Scale and move transformation-based fuzzy rule interpolation with interval type-2 fuzzy sets

Chengyuan Chen, Chai Quek, Qiang Shen

Research output: Chapter in Book/Report/Conference proceedingConference Proceeding (Non-Journal item)

14 Citations (SciVal)

Abstract

Fuzzy rule interpolation (FRI) is an important technique for performing inference with sparse rule bases. Even when a given observation has no overlap with the antecedent values of any existing rules, FRI may still derive a conclusion. In particular, the scale and move transformation-based approach can handle interpolation and extrapolation with multiple multi-antecedent rules. However, the difficulty in defining the required precise-valued membership functions significantly restricts the application of FRI. Type-2 fuzzy sets help to alleviate such limitations because their membership functions are themselves fuzzy. This paper extends the existing transformation-based approach of FRI by using interval type-2 fuzzy sets. The proposed approach not only facilitates the definition of representative values of interval type-2 fuzzy sets, but also modifies the underlying FRI technique to ensure intuitive interpolated conclusions. The experimentation demonstrates that the proposed approach can deal with uncertainty in FRI in a more flexible way, extending the potential of conventional FRI techniques.
Original languageEnglish
Title of host publicationProceedings of the 22nd International Conference on Fuzzy Systems
PublisherIEEE Press
Pages1-8
Number of pages8
ISBN (Print)978-1-4799-0020-6
DOIs
Publication statusPublished - 2013
EventFuzzy Systems - Hyderabad, Hyderabad, India
Duration: 07 Jul 201310 Jul 2013
Conference number: 22

Conference

ConferenceFuzzy Systems
Abbreviated titleFUZZ-IEEE-2013
Country/TerritoryIndia
CityHyderabad
Period07 Jul 201310 Jul 2013

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