The Canonical Decomposition of a Weighted Belief

Smets, Philippe

The Canonical Decomposition of a Weighted Belief

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Proceedings of the Fourteenth International Joint Conference on Artificial Intelligence. Reasoning Under Uncertainty. Pages 1896-1900.

Abstract

Any belief function can be decomposed into a confidence and a diffidence components . Each components is uniquely decomposable into simple support functions that represent the impact of the simplest form of evidence, the one that only partially supports a given subset of the frame of discernment. The nature of the inverse of Dempster's rule of combination is detailed. The confidence component translates the impact of ' good reasons to believe'. It is the component classically considered when constructing a belief. The diffidence component translates the impact of 'good reasons not to believe' .

Philippe Smets. 1995. The Canonical Decomposition of a Weighted Belief. In Proceedings of the Fourteenth International Joint Conference on Artificial Intelligence, IJCAI-95. IJCAI, 1896–1900. https://ijcai.org/proceedings/1995/243

@inproceedings{ijcai1995p243,
  title     = {The Canonical Decomposition of a Weighted Belief},
  author    = {Smets, Philippe},
  booktitle = {Proceedings of the Fourteenth International Joint Conference on
               Artificial Intelligence, {IJCAI-95}},
  publisher = {International Joint Conferences on Artificial Intelligence},
  editor    = {Chris S. Mellish},
  pages     = {1896--1900},
  year      = {1995},
  note      = {Reasoning Under Uncertainty},
  url       = {https://ijcai.org/proceedings/1995/243},
}

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PB  - International Joint Conferences on Artificial Intelligence
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