arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1907.04719cs.AI
收藏

广义信度函数:不确定性建模与处理的新概念

Generalized Belief Function: A new concept for uncertainty modelling and processing

Southwest University(西南大学)

Fuyuan Xiao

摘要:

本文从另一个角度推广了复平面上的信度函数。本文首先提出了一种基于复数的复质量函数的概念,称为复基本信念分配,它是对Dempster-Shafer证据理论中传统质量函数的推广。在复质量函数定义的基础上,推广了信度函数和可信度函数。特别地,当复质量函数从复数退化为实数时,广义信念函数和广义可验证性函数分别退化为DSE理论中的传统信念函数和传统可验证性函数.

英文摘要:

In this paper, we generalize the belief function on complex plane from another point of view. We first propose a new concept of complex mass function based on the complex number, called complex basic belief assignment, which is a generalization of the traditional mass function in Dempster-Shafer evidence theory. On the basis of the de nition of complex mass function, the belief function and plausibility function are generalized. In particular, when the complex mass function is degenerated from complex numbers to real numbers, the generalized belief and plausibility functions degenerate into the traditional belief and plausibility functions in DSE theory, respectively.

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。

↑