Fuzzy Finite Element Method for Uncertainty Modelling
Raji, M (2026) Fuzzy Finite Element Method for Uncertainty Modelling. In: Analytical and Numerical Methods in Differential Equations (Yanenko 105) A virtual conference on occasion of the 105th birthday of Academician Nikolai N. Yanenk, 27.03.2026, School of Mathematics and Geoinformatics Suranaree University of Technology Nakhon Ratchasima, Thailand.
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Abstract
Fuzzy numbers are used in the Fuzzy Finite Element Method (FFEM) to represent input uncertainties like stresses and material characteristics. A set of acceptable values limited by its membership function is defined by each fuzzy parameter. FFEM ensures deterministic coverage of
uncertainty by adhering to the set-based uncertainty concept that was put forth by Lotfi A. Zadeh. Without making any assumptions about probability distributions, the aim of FFEM is to assess the structural response for any possible combination of these functional inputs. Through the
decomposition of fuzzy parameters into α-level intervals and interval optimization over the resulting Cartesian product of admissible input domains, the Fuzzy Finite Element Method systematically
evaluates all admissible combinations of uncertainty, ensuring comprehensive coverage of physically
possible system configurations.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Subjects: | Mathematics > Logic |
| Domains: | Mathematics |
| Depositing User: | IR Admin |
| Date Deposited: | 31 Aug 2026 12:59 |
| Last Modified: | 31 Aug 2026 13:01 |
| URI: | https://ir.vistas.ac.in/id/eprint/22218 |
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