classification: a review. In: Data Classification: Algorithms and Applications, pp. 37–64 (2014)
Srivastava, M.S., Joshi, M.N., Gaur, M.M.: A review paper on feature selection methodologies and their applications. Int. J. Eng. Res. Dev. 7(6), 57–61 (2013)
Pȩkala, B., Dyczkowski, K., Szkoła, J., Kosior, D.: Classification of uncertain data with a selection of relevant features based on similarities measures of Interval-Valued Fuzzy Sets. In: IEEE International Conference on Fuzzy System, pp. 1–8 (2021)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 Springer Nature Switzerland AG
About this paper
Cite this paper
Pękala, B., Dyczkowski, K., Szkoła, J., Kosior, D. (2022). Selection of Relevant Features Based on Optimistic and Pessimistic Similarities Measures of Interval-Valued Fuzzy Sets. In: Ciucci, D., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2022. Communications in Computer and Information Science, vol 1601. Springer, Cham. https://doi.org/10.1007/978-3-031-08971-8_26
Download citation
DOI: https://doi.org/10.1007/978-3-031-08971-8_26
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-08970-1
Online ISBN: 978-3-031-08971-8
eBook Packages: Computer ScienceComputer Science (R0)