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New Type-2 Rule Ranking Indices for Designing Parsimonious Interval Type-2 Fuzzy Logic Systems

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4 Author(s)
Shang-Ming Zhou ; Centre for Computational Intelligence, School of Computing, De Montfort University, Leicester, LE1 9BH, UK. email:, ; Robert John ; Francisco Chiclana ; Jonathan M. Garibaldi

In this paper, we propose two novel indices for type-2 fuzzy rule ranking to identify the most influential fuzzy rules in designing type-2 fuzzy logic systems, and name them as R-values and c-values of fuzzy rules separately. The R-values of type-2 fuzzy rules are obtained by applying QR decomposition in which there is no need to estimate a rank as required in the SVD-QR with column pivoting algorithm. The c-values of type-2 fuzzy rules are suggested to rank rules based on the effects of rule consequents. Experimental results on a signal recovery problem have shown that by using the proposed indices the most influential type-2 fuzzy rules can be effectively selected to construct parsimonious type-2 fuzzy models while the system performances are kept at a satisfied level.

Published in:

2007 IEEE International Fuzzy Systems Conference

Date of Conference:

23-26 July 2007