Geometric type-1 and type-2 fuzzy logic systems

Date
2007-02-01
Authors
Coupland, Simon
John, Robert, 1955-
Journal Title
Journal ISSN
ISSN
1063-6706
Volume Title
Publisher
IEEE
Peer reviewed
Abstract
Description
This paper describes how geometric primitives can be used to model type-1 and type-2 fuzzy sets. This novel approach gives the fuzzy community a new computational model for processing fuzzy systems. The impact of this paper comes from the type-2 geometric model. The computational complexity of type-2 fuzzy systems is notoriously high. The geometric approach gives a real opportunity for a massive reduction in this computation, some of which is demonstrated. The increased accuracy of the geometric approach is also demonstrated with examples. This result has appeared in one of the leading journals in the field with impact factor 1.803
Keywords
RAE 2008, UoA 23 Computer Science and Informatics, computational geometry, geometric approach, type-2 fuzzy logic
Citation
Coupland, S. & John, R.I. (2007) Geometric type-1 and type-2 fuzzy logic systems. IEEE Transactions on Fuzzy Systems, 15(1), pp. 3-15.
Research Institute
Institute of Artificial Intelligence (IAI)