**Figure 3.**

The composition property enables arbitrary topology creation in different contexts (determined by variant property as *Modal* object, and version property as *Temporal* object), and type associated property that enables the classification over an open set of classifiers with currently two specified: Generic and system specific.

The open set of MetaConcept specializations is currently composed of three elements: PosConcept (relates the framework ontology with POS System ontology); PosModel (relates the framework ontology with POS Model ontology segment); and *The Foundation for Open Component Analysis: A System of Systems Hyper Framework Model DOI: http://dx.doi.org/10.5772/intechopen.103830*

**Figure 4.** *The POSOntology model.*

Dimension (abstract MetaConcept that clusters the fundamental SoS-HFM object of interest). The Dimension specialization is further specialized by an open set currently 3 concepts: System and POSProperty that will be defined later on and System Internals with fundamental internal dimensions of an arbitrary general system (Goal; OrganizationUnit; Function; InformationResource; Control; and Communication) that are elaborated in following segments of this Section.

The POSOntology model, developed in compliance with [3], is presented in **Figure 4**. POSOntology is an LDO that is composed of four collections:


ConcretePOSOntology is a domain or system-specific specialization of POSOntology that forms the ontology segment of SoS-HFM and is the targeted ontology of arbitrary orchestrated POS methods.

The detailed System Dimension of the SoS-HFM ontology meta-model is presented in **Figure 5**. The system is an LDO, defined as the SoS-HFM dimension that represents the organized set of interrelated components that are orchestrated (configured) with the specific mission in mind.

It is composed of five embedded associative collections and one inherited associative collection. The five embedded associative collections are:

**Figure 5.** *The system dimension of SoS-HFM meta model.*

*The Foundation for Open Component Analysis: A System of Systems Hyper Framework Model DOI: http://dx.doi.org/10.5772/intechopen.103830*


The inherited associative collection, organized by the ExternalCollaboration associative class, represents the SoS dimension of the SoS-HFM meta-model, with SoS defined as a specialization of system meta concept.

The SoS-HFM dimensionality reduction meta-model is presented in **Figure 6**. The key meta concepts defined are the configuration and the LargeDataObject.


In **Figure 7**, the conceptual model of SoS-Hyper Framework software architecture is presented. It is modeled as MVC architectural pattern where: SoSHFModel—handles the framework dynamic data structure; SoSHFView—encapsulates the collection of SoSHFModel visualization methods, and SoSHFControler—supports framework dynamics. ServiceControler handles an open set of framework services with currently specified: DataSetBuilder; SesionManager; ActivityTracker; and SecurityManager. RepositoryManager encapsulates an open set of repository handlers with currently specified: RelationalRepository; and NoSQL open set of Non-relational repository handlers.

**Figure 6.** *The SoS-HFM dimensionality reduction meta model.*

In **Figure 8**, there is a more detailed conceptual model of the SoSHF Controller segment that encapsulates POS and dimensionality reduction methods (PCA) presented. It utilizes a two-component interface: *AccessIR* (manipulation of arbitrary information resources designated as LDOs in this chapter); and *DimensionAccess* (manipulation of the collection of dimensions embedded in LDOs).

*The Foundation for Open Component Analysis: A System of Systems Hyper Framework Model DOI: http://dx.doi.org/10.5772/intechopen.103830*

**Figure 7.** *SoS-hyper framework conceptual model (MVC).*
