<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, a fuzzy finite element algorithm is investigated to determine static responses of plane structures. This algorithm concerns finite element method, fuzzy sets theory, and response surface method. Firstly, the notion of a standardized triangular fuzzy number is developed and utilized to replace original fuzzy numbers in the surrogate models. Then, the error estimations between the training and the test sets are performed to select the suitable response surface model amongst the regression models. Lastly, a good performance combination of complete and non-complete quadratic polynomial regression models is proposed to define the responses of structures. The merits of the proposed algorithm are illustrated via numerical examples.</p>
</abstract>

In this paper, a fuzzy finite element algorithm is investigated to determine static responses of plane structures. This algorithm concerns finite element method, fuzzy sets theory, and response surface method. Firstly, the notion of a standardized triangular fuzzy number is developed and utilized to replace original fuzzy numbers in the surrogate models. Then, the error estimations between the training and the test sets are performed to select the suitable response surface model amongst the regression models. Lastly, a good performance combination of complete and non-complete quadratic polynomial regression models is proposed to define the responses of structures. The merits of the proposed algorithm are illustrated via numerical examples.

Fuzzy Finite Element Analysis for Static Responses of Plane Structures

Civil and Environmental Engineering

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Fuzzy Finite Element Analysis for Static Responses of Plane Structures"}

In this paper, a fuzzy finite element algorithm is investigated to determine static responses of plane structures. This algorithm concerns finite element...

Fuzzy Finite Element Analysis for Static Responses of Plane Structures

Published Online: Dec 09, 2021

Page range: 420 - 437

DOI: https://doi.org/10.2478/cee-2021-0045

Keywords
Fuzzy sets theory, Fuzzy finite element, Response surface method, Possibility-probability transformations, Generalized similarity measure

© 2021 Tuan Hung Nguyen et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fuzzy Finite Element Analysis for Static Responses of Plane Structures

Published Online: Dec 09, 2021

Page range: 420 - 437

DOI: https://doi.org/10.2478/cee-2021-0045

KeywordsFuzzy sets theory, Fuzzy finite element, Response surface method, Possibility-probability transformations, Generalized similarity measure

© 2021 Tuan Hung Nguyen et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Fuzzy sets theory, Fuzzy finite element, Response surface method, Possibility-probability transformations, Generalized similarity measure