Title
Instrumental Uncertainty and Model Uncertainty Unified in a Modified Fuzzy Inference System
Abstract
When complex systems are considered, a deterministic approach is often too complex or impossible to be implemented. In such a case, fuzzy inference systems (FISs) can be employed to consider model uncertainty. However, in most currently available FISs, instrumental uncertainty is not considered, so that the input data, even when they come from an experimental in-field process, are crisp values. The few available approaches that try to take into account uncertainty on the input data assign a different meaning to the uncertainty concept, as compared with that considered in metrology. Recent proposals have represented and processed measurement results, together with their associated uncertainty, in terms of fuzzy and random-fuzzy variables (RFVs), in full compliance with the metrology concepts defined in the currently available standards. Since the FISs and the RFVs have the same mathematical foundations, this paper considers and applies an original generalized approach to FISs to the classical example of the inverted pendulum control. In this generalized approach, the input quantities are RFVs, and measurement uncertainty is considered throughout the whole fuzzy inference.
Year
DOI
Venue
2010
10.1109/TIM.2010.2044257
Instrumentation and Measurement, IEEE Transactions
Keywords
Field
DocType
fuzzy reasoning,measurement uncertainty,model-based reasoning,uncertainty handling,complex systems,fuzzy inference system,in-field process,instrumental uncertainty,inverted pendulum control,measurement uncertainty,model uncertainty,random-fuzzy variables,Fuzzy systems,fuzzy variables,measurement uncertainty
Data mining,Fuzzy logic,Measurement uncertainty,Model-based reasoning,Sensitivity analysis,Fuzzy set,Control engineering,Uncertainty analysis,Fuzzy control system,Deterministic system (philosophy),Mathematics
Journal
Volume
Issue
ISSN
59
5
0018-9456
Citations 
PageRank 
References 
6
0.61
6
Authors
3
Name
Order
Citations
PageRank
A. Ferrero137688.12
Andrea Federici260.61
Simona Salicone326333.62