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The idea behind the k-step relation is that when we are using a similarity relation, e.g., S Σ, it may happen that S Σ 1⊆S Σ 2⊆⋯⊆S Σ n.
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SOM content was mapped using a similarity based mapping method.
In other words, a similarity relation of a higher step can be used to find a possible context.
It argues that by establishing a similarity relation between a complex system and a number of simpler models it is possible to design the former using the analysis and synthesis means developed for the latter.
The counterpart relation is a similarity relation in most cases (but arguably not in all cases).
We highlight that a dissimilarity relation can be viewed as the complement of a similarity relation.
This is achieved by equipping the underlying set of possible worlds with a similarity relation.
Otherwise, the procedure is restarted with a similarity relation of a higher step.
Formally, a binary relation is a similarity relation if it is at least reflexive (an equivalence relation is reflexive, symmetric, and transitive).
Based on the failure testing principle and model similarity theory, a similarity relation formula for safety evaluation through comprehensive test is established.
(Similarity matrix) Let N I be the set of individuals, x,y∈N I, Σ a context, and Sim a similarity relation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com