Paper
FUZZY RISK ANALYSIS OF A MODERN -RAY
INDUSTRIAL IRRADIATOR
F. Castiglia and M. Giardina*
Abstract—Fuzzy fault tree analyses were used to investigate
accident scenarios that involve radiological exposure to
operators working in industrial -ray irradiation facilities.
The HEART method, a first generation human reliability
analysis method, was used to evaluate the probability of
adverse human error in these analyses. This technique was
modified on the basis of fuzzy set theory to more directly
take into account the uncertainties in the error-promoting
factors on which the methodology is based. Moreover, with
regard to some identified accident scenarios, fuzzy radio-
logical exposure risk, expressed in terms of potential annual
death, was evaluated. The calculated fuzzy risks for the
examined plant were determined to be well below the
reference risk suggested by International Commission on
Radiological Protection.
Health Phys. 100(6):622– 631; 2011
Key words: accident analysis; accidents, nuclear; emergencies,
radiological; nuclear power industry
INTRODUCTION
THE INTERNATIONAL Commission on Radiological Protec-
tion (ICRP) has issued several reports on radiological
protection and safety in irradiation facilities, such as
those for industrial and agricultural applications, particle
physics research laboratories, and radiotherapy treatment
centers (ICRP 1990, 1993, 1997, 2000, 2005). Neverthe-
less, even though great care is taken in planning system
safety to prevent radiological exposure accidents, the
system effectiveness is conditional upon the work per-
formance of the operator, who may make mistakes even
in a well-designed task sequence.
In light of the fact that there will always remain a
considerable level of risk associated with irradiation facili-
ties, this work sought to evaluate the risk of radiation
exposure to the system operator. Risk, as it is often defined,
is the product of the associated accidental occurrence
probability times the consequence; i.e., the absorbed dose.
The lack of accurate quantitative human reliability
data is seen as a serious limitation to risk assessment and
is a major source of uncertainty. Because of this, the
authors decided to employ fuzzy set models, which
ultimately proved to be well-suited for this work. Fur-
thermore, risk analysis was performed using fuzzy fault
tree (FT) techniques to further support these findings [FT
technique is a method of describing the combination of
events leading to a defined system failure, called the top
event (TE)]. The hypothesized accidental event was the
potential radiological exposure of an operator working in
a modern -ray irradiation plant.
In these analyses, to account for the uncertainties
related to human error, the HEART (Human Error
Assessment and Reduction Technique) model (Wil-
liams 1986), a first generation HRA (Human Reliabil-
ity Analysis) method, was modified to include fuzzy
set concepts (Zadeh 1965, 1975). With regard to some
identified accident scenarios, an attempt has been
made to evaluate the fuzzy potential exposure (ICRP
1993, 1997) in order to estimate the operator radio-
logical risk. The obtained fuzzy risk results of the
examined accidental event were well below the refer-
ence risk suggested by ICRP.
FUZZY APPROACH TO HEART
The HEART technique, which was derived from a
wide range of findings in ergonomics, assumes that any
predicted reliability of a task performance may be mod-
ified according to the presence of so-called error promot-
ing conditions (EPCs). EPCs are the state and importance
of various factors that determine and influence the
performance of the task. The method identifies nine
generic task types and proposes nominal human unreli-
ability values, together with 17 EPCs, whose influence
on the performance of the task is considered to have the
maximum effect (Williams 1986).
In the HEART methodology, the failure rate is
estimated using an empirical expression of the form:
* Department of Nuclear Engineering, University of Palermo,
Viale delle Scienze, 90128 Palermo, Italy.
For correspondence or reprints contact: For correspondence con-
tact F. Castiglia at the above address, or email at castiglia@din.unipa.it.
(Manuscript accepted 12 October 2010)
0017-9078/11/0
Copyright © 2011 Health Physics Society
DOI: 10.1097/HP.0b013e31820153eb
622 www.health-physics.com