Rule base simplification in fuzzy systems by aggregation of inconsistent rules

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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 from a transportation demand management case study show that the aggregated fuzzy system with the consistent rule base approximates better the given data than 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.
Original languageEnglish
Article numberIFS1418
Pages (from-to)1331 – 1343
JournalJournal of Intelligent & Fuzzy Systems
Volume28
Issue number3
Early online date15 Oct 2014
DOIs
Publication statusPublished - 1 Jan 2015

Keywords

  • fuzzy systems
  • complexity theory
  • data simplification
  • transportation demand management
  • control systems

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