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Interval type-2 fuzzy logic systems: theory and design

Qilian Liang, Mendel, J.M.·2000·IEEE Transactions on Fuzzy Systems
DOI 10.1109/91.873577
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Abstract

We present the theory and design of interval type-2 fuzzy logic systems (FLSs). We propose an efficient and simplified method to compute the input and antecedent operations for interval type-2 FLSs: one that is based on a general inference formula for them. We introduce the concept of upper and lower membership functions (MFs) and illustrate our efficient inference method for the case of Gaussian primary MFs. We also propose a method for designing an interval type-2 FLS in which we tune its parameters. Finally, we design type-2 FLSs to perform time-series forecasting when a nonstationary time-series is corrupted by additive noise where SNR is uncertain and demonstrate an improved performance over type-1 FLSs.

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Metadata

Authors
Liang, Q., & Mendel, J. M.
Venue
IEEE Transactions on Fuzzy Systems
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Published
2000
Volume
8
Issue
5
Pages
535-550
ISSN
1063-6706 (ISSN-L)
DOI
10.1109/91.873577
OpenAlex
W2162706466
Cited by
2,000
References
0
FWCI
7.91
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Interval type-2 fuzzy logic systems: theory and design. https://app.cochat.ai/papers/10.1109/91.873577
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Liang, Q., & Mendel, J. M. (2000). Interval type-2 fuzzy logic systems: theory and design. IEEE Transactions on Fuzzy Systems. https://doi.org/10.1109/91.873577

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.