Crisp vs. Fuzzy

Pedro Rafael Marquez-Gutierrez (
Sun, 5 Apr 1998 23:42:59 +0200 (MET DST)

Hi all,
I've been looking for
examples of applications contrasting
conventional and fuzzy approaches.
While I've seen many applications
of fuzzy approaches, none of them
address the following problem:

Given a crisp mathematical model of
a system and its fuzzification,
show that the fuzzy version is "better"
than the crisp one, where "better"
could be defined in terms of any
(crisp or fuzzy) metric (e.g. efficiency,
applicability, etc.).

The main consideration is that
the comparison should be between
the original (crisp) formulation
and its fuzzification, not an alternative
fuzzy approach. For example, comparisons
of conventional math models and fuzzy
rule-based implementations are excluded.

Any references are welcome.
Thanks in advance!,
-Pedro Marquez