基本概率分配的多尺度概率变换
Multiscale probability transformation of basic probability assignment
摘要：
在证据理论的应用中，决策问题仍然是一个悬而未决的问题。在可转移信念模型（transferable belief model，简称TBM）中，基于基本概率的pignistic概率被用于决策。本文提出了一种基于置信度函数和可信度函数的基本概率分配的多尺度概率变换，它是pignistic概率变换的推广。在多尺度概率函数中，引入了一个基于Tsallis熵的因子q，使多尺度概率多样化。算例表明，多尺度概率变换在决策中更为合理。
英文摘要：
Decision making is still an open issue in the application of Dempster-Shafer evidence theory. A lot of works have been presented for it. In the transferable belief model (TBM), pignistic probabilities based on the basic probability as- signments are used for decision making. In this paper, multiscale probability transformation of basic probability assignment based on the belief function and the plausibility function is proposed, which is a generalization of the pignistic probability transformation. In the multiscale probability function, a factor q based on the Tsallis entropy is used to make the multiscale prob- abilities diversified. An example is shown that the multiscale probability transformation is more reasonable in the decision making.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
