Parameter estimation in fuzzy partial univariate linear regression model with non-fuzzy inputs and triangular fuzzy outputs

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Hesamian g.; AKBARI M.G.; SHAMS M.

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Journal: Iranian Journal of Fuzzy Systems Year:2021 | Volume:18 | Issue:2 Page(s): 51-64

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Information Journal Paper

Title

Parameter estimation in fuzzy partial univariate linear regression model with non-fuzzy inputs and triangular fuzzy outputs

Author(s)

Hesamian g. | AKBARI M.G. | SHAMS M. | Issue Writer Certificate

Keywords

Fuzzy partial linear modelQ2

kernel methodQ2

least absolute deviationQ2

optimal bandwidthQ2

goodness-of-fit measureQ2

Abstract

This paper proposed an extension for the classical partial univariate regression model with non-fuzzy inputs and triangular fuzzy output. For this purpose, the popular non-parametric estimator and the conventional arithmetic operations of triangular fuzzy numbers were combined to construct a fuzzy univariate regression model. Then, a hybrid algorithm was developed to estimate the bandwidth and fuzzy regression coefficient. Some common goodness-of-fit criteria were also used to examine the performance of the proposed method. The effectiveness of the proposed method was then illustrated through two numerical examples including a simulation study. The proposed method was also compared with several common fuzzy linear regression models with exact inputs and fuzzy outputs. Compared to the available fuzzy linear regressions models, the numerical results clearly indicated that the proposed fuzzy regression model is capable of exhibiting more accurate performances.

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APA: Copy

Hesamian, g., AKBARI, M.G., & SHAMS, M.. (2021). Parameter estimation in fuzzy partial univariate linear regression model with non-fuzzy inputs and triangular fuzzy outputs. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(2 ), 51-64. SID. https://sid.ir/paper/415543/en

Vancouver: Copy

Hesamian g., AKBARI M.G., SHAMS M.. Parameter estimation in fuzzy partial univariate linear regression model with non-fuzzy inputs and triangular fuzzy outputs. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2021;18(2 ):51-64. Available from: https://sid.ir/paper/415543/en

IEEE: Copy

g. Hesamian, M.G. AKBARI, and M. SHAMS, “Parameter estimation in fuzzy partial univariate linear regression model with non-fuzzy inputs and triangular fuzzy outputs,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 2 , pp. 51–64, 2021, [Online]. Available: https://sid.ir/paper/415543/en

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