Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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A method of converting fuzzy system into 2 layered hierarchical fuzzy system

퍼지 시스템의 2계층 퍼지 시스템으로의 변환 방법

  • 주문갑 (부경대학교 전자컴퓨터정보통신공학부)
  • Published : 2006.06.01
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Abstract

To solve the rule explosion problem in multi input fuzzy logic system, a method of converting a given fuzzy system to 2 layered hierarchical fuzzy system is presented where the collection of the THEN-parts of the fuzzy rules of given fuzzy system is considered as vectors of fuzzy rule. At the 1 st layer, linearly independent fuzzy rule vectors generated from the given fuzzy logic system are used and, at the 2nd layer, linear combinations of these independent fuzzy rule vectors are used for fuzzy logic units at each layer. The resultant 2 layered hierarchical fuzzy system has not only equivalent approximation capability, but less number of fuzzy rules compared with the conventional fuzzy logic system.

본 논문에서는 다입력 퍼지 로직 시스템에서 생기는 퍼지 규칙수의 기하급수적 증가를 막기 위하여, 주어진 퍼지 시스템의 THEN 부분을 이용하여 퍼지 규칙 벡터를 정의하고, 이를 이용하는 2계층의 계층 퍼지 시스템으로 변환하는 방법을 제시한다. 여기에서, 1번째 계층에서는 주어진 퍼지 시스템으로부터 생성되는 일차독립의 퍼지 규칙 벡터를 사용하고, 2계층에서는 1계층에서 사용된 퍼지 규칙 벡터들의 선형 합을 사용한다. 변환된 2계층의 퍼지 시스템은 주어진 퍼지 시스템과 동일한 근사 능력을 가질 뿐 아니라, 더 적은 수의 퍼지 규칙을 가짐을 보인다.

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References

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