Constrained abductive reasoning with fuzzy parameters in Bayesian networks

  • Authors:
  • Han-Lin Li;Han-Ying Kao

  • Affiliations:
  • Institute of Information Management, National Chiao Tung University, Hsinchu, 30050, Taiwan;Institute of Information Management, National Chiao Tung University, Hsinchu, 30050, Taiwan

  • Venue:
  • Computers and Operations Research
  • Year:
  • 2005

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Abstract

This work proposes a novel approach for solving abductive reasoning problems in Bayesian networks involving fuzzy parameters and extra constraints. The proposed method formulates abduction problems using nonlinear programming. To maximize the sum of the fuzzy membership functions subjected to various constraints, such as boundary, dependency and disjunctive conditions, unknown node belief propagation is completed. The model developed here can be built on any exact propagation methods, including clustering, joint tree decomposition, etc.