Abstract
In this paper, we get a symmetric property of inference solutions
for natural language propositions involving fuzzy quantifiers and
truth qualifiers by using genetic algorithms. We apply shift type
transformation for fuzzy predicate. We get shift type inference
solution for straight line function predicate. We find that symmetric
property exists in transformations between dilation type
transformation and concentration type transformation about straight
line y=x.
And we find 180 degree rotation symmetry exists in transformation
around the point (0.5, 0.5). We find symmetry relation exists in
inference results for fuzzy quantifiers, which have antonym relation
(most, few), for different modifiers (very, more or less).
