Journal of KIISE:Software and Applications (한국정보과학회논문지:소프트웨어및응용)

Korean Institute of Information Scientists and Engineers (한국정보과학회)
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A Fuzzy Set based Method for Determining the Ranks of Fuzzy Numbers

퍼지집합을 이용한 퍼지숫자의 순위 결정 방법

  • 이지형 (한국과학기술원 전자전산학과) ;
  • 이광형 (한국과학기술원 전자전산학과)
  • Published : 2000.07.15
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Abstract

Fuzzy numbers represent fuzzy numeric values. However, it is difficult to clearly determine whether one fuzzy number is larger or smaller than other fuzzy numbers. Thus it is also difficult to determine the rank which a fuzzy number takes, or to select the k-th largest fuzzy number in a given set of fuzzy numbers. In this paper, we propose a fuzzy set based method to determine the rank of a fuzzy number and the k-th largest fuzzy number. The proposed method uses a given fuzzy greater-than relation which is defined on a set of fuzzy numbers. Our method describes the rank of a fuzzy number with a fuzzy set of ranks that the fuzzy number can take, and the k-th largest fuzzy number with a fuzzy set of fuzzy numbers which can be k-th ranked.

퍼지숫자는 보통숫자와는 달리 애매모호한 값을 표현하기 때문에, 어느 퍼지숫자가 다른 퍼지숫자보다 큰지 작은지를 명확히 기술하기 어렵다. 따라서, 주어진 퍼지숫자의 집합 내에서, 어느 퍼지숫자가 몇 번째로 큰지, 또는 k번째로 큰 퍼지숫자가 어느 것인지 역시 애매모호할 수밖에 없다. 본 논문에서는 퍼지숫자의 순위와 k번째로 큰 퍼지숫자를 결정하기 위하여 퍼지집합을 이용하는 방법을 제안한다. 제안하는 방법은 퍼지숫자들 사이에 퍼지대소관계가 주어졌다고 가정하며, 이를 이용하여 퍼지숫자의 순위와 k번째 큰 퍼지숫자를 결정한다. 제안하는 방법은 어느 한 퍼지숫자가 취할 수 있는 모든 순위를 퍼지집합으로 표현하며, k번째로 큰 퍼지숫자가 될 수 있는 모든 퍼지숫자들을 퍼지집합으로 표현한다.

Keywords

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