International Journal of Fuzzy Logic and Intelligent Systems

  • 제8권2호
  • /
  • Pages.146-150
  • /
  • 2008
  • /
  • 1598-2645(pISSN)
  • /
  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
권호 표지
DOI QR코드

DOI QR Code

Subsethood Measures Defined by Choquet Integrals

  • Jang, Lee-Chae (Department of Mathematics and Computer Science, KonKuk University)
  • 발행 : 2008.06.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we consider concepts of subsethood measure introduced by Fan et al. [2]. Based on this, we give various subsethood measure defined by Choquet integral with respect to a fuzzy measure on fuzzy sets which is often used in information fusion and data mining as a nonlinear aggregation tool and discuss some properties of them. Furthermore, we introduce simple examples.

키워드

참고문헌

  1. G. Choquet, Theory of capacities, Ann. Inst. Fourior 5 (1953), 131-295
  2. Jin-Lum Fan, Yuan-Liang Ma and Wei-Xin Xie, On some prperties of distance measures, Fuzzy Sets and Systems 117 (2001), 355-361 https://doi.org/10.1016/S0165-0114(98)00387-X
  3. Jiulun Fan, Weixin Xie and Jihong Pei, Subsethood measure: new definitions, Fuzzy Sets and Systems 106 (1999), 201-209 https://doi.org/10.1016/S0165-0114(97)00275-3
  4. L.I. Kuncheva, Fuzzy rough sets: application to feature selection, Fuzzy Sets and Systems 51 (1992), 147-153 https://doi.org/10.1016/0165-0114(92)90187-9
  5. H.M. Lee and W.T. Wang, A neural network architecture for classification of fuzzy inputs, Fuzzy Sets and Systems. 63 (1994), 159-173 https://doi.org/10.1016/0165-0114(94)90346-8
  6. T. Murofushi and M. Sugeno, An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure, Fuzzy Sets and Systems 29 (1989), 201-227 https://doi.org/10.1016/0165-0114(89)90194-2
  7. J. V. de Olivira, A set-theoretical defuzzification method, Fuzzy Sets and Systems 76 (1995), 63-71 https://doi.org/10.1016/0165-0114(95)00002-3
  8. D. Ruan and E. Kerre, Fuzzy implication operators and generalized fuzzy method of cases, Fuzzy Sets and Systems 54 (1993), 23-37 https://doi.org/10.1016/0165-0114(93)90357-N
  9. D. Sinha and E.R. Dougherty, Fuzzification of set inclusion: theory and applications, Fuzzy Sets and Systems 55 (1993), 15-42 https://doi.org/10.1016/0165-0114(93)90299-W
  10. Z. Wang, G.J. Klir and W. Wang, Monotone set functions defined Choquet integral, Fuzzy Sets and Systems 81 (1996), 241-250 https://doi.org/10.1016/0165-0114(95)00181-6
  11. Liu Xuechang, Entropy, distance measure and similarity measure of fuzzy sets and their relations, Fuzzy Sets and Systems 52 (1992), 305-318 https://doi.org/10.1016/0165-0114(92)90239-Z
  12. V. R. Young, Fuzzy subsethood, Fuzzy Sets and Systems 77 (1996), 371-384 https://doi.org/10.1016/0165-0114(95)00045-3
  13. L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353 https://doi.org/10.1016/S0019-9958(65)90241-X

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