{"title":"Decomposition of belief function in hierarchical hypotheses space","authors":"H. Hau","doi":"10.1109/TAI.1990.130427","DOIUrl":null,"url":null,"abstract":"It is shown that, in a hierarchically structured hypotheses space, any belief function whose focal elements are nodes in the hierarchy is a separable support function. An algorithm is proposed that decomposes such a separable support function into simple support functions. It is shown that the computational complexity of this decomposition algorithm is O(N/sup 2/). Applications of the decomposition of separable support functions to the data fusion problem and the reasoning about control problem are discussed.<<ETX>>","PeriodicalId":366276,"journal":{"name":"[1990] Proceedings of the 2nd International IEEE Conference on Tools for Artificial Intelligence","volume":"66 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1990] Proceedings of the 2nd International IEEE Conference on Tools for Artificial Intelligence","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TAI.1990.130427","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
It is shown that, in a hierarchically structured hypotheses space, any belief function whose focal elements are nodes in the hierarchy is a separable support function. An algorithm is proposed that decomposes such a separable support function into simple support functions. It is shown that the computational complexity of this decomposition algorithm is O(N/sup 2/). Applications of the decomposition of separable support functions to the data fusion problem and the reasoning about control problem are discussed.<>
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