Evidential distance measure in complex belief function theory
This work provides a method for evidence comparison in complex belief function theory, which is incremental as it extends an existing distance measure to a more general framework.
The paper tackles the problem of measuring differences between complex basic belief assignments (CBBAs) by proposing an evidential distance measure that generalizes to complex numbers, and it shows that this measure reduces to an existing real-number distance when CBBAs are simplified to real BBAs.
In this paper, an evidential distance measure is proposed which can measure the difference or dissimilarity between complex basic belief assignments (CBBAs), in which the CBBAs are composed of complex numbers. When the CBBAs are degenerated from complex numbers to real numbers, i.e., BBAs, the proposed distance will degrade into the Jousselme et al.'s distance. Therefore, the proposed distance provides a promising way to measure the differences between evidences in a more general framework of complex plane space.