한국지능시스템학회논문지 (Journal of the Korean Institute of Intelligent Systems)

  • 제15권7호
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  • Pages.789-793
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  • 2005
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  • 1976-9172(pISSN)
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  • 2288-2324(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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구간치 퍼지수 상의 쇼케이 거리측도에 관한 성질

Some properties of Choquet distance measures for interval-valued fuzzy numbers

  • 장이채 (건국대학교 컴퓨터응용과학부 전산수학전공) ;
  • 김원주 (경희대학교 대학원 수학과)
  • Jang, Lee-Chae (Dept. of Mathematics and Computer Science, Konkuk University) ;
  • Kim, Won-Joo (Dept. of Mathematics, Kyunghee University)
  • 발행 : 2005.12.01
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초록

구간치 퍼지집합은 Gorzalczan응(1983)과 Turken(1986)에 의해 처음 제의되었다. 이를 토대로 Wang과 Li는 구간치 퍼지수에 관한 연산으로 일반화하여 연구하였다. 최근에 홍(2002)는 왕과 리의 이론을 기만적분에 의해 구간치 퍼지집합상의 거리측도에 관한 연구를 하였다. 본 논문에서 우리는 일반측도와 관련된 리만적분 대신에 퍼지측도와 관련된 쇼케이적분을 이용한 구간치 퍼지수 상의 쇼케이 거리측도를 정의하고 이와 관련된 성질들을 조사하였다.

Interval-valued fuzzy sets were suggested for the first time by Gorzalczang(1983) and Turken(19a6). Based on this, Wang and Li offended their operations on interval-valued fuzzy numbers. Recently, Hong(2002) generalized results of Wang and Li and extended to interval-valued fuzzy sets with Riemann integral. In this paper, using Choquet integrals with respect to a fuzzy measure instead of Riemann integrals with respect to a classical measure, we define a Choquet distance measure for interval-valued fuzzy numbers and investigate its properties.

키워드

참고문헌

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피인용 문헌

  1. A note on Jensen type inequality for Choquet integrals vol.9, pp.2, 2009, https://doi.org/10.5391/IJFIS.2009.9.2.071