Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
권호 표지
DOI QR코드

DOI QR Code

Comparison Study for similarities based on Distance Measure and Fuzzy Number

거리측도를 이용한 유사도의 구성과 퍼지 넘버를 이용한 유사도와의 비교연구

  • 이상혁 (창원대학교 메카트로닉스공학부)
  • Published : 2007.02.25
Download PDF
⟨ Previous Next ⟩

Abstract

The similarity measure is derived with distance measure, and the proposed similarity measure is proved to verily the usefulness. Conventional similarity measure which is constructed through fuzzy number and Center of Gravity(COG) is introduced, furthermore two similarity measures are compared through various types of membership function.

거리측도를 이용한 유사도를 구성하였고 제안된 유사도의 유용성을 증명을 통하여 확인 하였다. 퍼지 넘버와 무게 중심 법을 이용한 기존의 유사도 구성에 대한 결과를 소개하였고 두 가지의 유사도를 다양한 형태의 소속 함수에 대하여 유사도 계산을 통하여 비교하였다.

Keywords

References

  1. S.M. Chen, 'New methods for subjective mental workload assessment and fuzzy risk analysis', Cybern. Syst. : Int. J., vol 27, no. 5, 449-472, 1996 https://doi.org/10.1080/019697296126417
  2. C..H. Hsieh and S.H. Chen, 'Similarity of generalized fuzzy numbers with graded mean integration representation,' in Proc. 8th Int. Fuzzy Systems Association World Congr., vol 2, 551-555, 1999
  3. HS. Lee, 'An optimal aggregation method for fuzzy opinions of group decision,' Proc. 1999 IEEE Int. Conf. Systems, Man, Cybernetics, vol. 3, 314-319, 1999
  4. S.J. Chen and S.M. Chen, 'Fuzzy risk analysis based on similarity measures of generalized fuzzy numbers,' IEEE Trans. on Fuzzy Systems, vol. 11, no. 1, 45-56, 2003 https://doi.org/10.1109/TFUZZ.2002.806316
  5. S.H. Lee, S.P. Cheon, and Iinho Kim, 'Measure of certainty with fuzzy entropy function', LNAI, Vol. 4114, 134-139, 2006 https://doi.org/10.1007/11816171_17
  6. S.H. Lee, J,M. Kim, and YK. Choi, 'Similarity measure construction using fuzzy entropy and distance measure', LNAI Vol.4114, 952-958, 2006 https://doi.org/10.1007/11816171_120
  7. P. Subasic and K. Hirota, 'Similarity rules and gradual rules for analogical and interpolative reasoning with imprecise data,' Fuzzy Sets and Systems, 96, No.1, 53-75, 1998 https://doi.org/10.1016/S0165-0114(96)00288-6
  8. X. Liu, 'Entropy, distance measure and similarity measure of fuzzy sets and their relations' Fuzzy Sets and Systems, 52, 305-318, 1992 https://doi.org/10.1016/0165-0114(92)90239-Z
  9. J, L. Fan, W. X. Xie, 'Distance measure and induced fuzzy entropy,' Fuzzy Set and Systems, 104, 305-314, 1999 https://doi.org/10.1016/S0165-0114(99)80011-6
  10. J, L. Fan, Y L. Ma, and W. X. Xie, 'On some properties of distance measures,' Fuzzy Set and Systems, 117, 355-361, 2001 https://doi.org/10.1016/S0165-0114(98)00387-X