Parametric design with neural network relationships and fuzzy relationships considering uncertainties

This research introduces a new parametric design approach with neural network relationships and fuzzy relationships considering uncertainties. In this work, parameters are associated by a hybrid parameter relationship network. In addition to deterministic parameters and relationships, non-deterministic parameters (e.g., random parameters and fuzzy parameters) and non-deterministic relationships (e.g., neural network relationships and fuzzy relationships) can also be modeled in this network. Changes of parameter values and their uncertainties are propagated through this network. Two types of optimization methods, reliability based design optimization and possibility based design optimization, are employed to identify the optimal design considering objective random uncertainties and subjective fuzzy uncertainties. A computer system has been implemented and used for the optimal design of a solid oxide fuel cell (SOFC) system considering uncertainties.