The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems
Abstract
We derive inner- and outer-bound sets for the type-reduced set of an interval type-2 fuzzy logic system (FLS), based on a new mathematical interpretation of the Karnik-Mendel iterative procedure for computing the type-reduced set. The bound sets can not only provide estimates about the uncertainty contained in the output of an interval type-2 FLS, but can also be used to design an interval type-2 FLS. We demonstrate, by means of a simulation experiment, that the resulting system can operate without type-reduction and can achieve similar performance to one that uses type-reduction. Therefore, our new design method, based on the bound sets, can relieve the computation burden of an interval type-2 FLS during its operation, which makes an interval type-2 FLS useful for real-time applications.
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Cites
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Cover, T. M., & Thomas, J. A. (2001) · Wiley eBooks · doi:10.1002/0471200611 · Cited by 36,808
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Zadeh, L. A. (1975) · Information Sciences · doi:10.1016/0020-0255(75)90036-5 · Cited by 12,187
The concept of a linguistic variable and its application to approximate reasoning-III
Zadeh, L. A. (1975) · Information Sciences · doi:10.1016/0020-0255(75)90017-1 · Cited by 12,139
Interval type-2 fuzzy logic systems: theory and design
Liang, Q., & Mendel, J. M. (2000) · IEEE Transactions on Fuzzy Systems · doi:10.1109/91.873577 · Cited by 2,000
Self-citationKarnik, N. N., Mendel, J. M., & Liang, Q. (1999) · IEEE Transactions on Fuzzy Systems · doi:10.1109/91.811231 · Cited by 1,643
Self-citationUncertain rule-based fuzzy logic systems: introduction and new directions
Gomide, F. (2003) · Fuzzy Sets and Systems · doi:10.1016/s0165-0114(02)00359-7 · Cited by 1,505
Centroid of a type-2 fuzzy set
Karnik, N. N., & Mendel, J. M. (2001) · Information Sciences · doi:10.1016/s0020-0255(01)00069-x · Cited by 1,212
Self-citationMPEG VBR video traffic modeling and classification using fuzzy technique
Liang, Q., & Mendel, J. M. (2001) · IEEE Transactions on Fuzzy Systems · doi:10.1109/91.917124 · Cited by 155
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A Hierarchical Type-2 Fuzzy Logic Control Architecture for Autonomous Mobile Robots
Hagras, H. A. (2004) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2004.832538 · Cited by 1,016
On the Fundamental Differences Between Interval Type-2 and Type-1 Fuzzy Logic Controllers
Wu, D. (2012) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2012.2186818 · Cited by 339
General Type-2 Fuzzy Logic Systems Made Simple: A Tutorial
Mendel, J. M. (2014) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2013.2286414 · Cited by 311
Self-citationThe 2017 IEEE International Conference on Fuzzy Systems
(2016) · IEEE Computational Intelligence Magazine · doi:10.1109/mci.2016.2545826 · Cited by 308
On the Stability of Interval Type-2 TSK Fuzzy Logic Control Systems
Biglarbegian, M., Melek, W. W., & Mendel, J. M. (2010) · IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) · doi:10.1109/tsmcb.2009.2029986 · Cited by 300
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Metadata
- Authors
- Wu, H., & Mendel, J. M.
- Venue
- IEEE Transactions on Fuzzy Systems
- Published
- 2002-10
- Volume
- 10
- Issue
- 5
- Pages
- 622-639
- ISSN
- 1063-6706 (ISSN-L)
- OpenAlex
- W2147708960
- Cited by
- 507
- References
- 8
- FWCI
- 5.69
- Type
- journal article
- Language
- en
- Open access
- closed
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