Title
Choquet fuzzy integral based verification of handwritten signatures
Abstract
For dealing with adjacent input fuzzy sets having overlapping information, non-additive fuzzy rules are formulated by defining their consequent as a function of fuzzy measures, i.e., a simple form of Choquet integral. The fuzzy measures aggregate the information from the overlapping fuzzy sets using the λ-measure. The defuzzified output of these rules is also in the general form of the Choquet fuzzy integral. The underlying non-additive fuzzy model is investigated for both identification and control of non-linear systems. The identification of this fuzzy model involves the strength of the rules as the known input functions and fuzzy densities required to compute fuzzy measures as the unknown functions to be estimated. The use of q-measure provides a more flexible and powerful way of simplifying the computation of λ-measure used to take account of interaction between the fuzzy sets. This model has been successfully applied to the real life problem of verifying the authenticity of offline signatures.
Year
DOI
Venue
2013
10.3233/IFS-2012-0541
Journal of Intelligent and Fuzzy Systems
Keywords
Field
DocType
handwritten signature,fuzzy model,general form,fuzzy set,underlying non-additive fuzzy model,fuzzy measure,adjacent input,non-additive fuzzy rule,fuzzy density,known input function,overlapping fuzzy set
Discrete mathematics,Data mining,Neuro-fuzzy,Fuzzy classification,Defuzzification,Fuzzy set operations,Fuzzy measure theory,Fuzzy number,Type-2 fuzzy sets and systems,Membership function,Mathematics
Journal
Volume
Issue
ISSN
24
1
1064-1246
Citations 
PageRank 
References 
2
0.40
12
Authors
4
Name
Order
Citations
PageRank
Madhusudan Singh18510.86
Vamsi K. Madasu2353.56
Smriti Srivastava313719.60
M. Hanmandlu446035.06