Paper Info
Title
Choquet fuzzy integral based modeling of nonlinear system
Abstract
For dealing with the adjacent input fuzzy sets having overlapping information, non-additive fuzzy rules are formulated by defining their consequent as the product of weighted input and a fuzzy measure. With the weighted input, need arises for the corresponding fuzzy measure. This is a new concept that facilitates the evolution of new fuzzy modeling. The fuzzy measures aggregate the information from the weighted inputs using the @l-measure. The output of these rules is in the form of the Choquet fuzzy integral. The underlying non-additive fuzzy model is investigated for identification of non-linear systems. The weighted input which is the additive S-norm of the inputs and their membership functions provides the strength of the rules and fuzzy densities required to compute fuzzy measures subject to q-measure are the unknown functions to be estimated. The use of q-measure is a powerful way of simplifying the computation of @l-measure that takes account of the interaction between the weighted inputs. Two applications; one real life application on signature verification and forgery detection, and another benchmark problem of a chemical plant illustrate the utility of the proposed approach. The results are compared with those existing in the literature.
Year
DOI
Venue
2008
10.1016/j.asoc.2007.07.001
Appl. Soft Comput.
Keywords
Field
DocType
fuzzy set,underlying non-additive fuzzy model,fuzzy density,q -measure,corresponding fuzzy measure,non-additive fuzzy rule,choquet integral,fuzzy rule based identification,λ -measure,new concept,weighted input,fuzzy measure,adjacent input,nonlinear system,new fuzzy modeling,membership function
Mathematical optimization,Neuro-fuzzy,Fuzzy classification,Defuzzification,Fuzzy set operations,Fuzzy measure theory,Artificial intelligence,Type-2 fuzzy sets and systems,Fuzzy number,Membership function,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
8
2
Applied Soft Computing Journal
Citations 
PageRank 
References 
8
0.52
13
Authors
4
Name
Order
Citations
PageRank
Smriti Srivastava113719.60
Madhusudan Singh28510.86
Vamsi K. Madasu3353.56
M. Hanmandlu446035.06