Definition 2: An isolated measure ml is one in which the bundle where it belongs is the
degenerate bundle {ml}.
It is easy to see that the family of bundles of the measures of M is a partition of M as the
union of disjoint sets. However the set M may be partitioned in several ways.
Assumption (emergent concepts): For a set M that is partitioned into perfectly
separated bundles, each bundle B is interpreted as the emergence at the surface of a hidden
concept of interrelatedness.
When the bundles are not perfectly separated, the hidden concepts of interrelatedness are
called fuzzy concepts.
It is easy to see that if there is a perfectly separated partition it is the only perfectly
separated partition that exists.
Applying these concepts to the results of Tables 6 and 7, and taking as the value of c for
each of the years respectively the average of all the correlation coefficients, we have two
perfectly separated bundles for the 1990s:
B1 = {PINT, AVOM, MICT, IDET, DEVA, MPLE, CYCI, APLU, CAIA, CAIL}
B2 ={ PNZC, YAAM}.
This result indicates a clear distinction (at this level of aggregation - 17 sectors) between
measures based on Boolean (B2) and non-Boolean (B1) methods, which is probably only
interesting, or useful, for highly disaggregated matrices.
15
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