Structural reliability analysis through fuzzy number approach, with application to stability

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A NEW FUZZY ANALYSIS METHOD FOR POSSIBILITY-BASED DESIGN OPTIMIZATION (2004, methodology): “[ 3-8 ]. The main advantage of the fuzzy analysis is that it preserves the intrinsic random”
Integration of Possibility-Based Optimization and Robust Design for Epistemic Uncertainty (2007, methodology): “In aid of the operational framework of possibility theory [6-9], a fuzzy analysis entails the following four attractive features: 1) preserving the intrinsic random nature of physical variables through their membership functions; 2) simpler extended fuzzy operations [10] than those required to use p”
Inverse Possibility Analysis Method for Possibility-Based Design Optimization (2006, methodology): “For the third method, if the membership functions generated using these two principles are not viewed as conservative enough, Savoia ([3], p. 1096) proposed the membership function as X x FX xL fX x xR xL FX xR (3) where fX x is the probability density function, and xL and xR are selected such that ”
Probabilistic safety analysis of structures under hybrid uncertainty (2007, unknown): “Ferrari and Savoia [20] and Savoia [21] defined an equivalent class of probability distribution compatible with the available data based on fuzzy descriptions.”