A paradigm is the foundation on which a way of thinking is based, or in other words, a way of looking at the essence of a subject. If the way of looking at things changes, the approach also changes significantly. In various fields, there have been many paradigm shifts throughout their history. A prime example of this is the paradigm shift from the geocentric system to the heliocentric system. There are no absolute paradigms as a matter of course, and it is inevitable that we will move on to the next one over time.
This study discusses the current paradigm shift in the field of design. Conventional mathematical design theory relies on optimization based on multivariate multiple regression equations. This study introduces a paradigm called hyper-design, which is optimization using hyper-structure functions with layered structures based on hyper-factors. Design under this paradigm is significantly different from previous designs.
A superfactor is a design factor that can be freely specified and changed. Furthermore, superstructure functions with a layered structure based on hyperfactors can be differentiated and integrated with respect to the superfactors, making it possible to perform mathematically advanced designs. Furthermore, when the number of parameters related to the superstructure function is large, the formulation becomes confusing. In such cases, the multi-parameter problem is solved using a method called substitution function.
