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Year 2019, Volume 3 , Issue 0, Pages 1 - 8 2019-12-31

A Data Classification Method in Machine Learning Based on Normalised Hamming Pseudo-Similarity of Fuzzy Parameterized Fuzzy Soft Matrices

Samet MEMİŞ [1] , Serdar ENGİNOĞLU [2] , Uğur ERKAN [3]

Abstract

In this study, we propose a classification method based on normalised Hamming pseudo-similarity of fuzzy parameterized fuzzy soft matrices (fpfs-matrices). We then compare the proposed method with Fuzzy Soft Set Classifier (FSSC), FussCyier, Fuzzy Soft Set Classification Using Hamming Distance (HDFSSC), and Fuzzy k-Nearest Neighbor (Fuzzy kNN) in terms of the performance criterions (accuracy, precision, recall, and F-measure) and running time by using four medical data sets in the UCI machine learning repository. The results show that the proposed method performs better than FSSC, FussCyier, HDFSSC, and Fuzzy kNN for “Breast Cancer Wisconsin (Diagnostic)”, “Immunotherapy”, “Pima Indian Diabetes”, and “Statlog Heart”.

Keywords

Fuzzy Sets, Soft Sets, fpfs-Matrices, Similarity Measure, Data Classification

References

  • Atmaca, S. (2017). Relationship between fuzzy soft topological spaces and (X,τ_e) parameter spaces. Cumhuriyet Science Journal, 38(4-Supplement), 77-85.
  • Atmaca, S. (2019). Fuzzy soft separation axioms with sense of Ganguly and Saha. Afrika Matematika, 30, 777-785
  • Çağman, N., Çıtak, F., Enginoğlu, S. (2010). Fuzzy parameterized fuzzy soft set theory and its applications. Turkish Journal of Fuzzy Systems, 1(1), 21-35.
  • Çağman, N., Çıtak, F., Enginoğlu, S. (2011a). FP-soft set theory and its applications. Annals of Fuzzy Mathematics and Informatics, 2(2), 219-226.
  • Çağman, N., Deli, İ. (2012a). Means of FP-soft sets and their applications. Hacettepe Journal of Mathematics and Statistics, 41(5), 615-625.
  • Çağman, N., Deli, İ. (2012b). Products of FP-soft sets and their applications. Hacettepe Journal of Mathematics and Statistics, 41(3), 365-374.
  • Çağman, N., Enginoğlu, S. (2010). Soft matrix theory and its decision making. Computers and Mathematics with Applications, 59, 3308-3314.
  • Çağman, N., Enginoğlu, S. (2012). Fuzzy soft matrix theory and its application in decision making. Iranian Journal of Fuzzy Systems, 9(1), 109-119.
  • Çağman, N., Enginoğlu, S., Çıtak, F. (2011b). Fuzzy soft set theory and its applications. Iranian Journal of Fuzzy Systems, 8(3), 137-147.
  • Çıtak, F. (2018). Soft k-uni ideals of semirings and its algebraic applications. Journal of The Institute of Science and Technology, 8(4), 281-294.
  • Çıtak, F., Çağman, N. (2017). Soft k-int-ideals of semirings and its algebraic structures. Annals of Fuzzy Mathematics and Informatics, 13(4), 531-538.
  • Deli, İ., Çağman, N. (2015). Relations on FP-soft sets applied to decision making problems. Journal of New Theory, 3, 98-107.
  • Dua, D., Graff, C. (2019). UCI Machine Learning Repository. University of California, Irvine, School of Information and Computer Sciences. http://archive.ics.uci.edu/ml (Date Accessed: 10.06.2019).
  • Enginoğlu, S. (2012). Soft matrices, PhD Dissertation. Tokat Gaziosmanpaşa University, Tokat, Turkey.
  • Enginoğlu, S., Çağman, N. Fuzzy parameterized fuzzy soft matrices and their application in decision-making. TWMS Journal of Applied and Engineering Mathematics, (In Press).
  • Enginoğlu, S., Çağman, N., Karataş, S., Aydın, T. (2015). On soft topology. El-Cezerî Journal of Science and Engineering, 2(3), 23-38.
  • Enginoğlu, S., Memiş, S. (2018a). Comment on fuzzy soft sets [The Journal of Fuzzy Mathematics 9(3), 2001, 589–602]. International Journal of Latest Engineering Research and Applications, 3(9), 1-9.
  • Enginoğlu, S., Memiş, S. (2018b). A configuration of some soft decision-making algorithms via fpfs-matrices. Cumhuriyet Science Journal, 39(4), 871-881.
  • Enginoğlu, S., Memiş, S. (2018c). A review on an application of fuzzy soft set in multicriteria decision making problem [P. K. Das, R. Borgohain, International Journal of Computer Applications 38 (2012) 33–37]. M. Akgül, İ. Yılmaz, A. İpek (Eds.) International conference on mathematical studies and applications 2018 (pp. 173-178). Karaman, Turkey.
  • Enginoğlu, S., Memiş, S. (2018d). A review on some soft decision-making methods. M. Akgül, İ. Yılmaz, A. İpek (Eds.) International conference on mathematical studies and applications 2018 (pp. 437-442). Karaman, Turkey.
  • Enginoğlu, S., Memiş, S., Arslan, B. (2018a). Comment (2) on soft set theory and uni-int decision-making [European Journal of Operational Research, (2010) 207, 848–855]. Journal of New Theory, 25, 84-102.
  • Enginoğlu, S., Memiş, S., Arslan, B. (2018b). A fast and simple soft decision-making algorithm: EMA18an. M. Akgül, İ. Yılmaz, A. İpek (Eds.) International conference on mathematical studies and applications 2018 (pp. 428-436). Karaman, Turkey.
  • Enginoğlu, S., Memiş, S., Öngel, T. (2018c). Comment on soft set theory and uni-int decision-making [European Journal of Operational Research, (2010) 207, 848–855]. Journal of New Results in Science, 7(3), 28-43.
  • Enginoğlu, S., Memiş, S., Öngel, T. (2018d). A fast and simple soft decision-making algorithm: EMO18o. M. Akgül, İ. Yılmaz, A. İpek (Eds.) International conference on mathematical studies and applications 2018 (pp. 179–186). Karaman, Turkey.
  • Handaga, B., Onn, H., Herawan, T. (2012). FSSC: An algorithm for classifying numerical data using fuzzy soft set theory. International Journal of Fuzzy System Applications, 3(4), 29-46.
  • Jana, C., Pal, M., Karaaslan, F., Sezgin, A. (2019). (α,β)-soft intersectional rings and ideals with their applications. New Mathematics and Natural Computation, 15(2), 333-350.
  • Karaaslan, F. (2019a). Some properties of AG*-groupoids and AG-bands under SI-product operation. Journal of Intelligent & Fuzzy Systems, 36(1), 231-239.
  • Karaaslan, F. (2019b). Hesitant fuzzy graphs and their applications in decision making. Journal of Intelligent & Fuzzy Systems, 36(3), 2729-2741.
  • Keller, J. M., Gray, M. R., Given, J. A. (1985). A fuzzy k-nearest neighbor algorithm. IEEE Transactions on Systems, Man, and Cybernetics, 15(4), 580-585.
  • Lashari, S. A., Ibrahim, R., Senan, N. (2017). Medical data classification using similarity measure of fuzzy soft set based distance measure. Journal of Telecommunication, Electronic and Computer Engineering, 9(2–9), 95-99.
  • Maji, P. K., Biswas, R., Roy, A. R. (2001). Fuzzy soft sets. The Journal of Fuzzy Mathematics, 9(3), 589-602.
  • Molodtsov, D. (1999). Soft set theory-first results. Computers and Mathematics with Applications, 37(4-5), 19-31.
  • Riaz, M., Hashmi, R. (2017). Fuzzy parameterized fuzzy soft topology with applications. Annals of Fuzzy Mathematics and Informatics, 13(5), 593-613.
  • Riaz, M., Hashmi, R. (2018). Fuzzy parameterized fuzzy soft compact spaces with decision-making. Punjab University Journal of Mathematics, 50(2), 131-145.
  • Riaz, M., Hashmi, R., Farooq, A. (2018). Fuzzy parameterized fuzzy soft metric spaces. Journal of Mathematical Analysis, 9(2), 25-36.
  • Sezgin, A., Ahmad, S., Mehmood, A. (2019a). A New Operation on Soft Sets: Extended Difference of Soft Sets. Journal of New Theory, 27, 33-42.
  • Sezgin, A., Çağman, N., Çıtak, F. (2019b). α-inclusions applied to group theory via soft set and logic. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 334-352.
  • Şenel, G. (2016). A new approach to Hausdorff space theory via the soft sets. Mathematical Problems in Engineering, 2016, Article ID 2196743, 6 pages.
  • Şenel, G. (2018a). Analyzing the locus of soft spheres: Illustrative cases and drawings. European Journal of Pure and Applied Mathematics, 11(4), 946-957.
  • Şenel, G. (2018b). The relation between soft topological space and soft ditopological space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(2), 209-219.
  • Yanto, I. T. R., Seadudin, R. R., Lashari, S. A., Haviluddin. (2018). A numerical classification technique based on fuzzy soft set using hamming distance. In: R. Ghazali, M. M. Deris, N. M. Nawi, J. H. Abawajy (Eds.) Third international conference on soft computing and data mining (pp. 252-260). Johor, Malaysia.
  • Zorlutuna, İ., Atmaca, S. (2016). Fuzzy parametrized fuzzy soft topology. New Trends in Mathematical Sciences, 4(1), 142-152

