Affiliations: [a] School of Computing, University of Portsmouth, Buckingham Building, Portsmouth, UK | [b] School of Engineering, University of Portsmouth, Angleasea Building, Portsmouth, UK | [c] Bulgarian Academy of Sciences, Institute of Information and Communication Technologies, Sofia, Bulgaria
Correspondence:
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Corresponding author: Alexander Gegov, School of Computing, University of Portsmouth, Buckingham Building, Portsmouth PO1 3HE, UK. E-mail: alexander.gegov@port.ac.uk.
Abstract: This paper proposes a rule base simplification method for fuzzy systems. The method is based on aggregation of rules with different linguistic values of the output for identical permutations of linguistic values of the inputs which are known as inconsistent rules. The simplification removes the redundancy in the fuzzy rule base by replacing each group of inconsistent rules with a single equivalent rule. The simulation results show that the aggregated fuzzy system with the consistent rule base approximates quite well the original fuzzy system with the inconsistent rule base. The main advantage of the proposed method over other methods is that it does not require any refinement of the rule base using additional data sets or expert knowledge. In this context, the method is quite suitable for applications where rule base refinement is unacceptable due to time constraints or impossible due to lack of additional data or knowledge.
Keywords: Fuzzy systems, complexity theory, simulation, data simplification, control systems
