The failure criterion of structural serviceability is often fuzzy, which has a direct impact on the results of structural reliability analysis. Membership function is a basic mathematical tool to describe the fuzziness of failure criteria. At present, the fuzzy statistical method for generating the fuzzy set membership function is to take the numerical interval of the fuzzy set as a sample, and directly generate the membership function through statistics. However, this kind of sample will cover the uncertainty of the individual’s understanding of fuzzy boundaries to a certain extent, and its statistical results are difficult to truly reflect the characteristics of fuzzy sets. The fuzzy boundary is described by the membership density function, and the numerical interval covering the fuzzy boundary is taken as the sample. The fuzzy statistical method for generating the membership density function is proposed, and the indirect statistical method for generating the membership function is established. The comparative analysis results show that the membership functions generated by the two statistical methods are different. The membership function generated by indirect statistical method can fully reflect the uncertainty of the individual’s understanding of the fuzzy boundary, more truly reflect the characteristics of the fuzzy set, and provide a more solid foundation for the fuzzy probability analysis of structural serviceability.
The Statistical Methods of Membership Function in Structural Serviceability Failure Criterion
KSCE J Civ Eng
KSCE Journal of Civil Engineering ; 25 , 11 ; 4314-4321
01.11.2021
8 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
SAE | 1978
|British Library Conference Proceedings | 1998
|Kraftfahrwesen | 1978
|Kraftfahrwesen | 1980
|Engineering Index Backfile | 1956
|