中文摘要：

在开放世界中,一个辨识框架可能没有包含命题所有可能的描述,传统的PCR组合规则并不能够对这种辨识框架不完备情况下的信息进行融合。针对该问题,在广义证据理论基本框架的基础上,提出了广义PCR组合规则。广义PCR组合规则扩展了传统PCR组合规则的适用范围,使其在辨识框架不完备的情况下,仍能够对信息进行有效融合。此外,在证据源之间存在较大冲突的情况下,广义PCR组合规则能够获得比广义DST组合规则更好的融合结果。算例结果表明,广义PCR组合规则是有效和合理的。

英文摘要：

In the open world,a frame of discernment may not contain all possible descriptions of the proposition. Traditional PCR combination rules can not fuse the information under the frame of discernment is incomplete. To solve this problem,this paper presented generalized PCR combination rules（ GPCRs） based on the basic framework of the generalized evidence theory. GPCRs extended the applicable scope of the traditional PCR combination rules. Under the case that the frame of discernment is incomplete,GPCRs are able to fuse the information effectively. Moreover,GPCRs can obtain better fusion results than the generalized DST when there are larger conflicts between evidence sources. Some numerical examples are used to show the efficiency and reasonable of the proposed GPCRs.