COMPARISON OF FUZZY SET AND CONVEX MODEL THEORIES IN STRUCTURAL DESIGN

By C. Pantelides, S. Ganzerli. 2001

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Eigenvalue bounds of structures with uncertain-but-bounded parameters (2005, background): “specified in a number of ways, such as probablistic [1], convex [2] or fuzzy [3] descriptions.”
A novel shape function approach of dynamic load identification for the structures with interval uncertainty (2016, methodology): “Among lots of uncertainty modeling methods, interval analysis (Elishakoff et al. 1994; Pantelides and Ganzerli 2001; Qiu and Wang 2003; Zhou et al. 2006) is an efficient one through which only the bounds of uncertain parameters instead of the precise probability distributions need to be required.”
Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007, background): “multi-dimensional box or ellipsoid, and thus the clustering of the uncertain events is defined [3].”
Exact bounds for the static response set of structures with uncertain-but-bounded parameters (2006, methodology): “in an engineering structure, three approaches are used for its analysis and design (Ben-Haim and Elishakoff, 1990; Elishakoff, 1983; Ganzerli and Pantelides, 2000; Pantelides and Ganerli, 2001).”