{"type":"ScholarlyArticle","title":"The Canonical Decomposition of a Weighted Belief","authors":[{"name":"Philippe Smets","slug":"philippe-smets","given":"Philippe","family":"Smets","affiliation":""}],"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' .","doi":null,"url":"https://ijcai.org/proceedings/1995/243","pdf":"https://ijcai.org/proceedings/1995/0243.pdf","markdown":"https://ijcai.org/proceedings/1995/243.md","bibtex":"https://ijcai.org/proceedings/1995/bibtex/243","volume":{"slug":"1995","title":"Proceedings of the Fourteenth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 1995","url":"https://ijcai.org/proceedings/1995/","year":1995,"location":"Montréal, Québec, Canada","dates":"","editors":"Chris S. Mellish","isbn":"","publisher":"International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":"Reasoning Under Uncertainty","track":"Reasoning Under Uncertainty","number":243,"pages":{"first":1896,"last":1900},"keywords":[],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}