
376 Chapter 8 Fuzzy InFormatIon retrIeval
For example, consider Table 8.18 for relations R and S. The result of dividing
R by S is the set of puppies having both colors in S, white and yellow. Hence,
the resulting relation D(puppy) = {p1}.
8.7.2 Information Retrieval through
Fuzzy Relational Division
In this section, the relational division operation is extended to process fuzzy
queries. For this purpose, a new definition for fuzzy division needs to be given
so that it can be applied to a fuzzy database whose attribute values could be
fuzzy.
Let R(X, Y ) and S(Y ) be two fuzzy relations. Let D
X
and D
Y
be the domains
of the X and Y