Properties of Triangle-Shaped Fuzzy Membership Function

삼각 퍼지 멤버쉽함수의 특성

  • 이규택 (서울대학교 제어계측공학과) ;
  • 이장규 (서울대학교 제어계측공학과)
  • Published : 1995.03.01

Abstract

Fuzzy membership functions are some kinds of mapping function for the fuzzification and the defuzzification. Triangle-shaped fuzzy membership functions are widely used in fuzzy controller, for it is easy to implement. In these membership functions, it is known that narrower fuzzy sets permit finer control near the operating point than that far from the operating point. $Supp{\acute{o}}se$ we have a membership function with narrower triangle near zero and wider triangle far from zero. The membership function will make fine control when small input is given and rough control at large input. Therefore the performance of the controller with that membership function will be enhanced. This paper presents how the width of triangle base in the fuzzy membership function has influence on the output using geometrical approaches.

삼각 멤버쉽함수는 적용의 간편성으로 인하여 가장 절리 쓰이는 멤버쉽함수이다. 그러므로, 각 삼각형의 밑변의 길이가 퍼지 추론의 결과에 영향을 주는 이유에 대한 해석이 필요하다. 본 논문에서는 일정 비의 규칙성을 갖는 삼각 멤버쉽함수가 결과에 어떠한 영향을 미치는 지에 대하여 기하하적인 접근 방법으로 해석해 보았다.

Keywords

References

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