Reliability Analysis of Fuzzy Systems With Weighted Components Using Vague Sets

모호집합을 이용한 가중 구성요소를 갖는 퍼지시스템의 신뢰도 분석

  • 조상엽 (청운대학교 인터넷학과) ;
  • 박사준 (대구한의대학교 모바일콘텐츠학부)
  • Published : 2006.11.15

Abstract

In the conventional researches, the reliabilities of the fuzzy system are represented and analyzed by real values between zero and one, fuzzy numbers, intervals of confidence, etc. In this paper, we present a method to represent and analyze the reliabilities of the weighted components of the fuzzy system and the weights reflected on their importance based on vague sets defined in the universe of discourse [0, 1]. The vague set is represented as the interval consisted of the truth-membership functions and the false-membership functions, therefore it can allow the reliabilities and the weights of a fuzzy system to represent in a more flexible manner. The proposed method considers the weights of the weighted components in the fuzzy systems, its reliability analysis is more flexible and effective than the conventional methods.

기존 연구에서 퍼지시스템의 신뢰도는 0과 1사이의 실수, 퍼지숫자, 신용구간 등으로 표현하고 분석한다. 본 논문에서, 우리는 퍼지시스템의 가중 구성요소의 신뢰도와 가중 구성요소의 중요도를 반영하는 가중값을 전체집합 [0, 1]에서 정의되는 모호집합으로 표현하고 분석하는 방법을 제안한다. 모호집합은 참 소속함수와 거짓 소속함수로 구성된 구간으로 표현된다. 따라서 모호집합은 퍼지시스템의 신뢰도와 가중값를 더 유연한 방법으로 표현하는 것을 가능하게 한다. 제안된 방법은 퍼지시스템내의 가중 구성요소의 가중값을 고려하므로, 제안한 방법의 신뢰도분석은 기존의 방법들 보다 더 유연하고 효과적이다.

Keywords

References

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