In
chapter six, the Markov chain based rank level fusion method has been
introduced. The basics of Markov chain have been discussed and its structure
mechanism in the context of multimodal biometric rank fusion has been shown.
This method demonstrates a number of compensation over other rank fusion
approaches in terms of acknowledgment presentation. Furthermore, this method
satisfies the Condorcet measure, which is necessary in any fair rank
information fusion process. In this chapter, another new biometric fusion
approach based on fuzzy logic is discussed and hence named as fuzzy
fusion for
multibiometrics.
Fuzzy fusion method is one of sub-branches of information fusion,
which has lately emerged as information consolidation tool. Most fuzzy fusion
methods reported in the journalism are residential for areas such as habitual
target acknowledgment, biomedical image fusion and segmentation, gas turbine
power plants fusion, weather forecasting, aerial image repossession and
classification, vehicle detection and classification, and path planning. In the
circumstance of biometric authentication, fuzzy logic based fusion approach has
recently been used for superiority based biometric information consolidation
process. In Monwar, Gavril ova, and Wang (2011), the fuzzy fusion method is
utilized in multimodal biometric system.
Fuzzy logic refers to the
theories and technologies that employ fuzzy sets, which are classes with
un-sharp limitations. The idea of fuzzy sets was introduced in 1965 by
Professor Lotfi A. Zadeh from the University of California, Berkeley. The core
technique of fuzzy logic is based on following four basic concepts:
·
Fuzzy Sets: A fuzzy set is a set with a smooth border
line. Fuzzy set theory generalizes the classical set theory to allow fractional
membership.
·
Linguistic Variable: A linguistic unpredictable in one which
allows its value to be described both qualitatively by a linguistic term and
quantitatively by a corresponding membership function (which represents the
meaning of the fuzzy set).
Fuzzy
logic is indeed one of the fascinating areas on the edge stuck between cognitive
science and decision making. Utilizing morality of fuzzy logic for information
fusion allows emulating the abstract calculation and complex human intellect
processes by the means of a range of values between yes or no, or true and
false. In a machine language, it is a difference between 0 and 1, and in
biometric terms—between accepted and refused individuality, or granted or
denied access to a secure building or a facility.
One of the first works in this
domain which has implication for decision-making is 1999 work by Solaiman et
al. The authors projected a fuzzy-based multisensory data fusion classifier for
to be used in a geo-spatial and remote sensing domain for land cover
classification. Their classifier provided a tool for incorporation of multisensory
and contextual information. The authors introduced the Fuzzy Membership Maps
(FMMs) to represent different thematic classes based on a priori information
obtained from sensors. The FMMs were next iteratively updated using spatial appropriate
information. The fuzzy logic allowed their projected classifier to incorporate multisensory
and a priori information.
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