PROCEEDINGS IPMU '08
Fuzzy Graph Associated to a Leontief’s I-O Matrix
Antonio Morillas, Luis Robles, Bárbara Díaz.
In inter-industry studies, the coefficients of
the production function matrices have been
analyzed with different techniques in order
to recognize in some way those coefficients
that can be considered to be important for
an economy. Many criticisms have been
posed to the procedures, the most
remarkable one being their lack of
connectivity with the values of the absolute
flows behind the coefficients. In our
approach, we define the importance of a
coefficient as a fuzzy concept, and the
grade of importance takes into account
those absolute flows. This grade can be
considered as a membership function,
which is used to define a fuzzy graph
associated to an I-O matrix. We apply this
new procedure to the Spanish 2000 I-O
matrix and compare our results to those
reached by classical methods.
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