Crisp simulation of fuzzy computations

Author

Buckley, James J. ; Reilly, Kevin ; Zheng, Xidong

Author_Institution

Dept. of Math., Alabama Univ., Birmingham, AL

fYear

2003

fDate

24-24 Sept. 2003

Firstpage

50

Lastpage

55

Abstract

We start by determining fuzzy numbers lambdamacr (mumacr) 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 lambdamacr and mumacr. This implies that crisp simulation might be used for other fuzzy computations

Keywords

digital simulation; fuzzy set theory; optimisation; probability; queueing theory; Web planning; crisp simulation package; fuzzy arithmetic; fuzzy computation; fuzzy numbers; fuzzy queuing system; fuzzy steady state probability; optimization model; Arithmetic; Computational modeling; Design optimization; Fuzzy sets; Fuzzy systems; Mathematics; Packaging; Probability; Steady-state; System performance;

fLanguage

English

Publisher

ieee

Conference_Titel

Uncertainty Modeling and Analysis, 2003. ISUMA 2003. Fourth International Symposium on

Conference_Location

College Park, MD

Print_ISBN

0-7695-1997-0

Type

conf

DOI

10.1109/ISUMA.2003.1236140

Filename

1236140