James:
Excellent questions..
Some quick answers:
What you mean by "single organizing system relation?"
A system is defined as a relationship mapped over a set of objects.
Any group of objects may have a number of relationships mapped between and among the individual objects.
To clearly identify a specific system only one relationship should be mapped at a time, using a single organizing system relation.
The single organizing system relation principle is applied in the model-exchange isomorphism (MEI) and augmented model-exchange isomorphism concepts (AMEI).
For the MEI concept see:
In this case a binary relation is used. On page eight (8), numbered as journal page 448, the model-exchange isomorphism is presented in detail. The process starts with a mental model which is represented as data points. The data points are converted to a reachability matrix. The reachability matrix is converted to a directed graph.
For the AMEI concept see:
The AMEI adds prose versions of the logical properties associated with the single organizing system relation used by the MEI.
When you say "classes with a single responsibility" do you mean a class that has a singular purpose rather than being multi-purpose?
I use the concept of "classes with a single responsibility" in the same sense as it is presented here:
and here:
Furthermore, perhaps you could say more about "concept of a single direct relation between logical antecedent and consequent elements". Examples?
The concept of a single direct relation between logical antecedent and consequent elements was articulated by William E. Combs in "The Combs Method For Rapid Inference." The basic material and examples are provided at:
To what do you refer when you say 'We will be covering these topics in our "Foundational Aspects of System Complexity Reduction" '
The Foundational Aspects of System Complexity Reduction is a tutorial that we will be presenting at INCOSE 2015, it also a name of a paper we will be presenting at INCOSE 2015.
It seems that there is a common thread among these topics and examples.
In the case of the MEI and AMEI a single organizing relation is used to identify a specific system, thus reducing complexity by determining an organizing relationship that references all the objects.
In the case of classes with a single responsibility, the complexity associated with code reuse and software maintenance is reduced by isolating well defined behavior in a single software object.
In the case of the Combs method for rapid inference, the direct relation between the logical antecedent and the logical consequent elements reduces the uncertainty associated with multiple antecedent applications.
Hope this helps, let me know if you have any further questions.
Take care, be good to yourself and have fun,
Joe