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177 Category: Networking & Telecommunication
Application of Fuzzy Logic to Fraud Detection
Mary Jane Lenard
University of North Carolina – Greensboro, USA
Pervaiz Alam
Kent State University, USA
INTRODUCTION
In light of recent reporting of the failures of some of the
major publicly-held companies in the U.S. (e.g., Enron
& WorldCom), it has become increasingly important that
management, auditors, analysts, and regulators be able to
assess and identify fraudulent inancial reporting. The Enron
and WorldCom failures illustrate that inancial reporting
fraud could have disastrous consequences both for stock-
holders and employees. These recent failures have not only
adversely affected the U.S. accounting profession but have
also raised serious questions about the credibility of inancial
statements. KPMG (2003) reports seven broad categories
of fraud experienced by U.S. businesses and governments:
employee fraud (60%), consumer fraud (32%), third-party
fraud (25%), computer crime (18%), misconduct (15%),
medical/insurance fraud (12%), and inancial reporting
fraud (7%). Even though it occurred with least frequency,
the average cost of inancial reporting fraud was the highest,
at $257 million, followed by the cost of medical/insurance
fraud (average cost of $33.7 million).
Statistical methods, expert reasoning, and data mining
may be used to achieve the objective of identifying inancial
reporting fraud. One way that a company can justify its i-
nancial health is by developing a database of inancial and
non-inancial variables to evaluate the risk of fraud. These
variables may help determine if the company has reached
a stress level susceptible to fraud, or the variables may
identify fraud indicators. There are a number of methods
of analysis that may be used in fraud determination. Fuzzy
logic is one method of analyzing inancial and non-inancial
statement data. When applied to fraud detection, a fuzzy
logic program clusters the information into various fraud
risk categories. The clusters identify variables that are used
as input in a statistical model. Expert reasoning is then ap-
plied to interpret the responses to questions about inancial
and non-inancial conditions that may indicate fraud. The
responses provide information for variables that can be
developed continuously over the life of the company. This
article summarizes the speciics of fraud detection modeling
and presents the features and critical issues of fuzzy logic
when applied for that purpose.
BACKGROUND
Fraud Detection
The problem of fraudulent inancial reporting is not limited to
the U.S. In 2002, the Dutch retailer, Ahold, disclosed losses
of $500 million related to accounting at its U.S. subsidiary
(Arnold, 2003). Recently, Parmalat, an Italian irm, declared
insolvency as a result of fraudulent inancial reporting. The
CEO of Parmalat has been accused of mishandling $10 billion
and of hiding losses in offshore funds and bank accounts. The
scandal at Parmalat could also have serious consequences for
the company’s auditor (Gallani & Troimov, 2004).
The auditor’s responsibility for fraud detection in the
U.S. has been deined in Statement on Auditing Standards
No. 99, Fraud Detection in a GAAS Audit (AICPA, 2002).
This statement has four key provisions (Lanza, 2002): (1)
increased emphasis on professional skepticism, (2) frequent
discussion among audit team personnel regarding the risk
of misstatement due to fraud, (3) random audit testing of
locations, accounts, and balances, and (4) procedures to test
for management override of controls. Auditors are discour-
aged from placing too much reliance on client representation
and are required to maintain a skeptical attitude throughout
the audit. The standard encourages auditors to engage in
frequent discussion among engagement personnel regarding
the risk of material misstatement due to fraud. SAS 99 also
requires auditors to inquire of management and others not
directly involved with fraud, perform analytical procedures,
and conduct necessary tests to assess management override
of controls. Finally, auditors are advised to evaluate the risk
of fraud and steps taken by the client to mitigate the risk
of fraud.
The U.S. Congress in 2002 passed the Sarbanes-Oxley
Act, which spells out a number of steps irms must take to
minimize fraudulent inancial reporting. This legislation
requires the principal executive oficer and the principal
inancial oficer of publicly traded companies to certify the
appropriateness of the inancial statements and disclosures
in each quarterly and annual report that their company is-
sues. These oficers are also responsible for establishing and
maintaining internal controls within the company. Further,
they must disclose to auditors and the audit committee of
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