OPTIMIZATION SEMINAR
Possibility theory as a method of incorporating model uncertainty into
optimization problems.
David Jamison
University of Colorado at Denver
Department of Mathematics
Tuesday, Nov. 11, 1997, 12:00 noon
CU-Denver Bldg., Room 626
ABSTRACT:
The talk will begin with basic concepts behind possibility theory and
possibility distributions. Then we will apply the ideas to certain
possibility distributions over functions from finite dimensional real
vector spaces to the real line, called fuzzy functions. We will show
that these fuzzy functions map vectors to possibility distributions
over the real line, called fuzzy numbers. Then we will add structure
to the space of fuzzy numbers. In particular, we will show that this
space can be partitioned into a normed space and that this normed
space is complete for most applications.
The talk following this one (11/18) will focus on applications and
algorithms.