Details

Primary Language en
Subjects Engineering, Multidisciplinary
Journal Section Research Articles
Authors

Orcid: 0000-0002-0958-5872
Author: Samet MEMİŞ (Primary Author)
Institution: CANAKKALE ONSEKIZ MART UNIVERSITY
Country: Turkey

Orcid: 0000-0002-7188-9893
Author: Serdar ENGİNOĞLU
Institution: CANAKKALE ONSEKIZ MART UNIVERSITY
Country: Turkey

Author: Uğur ERKAN
Institution: KARAMANOGLU MEHMETBEY UNIVERSITY
Country: Turkey
Thanks The authors thank Dr Uğur Erkan for technical support.
Dates

Publication Date : December 31, 2019

Cite

APA Memiş, S , Enginoğlu, S , Erkan, U . (2019). A Data Classification Method in Machine Learning Based on Normalised Hamming Pseudo-Similarity of Fuzzy Parameterized Fuzzy Soft Matrices . Bilge International Journal of Science and Technology Research , ICONST 2019 , 1-8 . DOI: 10.30516/bilgesci.643821

Cited By

CONFIGURATIONS OF SEVERAL SOFT DECISION-MAKING METHODS TO OPERATE IN FUZZY PARAMETERIZED FUZZY SOFT MATRICES SPACE
Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering
Serdar ENGİNOĞLU
https://doi.org/10.18038/estubtda.562578
Authors of the Article
Samet MEMİŞ [1]
Serdar ENGİNOĞLU [2]
Uğur ERKAN [3]
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