Linking Developmental Propensity Score to Fuzzy Sets: A New Perspective, Applications and Generalizations

  • Xuecheng Liu
  • Richard E. Tremblay
  • Sylvana Cote
  • Rene Carbonneau
Conference paper
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 100)


First, we outline the group-based trajectory models for longitudinal data; second, we briefly describe the concept of propensity scores based on these models; third, we give a new perspective of propensity scores in fuzzy sets; fourth, we apply operations of fuzzy sets to propensity scores; fifth, we generalize propensity scores to trajectories based on fuzzy and possibilistic clusterings.


Group-based trajectory modeling Group membership posterior probability Propensity score Fuzzy set Operation of fuzzy sets Fuzzy clustering Possibilistic clustering 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Xuecheng Liu
    • 1
  • Richard E. Tremblay
    • 1
    • 2
  • Sylvana Cote
    • 1
    • 3
    • 4
  • Rene Carbonneau
    • 1
    • 5
  1. 1.Research Unit on Children’s Psychosocial MaladjustmentUniversity of MontrealCanada
  2. 2.School of Public Health and Population SciencesUniversity College DublinIreland
  3. 3.International Laboratory for Child and Adolescent Mental HealthUniversity of MontrealCanada
  4. 4.INSERM U669France
  5. 5.Department of Pediatrics, Faculty of MedicineUniversity of MontrealCanada

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