An advanced sampling technique for possibilistic uncertainty propagation. (15th January 2021)

• Record Type: Journal Article
• Authors: Mäck, Markus; Hanss, Michael
• Is Part Of: Mechanical systems and signal processing. Volume 147(2021)
• Publication Date: 2021-01-15
• Subjects: Uncertainty quantification -- Possibility theory -- Fuzzy arithmetic -- Extension principle; Structural dynamics -- Periodicals; Vibration -- Periodicals; Constructions -- Dynamique -- Périodiques; Vibration -- Périodiques; Structural dynamics; Vibration; Periodicals; 621
• DOI: 10.1016/j.ymssp.2020.107064
• Languages: English
• ISSNs: 0888-3270

Abstract

Abstract: The ongoing demand for non-deterministic investigations of increasingly complex systems using possibility theory, and the closely connected fuzzy set theory, has led to the development of new numerical solution schemes. In this contribution, we present a sequential weighted sampling technique for the numerical solution of Zadeh's extension principle which shows many advantages over conventional solution schemes in terms of flexibility and efficiency. The introduced solution strategy is applied to several test examples, among others from the field of structural mechanics, and its performance is compared with that of conventional sampling techniques.