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Article

Boscovich Fuzzy Regression Line

by
Pavel Škrabánek
1,*,
Jaroslav Marek
2 and
Alena Pozdílková
2
1
Institute of Automation and Computer Science, Brno University of Technology, Technická 2896/2, 616 69 Brno, Czech Republic
2
Department of Mathematics and Physics, University of Pardubice, Studentská 95, 532 10 Pardubice, Czech Republic
*
Author to whom correspondence should be addressed.
Mathematics 2021, 9(6), 685; https://doi.org/10.3390/math9060685
Submission received: 27 February 2021 / Revised: 14 March 2021 / Accepted: 19 March 2021 / Published: 23 March 2021
(This article belongs to the Special Issue Recent Advances in Applications of Fuzzy Logic and Soft Computing)

Abstract

We introduce a new fuzzy linear regression method. The method is capable of approximating fuzzy relationships between an independent and a dependent variable. The independent and dependent variables are expected to be a real value and triangular fuzzy numbers, respectively. We demonstrate on twenty datasets that the method is reliable, and it is less sensitive to outliers, compare with possibilistic-based fuzzy regression methods. Unlike other commonly used fuzzy regression methods, the presented method is simple for implementation and it has linear time-complexity. The method guarantees non-negativity of model parameter spreads.
Keywords: fuzzy linear regression; non-symmetric triangular fuzzy number; least absolute value; Boscovich regression line; outlier fuzzy linear regression; non-symmetric triangular fuzzy number; least absolute value; Boscovich regression line; outlier

Share and Cite

MDPI and ACS Style

Škrabánek, P.; Marek, J.; Pozdílková, A. Boscovich Fuzzy Regression Line. Mathematics 2021, 9, 685. https://doi.org/10.3390/math9060685

AMA Style

Škrabánek P, Marek J, Pozdílková A. Boscovich Fuzzy Regression Line. Mathematics. 2021; 9(6):685. https://doi.org/10.3390/math9060685

Chicago/Turabian Style

Škrabánek, Pavel, Jaroslav Marek, and Alena Pozdílková. 2021. "Boscovich Fuzzy Regression Line" Mathematics 9, no. 6: 685. https://doi.org/10.3390/math9060685

APA Style

Škrabánek, P., Marek, J., & Pozdílková, A. (2021). Boscovich Fuzzy Regression Line. Mathematics, 9(6), 685. https://doi.org/10.3390/math9060685

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