Special Interest Group
on Interval Methods in Knowledge Representation
There is a Growing Interest in Interval Methods
are naturally related to fuzzy research:
Many operations with fuzzy numbers
can be naturally
implemented as operations with their alpha-cuts (i.e., intervals);
not surprizingly, interval arithmetic is described in most modern
textbooks on fuzzy logics and fuzzy systems;
In many cases, it is more natural to
use not numbers
but intervals to describe the values of membership functions; the
resulting interval-valued fuzzy sets are very helpful in expert
systems, fuzzy control, pattern recognition, etc.
Last but not the least: the interest
in using interval methods is being
revived by the Zadeh's idea of "granularity" as a unifying theme
for several formalisms, including fuzzy and interval methods.
There is a growing interest in interval methods:
Talks on interval methods in
knowledge representation are
actively present both at conferences in Interval Computations
and at conferences on Fuzzy Systems. Several relevant
workshops and special sections have been organized: e.g., during the
1993 Interval Computations conference, the 1994 NASA/NAFIPS, etc.
New papers appear all the time in
journals and conference proceedings:
the recently started special section on interval methods
in IJUFKS (International Journal on Fuzziness, Uncertainty, and
Knowledge-Based Systems) already has a backlog of abstracts of
different relevant papers.
Lots of relevant papers appear in the
Reliable Computing and in the special
NIFS journal specifically
devoted to interval-related intuitionistic fuzzy sets. A recently
announced IJUFKS special issue on interval methods is already filled
with high-quality papers.
Researchers who do research in
interval methods in knowledge representation come from different
backgrounds: mainly from fuzzy systems and from interval methods.
As a result, we are
often unaware of previous work, and we spend quite some time
re-inventing the notions and results that are already well known in
other areas. People who do similar research can definitely profit from
a more active interaction. Workshops and special sections are in
There is a Need to Organize Ourselves
Journal editors would definitely appreciate having a list of people who
are interested in interval methods so that interval-related papers
could be sent to referees knowledgeable in the corresponding areas.
The idea of organizing a special interest group
re-appeared during several recent fuzzy and interval meetings. Here is
a list of people who have so far expressed interest in coordinating this
group (in alphabetic order):
SIGInterval mailing list is set up.
Problems concerning the list itself should be
reported to Vladik Kreinovich
(but not to the list).
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