Investigation on objective function and assessment rule in fuzzy regressions based on equality possibility, fuzzy union and intersection concepts

Shakouri, G Hamed; Nadimi, Reza; Ghaderi, S.F.

doi:10.1016/j.cie.2017.05.032

Cited by 14 publications

(2 citation statements)

References 29 publications

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“…The linear and polynomial regression can be easily obtained by solving a least-squares problem; however, other regression methods can be used to adjust the curve, such as lasso, ridge, and fuzzy regression [40,41]. While lasso and ridge regression can be used to better select the features that represent the model, fuzzy regression can be used to consider the uncertainties of the coefficients in a linear regression (i.e., when the relationship between model parameters are vague) [42].…”

Section: Parameter Optimizationmentioning

confidence: 99%

Electric Field Evaluation Using the Finite Element Method and Proxy Models for the Design of Stator Slots in a Permanent Magnet Synchronous Motor

et al. 2020

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The efficiency of electric motors is being improved every day and projects with design variations can improve their performance. Among electric motors, the Permanent Magnet Synchronous Machine (PMSM) is being increasingly used, because of its growing use in electric vehicles. Simulating design variations using the Finite Element Method (FEM) can improve PMSM design, and by optimizing the parameters based on the FEM, even better results can be achieved. The design of the PMSM stator slots must be evaluated, as conductors are accommodated and an electrical potential is applied at this location. The FEM parameters are varied, and the results can be used to build an approximate model, known as a proxy model. The proxy model can then be used in a mathematical programming problem to optimize the design of stators that have less electric field in certain regions, thus reducing the chance of developing a failure. The results of the proposed methodology show that its application is promising for machine design and can also be used for the design of other systems.

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Section: Parameter Optimizationmentioning

confidence: 99%

Electric Field Evaluation Using the Finite Element Method and Proxy Models for the Design of Stator Slots in a Permanent Magnet Synchronous Motor

et al. 2020

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“…For instance, it could be investigated the use of more sophisticated objective functions which will contain both the centers and the widths of the fuzzy coefficients. Hence, a new objective function could try either to increase the possibility of equality between the observations and fuzzy intervals (Shakouri et al, 2017) or could incorporate simultaneously with the fuzzy spreads the sum of possibility grade in the objective function (Yoshiyuki, 2017). Alternatively, ideas from goal programming could be applied in order to reduce the impact of outliers (Kitsikoudis et al, 2016) and hence, the objective function is changed accordingly.…”

Section: Application In Case Of Annual Rainfall Time Seriesmentioning

confidence: 99%

A Hybrid Fuzzy Regression-Based Methodology for Normal Distribution (Case Study: Cumulative Annual Precipitation)

Spiliotis

Angelidis

Papadopoulos

2018

IFIP Advances in Information and Communication Technology

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An advantage of the probabilistic approach is the exploitation of the observed probability values in order to test the goodness-of-fit for the examined theoretical probability distribution function (pdf). Since in fact, the interest of the engineers is to determine the hydrological variable which corresponds to a selected return period, a fuzzy linear relation between the standardized normal variable Z and the examined hydrologic random variable is achieved in condition that the hydrological variable is normally distributed. In this work, for the first time, the implementation of the fuzzy linear regression of Tanaka is proposed, to achieve a fuzzy relation between the standardized variable Z and the annual cumulative precipitation. Thus, all the historical data are included in the produced fuzzy band. The proposed innovative methodology provides the opportunity to achieve simultaneously a fuzzy assessment of the mean value and the standard deviation based on the solution of the fuzzy linear regression. The suitability test of the examined theoretical pdf is founded on the comparison of the spread of the fuzzy band and the distance between the achieved central values of the mean value and the standard deviation with the unbiased statistical estimation of the same variables.

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AI Applications to Kaizen Management

Chen

Wang

2022

Artificial Intelligence and Lean Manufacturing

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Investigation on objective function and assessment rule in fuzzy regressions based on equality possibility, fuzzy union and intersection concepts

Cited by 14 publications

References 29 publications

Electric Field Evaluation Using the Finite Element Method and Proxy Models for the Design of Stator Slots in a Permanent Magnet Synchronous Motor

Electric Field Evaluation Using the Finite Element Method and Proxy Models for the Design of Stator Slots in a Permanent Magnet Synchronous Motor

A Hybrid Fuzzy Regression-Based Methodology for Normal Distribution (Case Study: Cumulative Annual Precipitation)

AI Applications to Kaizen Management

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