James J. Buckley
Kevin Reilly
Xidong Zheng
Crisp Simulation of Fuzzy Computations
Proc. 4th Int'l Symposium on Uncertainty Modelling and Analysis, 50-55
(Proc. ISUMA-2003, 50-55)
Abstract
We start by determining fuzzy numbers lambda
mu for the arrival (service) rate for a fuzzy
queuing system. These fuzzy numbers are then used to compute the
fuzzy steady state probabilities which in turn are employed to
calculate fuzzy numbers for system performance. These fuzzy
numbers for system performance are inputs into optimization
models for web planning. We then introduce a new way to perform
(restricted) fuzzy arithmetic. We show how to use a standard
(crisp) simulation package to obtain alpha-cuts of the fuzzy
numbers for system performance from alpha-cuts of
lambda and mu. This implies that
crisp simulation might be used for other fuzzy computations.