Many engineering systems contain uncertainties that cannot be described by either deterministic or probabilistic approaches. The uncertainties present may be associated with parameters that are vague, imprecise, or linguistic. For example, the geometry, material properties, external actions (loads), and boundary conditions may be imprecise in a practical system. A fuzzy boundary element method for the analysis of imprecisely defined systems is developed. Starting from the basic concepts of fuzzy sets and fuzzy arithmetic, the various steps of the boundary element method are redefined using fuzzy concepts. The resulting fuzzy equations are solved using a fuzzified version of Gaussian elimination procedure coupled with truncation. The truncation method limits the growth of interval ranges of response parameters to obtain realistic and accurate solutions. The procedure is illustrated by considering the analysis of a potential flow problem. The methodology is applicable to uncertain systems that are describe d in linguistic terms as well as those that are described by incomplete information. The approach represents a unique methodology that enables the analysis and design of many engineering systems more realistically.
ASJC Scopus subject areas
- Aerospace Engineering