A similarity measure of fuzzy sets

  • 발행 : 2001.06.01

초록

지금까지 제안된 유사도 척도는 첫째, 기하학적 유사도 척도, 둘째, 집합론적 유사도 척도, 그리고 마지막으로 일치 함수를 이용한 유사도 척도와 같이 세 종류로 분류될 수 있다. 본 논문에서는 이러한 기존의 유사도 척도가 갖는 여러 가지 성질에 근거하여 퍼지 집합에 관한 새로운 유사도 척도를 제안하고 이의 성질을 알아본다. 마지막으로, 예제를 통하여 제안된 유사도 척도와 기존의 유사도 척도의 특성을 비교한다.

Conventional similarity measures suggested so far can be classified into three categories: (i) geometric similarity measures, (ij) set-theoretic similarity measures, and (iii) matching function-based similarity measures. On the basis of the characteristics of the conventional similarity measures, in this paper, we propose a new similarity measure of fuzzy sets and investigate its properLies. Finally, numelical examples are provided for the comparison of characteristics of the proposed similarity measure and other previous similarity measures.

키워드

참고문헌

  1. Fuzzy Sets and Systems v.72 A comparison of similarity measures of fuzzy values S. M. Chen;M. S. Yeh;P. Y. Hsiao
  2. Fuzzy Sets and Systems v.44 Correlation of intuitionistic fuzzy sets T. Gerstenkorn;J. Manko
  3. Fuzzy Sets and Systems v.62 Similarity measure between fuzzy sets and between elements L.-K. Hyung;Y. S. Song;K. M. Lee
  4. Fuzzy Sets and Systems v.52 Entropy, distance measure and similarity measure of fuzzy sets and their relations X. Liu
  5. Fuzzy Sets and Systems v.56 A comparative assessment of measures of similarity of fuzzy values C. P. Pappis;N. I. Karapapilidis
  6. IEEE Trans. Systems, Man, Cybern v.28 no.3 Similarity measures in fuzzy rule base simplification M. Setnes;R. Babuska;U. Kaymak;H. R. van N. Lemke
  7. Fuzzy Sets and Systems v.85 New similarity measures on fuzzy sets and on elements W. J. Wang
  8. Int. J. Approximate Reasoning v.1 Measures of similarity among fuzzy concepts: a comparative analysis R. Zwick;E. Carlstein;D. V. Budescu
  9. Inteligent Learning Environments: The case of geometry A model of case-based reasoning for solving problems of geometry in a tutoring system E. Chouraqui;C. Inghilterra;J-M Laborde(Ed.)
  10. Proc. 1999 EUSFLAT-ESTYLF Joint Conf. On a similarity ratio E. Castineira;S. Cubillo;E. Trillas
  11. IEEE Trans. Fuzzy Systems v.6 no.3 Application of statistical information criteria for optimal fuzzy model construction J. Yen;L. Wang
  12. IEEE Trans. Systems, Man, Cybern v.29 no.6 On generating flexible, complete, consistent and compact fuzzy rule systems from data using evolution strategies Y. Jin;W. von Seelen;B. Sendhoff
  13. Fuzzy Sets and Systems v.73 A comparative study of similarity measures X. Wang;B. D. Baets;E. Kerre
  14. Fuzzy Sets and Systems v.55 Correlation of fuzzy numbers C. Yu
  15. Inform. Sci. v.3 Similarity relations and fuzzy orderings L. A. Zadch