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Uncertainty in Interval Type-2 Fuzzy Systems
- Source :
- Mathematical Problems in Engineering, Vol 2013 (2013)
- Publication Year :
- 2013
- Publisher :
- Hindawi Limited, 2013.
-
Abstract
- This paper studies uncertainty and its effect on system response displacement. The paper also describes how IT2MFs (interval type-2 membership functions) differentiate from T1MFs (type-1 membership functions) by adding uncertainty. The effect of uncertainty is modeled clearly by introducing a technique that describes how uncertainty causes membership degree reduction and changing the fuzzy word meanings in fuzzy logic controllers (FLCs). Several criteria are discussed for the measurement of the imbalance rate of internal uncertainty and its effect on system behavior. Uncertainty removal is introduced to observe the effect of uncertainty on the output. The theorem of uncertainty avoidance is presented for describing the role of uncertainty in interval type-2 fuzzy systems (IT2FSs). Another objective of this paper is to derive a novel uncertainty measure for IT2MFs with lower complexity and clearer presentation. Finally, for proving the affectivity of novel interpretation of uncertainty in IT2FSs, several investigations are done.
- Subjects :
- Uncertainty avoidance
Fuzzy classification
Article Subject
General Mathematics
lcsh:Mathematics
General Engineering
Type-2 fuzzy sets and systems
lcsh:QA1-939
Fuzzy logic
Control theory
lcsh:TA1-2040
Fuzzy number
Sensitivity analysis
Uncertainty quantification
lcsh:Engineering (General). Civil engineering (General)
Uncertainty analysis
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 15635147
- Volume :
- 2013
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....2d37b30a4876b6d83d8da05f6acb1dff