Model-Oriented Systems Engineering Science: A Unifying Framework for Traditional and Complex Systems

The needed research is on mathematical representations and manipulations of views that support integration of views. One possible approach is to use the mathematical model of unlimited dimensions called a polytope. Some work has been done to capture different views as part of this data structure (Baker 2006). This could be a vehicle for integrating views.
The question was raised earlier in the context of aspects and hierarchies whether any view is to be considered the dominant or base view. We might suppose that any use of the term cross-cutting assumes a base or dominant view, which is the thing being cut across. On the other hand, a cross-cutting view in the absence of a base could simply be a view that cuts across any other view. Example of a dominant view: in an organization, a matrix management structure cuts across the line organization, which is considered the base or dominant structure of the organization. But is a dominant structure needed in an organization or in any complex system, or in any system at all? If so, is it always needed or only under certain circumstances or for certain types of systems? What circumstances or system types?
Example: Do organizations of the future really need a dominant structure? Can a healthy organization exist with a set of individuals who form multiple different structures or views, and none of the views is dominant? If so, is anyone in charge? Does...