不完備識別框架下的證據(jù)組合方法
The Combination of Evidences in an Incomplete Frame of Discernment
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摘要: 證據(jù)理論應(yīng)用中經(jīng)常面臨識別框架不完備問題。本文引入證據(jù)框架概念,把識別框架分為已知和未知兩個部分,提出一種在識別框架不完備條件下表示和組合證據(jù)的開放識別框架方法。該方法能明確區(qū)分識別框架不完備與證據(jù)沖突兩個不同概念,并合理解決了對未知命題集合的基本概率賦值問題,從而克服了D-S理論以及Smets的開放世界假設(shè)方法在處理不完備識別框架時(shí)存在的不足。Abstract: The incompleteness of the frame of discernment is one of the main difficulties confronted in the application of the evidence theory. In this paper, through introducing a newly defined evidence frame which divides the frame of discernment into known and unknown parts, an open frame method to represent and combine evidence under incomplete frame is proposed. This method can distinguish the incompleteness of frame from the conflict of evidence clearly. It also presents a rational way to assign a BPA to the set of unknown propositions. Therefore such a method avoids the problems confronted by the D-S theory and Smetss open world assumption in dealing with incomplete frame.
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