D-S理论在开放识别框架下的推广  

Generalized Dempster-Shafer Theory Based on an Open Frame of Discernment

作　　者：曾成[1] 赵保军[1] 何佩琨[1] 

机构地区：[1]北京理工大学信息科学技术学院电子工程系,北京100081

出　　处：《北京理工大学学报》2005年第4期346-351,共6页Transactions of Beijing Institute of Technology

基　　金：国家"八六三"计划项目(2002AA813032)

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.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.

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 

分 类 号：TP391[自动化与计算机技术—计算机应用技术] TN911.7[自动化与计算机技术—计算机科学与技术]