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D-S理论在开放识别框架下的推广
引用本文:曾成,赵保军,何佩琨.D-S理论在开放识别框架下的推广[J].北京理工大学学报,2005,25(4):346-351.
作者姓名:曾成  赵保军  何佩琨
作者单位:北京理工大学,信息科学技术学院电子工程系,北京,100081
基金项目:国家高技术研究发展计划(863计划)
摘    要:针对无法获取完备识别框架的应用背景,把证据模型建立在一个随着证据组合而不断完善的开放识别框架上,提出一种推广的Dempster-Shafer(D-S)证据理论--开放框架D-S理论(OFDST).基于DFDST定义证据的支持函数与反对函数,对证据的信任函数模型进行全新诠释,揭示Dempster组合规则的线性实质.最后通过一个实例验证了该理论的合理性与有效性.

关 键 词:D-S理论  开放识别框架  支持函数  反对函数  证据模型  证据理论  开放识别框架  Frame  Open  Based  Theory  有效性  合理性  实例验证  线性  组合规则  新诠释  函数模型  信任  反对函数  支持函数  完善  证据组合  证据模型  背景
文章编号:1001-0645(2005)04-0346-06
收稿时间:7/9/2004 12:00:00 AM
修稿时间:2004年7月9日

Generalized Dempster-Shafer Theory Based on an Open Frame of Discernment
ZENG Cheng,ZHAO Bao-jun and HE Pei-kun.Generalized Dempster-Shafer Theory Based on an Open Frame of Discernment[J].Journal of Beijing Institute of Technology(Natural Science Edition),2005,25(4):346-351.
Authors:ZENG Cheng  ZHAO Bao-jun and HE Pei-kun
Institution:Department of Electronic Engineering, School of Information Science and Technology, Beijing Institute of Technology, Beijing100081, China;Department of Electronic Engineering, School of Information Science and Technology, Beijing Institute of Technology, Beijing100081, China;Department of Electronic Engineering, School of Information Science and Technology, Beijing Institute of Technology, Beijing100081, China
Abstract:A generalized evidence theory, named as open frame Dempster-Shafer theory (OFDST), is proposed in the case of that a completed frame of discernment is unavailable. In the OFDST, the evidence's model is based on an open frame of discernment which will be complemented and enriched gradually during evidence combination. With the support function and objecting function defined on the OFDST, a novel interpretation of the evidence's belief function model is presented and the linear essence of the Dempster's rule of combination is demonstrated. Finally, an example is presented to illustrate the rationality and effectiveness of this theory.
Keywords:Dempster-Shafer theory  open frame of discernment  support function  objecting function  evidence's model
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