冲突证据的相关系数度量方法

doi:10.11959/j.issn.1000-436x.2018277

Abstract

Abstract:

The complex battlefield environment increases the uncertainty of reconnaissance information processing, so the uncertain information processing is investigated, especially the conflict evidence measurement, based on the belief functions. The normalized evidence correlation is defined as the correlation coefficient measurement for conflict evidence. In order to solve the drawback that the existing conflict evidence measurement methods do not distinguish the single set and multiple sets, the union core and core relational matrix are defined to modify the union core and core correlation respectively and further obtain the modified conflict evidence measurement. Finally, the efficiency of the proposed correlation coefficient measurement for conflict evidence is illustrated in the classical simulation example.

Key words: belief function, conflict evidence, correlation coefficient, relational matrix

CLC Number:

TP237

Guidong SUN,Xin GUAN,Xiao YI,Jing ZHAO. Correlation coefficient measurement for conflict evidence[J]. Journal on Communications, 2018, 39(12): 30-39.

Figures/Tables 2

A	k	d_BPA	$d i f B e t P_{m_{1}}^{m_{2}}$	1–r	1–cos	k^d	Conf
{1}	0.05	0.785 8	0.605	0.668 7	0.560 3	0.417 9	0.741 5
{1,2}	0.05	0.686 6	0.426	0.357 8	0.248 0	0.368 3	0.560 0
{1,2,3}	0.05	0.563 3	0.248	0.142 1	0.083 6	0.310 3	0.386 7
{1,2,3,4}	0.05	0.428 6	0.125	0.071 0	0.023 8	0.236 9	0.196 9
{1,2,3,4,5}	0.05	0.132 2	0.125	0.069 2	0.003 4	0.091 2	0.009 4
{1,2,…,6}	0.05	0.388 3	0.258	0.108 7	0.019 6	0.219 2	0.163 9
{1,2,…,7}	0.05	0.502 9	0.355	0.298 6	0.064 2	0.276 5	0.280 8
{1,2,…,8}	0.05	0.570 5	0.425	0.322 7	0.106 9	0.310 3	0.363 8
{1,2,…,9}	0.05	0.618 7	0.480	0.356 4	0.152 1	0.334 4	0.428 8
{1,2,…,10}	0.05	0.655 3	0.525	0.393 4	0.196 7	0.352 7	0.481 1
{1,2,…,11}	0.05	0.684 4	0.560	0.430 2	0.239 0	0.367 2	0.524 2
{1,2,…,12}	0.05	0.708 1	0.591	0.464 9	0.278 5	0.379 1	0.560 2
{1,2,…,13}	0.05	0.727 4	0.617	0.496 9	0.314 7	0.389 1	0.590 8
{1,2,…,14}	0.05	0.744 4	0.639	0.526 0	0.347 9	0.397 6	0.617 1
{1,2,…,15}	0.05	0.759 2	0.658	0.552 3	0.378 1	0.405 0	0.640 0
{1,2,…,16}	0.05	0.765 8	0.675	0.575 9	0.405 6	0.411 5	0.660 1
{1,2,…,17}	0.05	0.783 9	0.689	0.597 3	0.430 5	0.417 3	0.677 8
{1,2,…,18}	0.05	0.794 4	0.702	0.616 5	0.453 3	0.422 6	0.693 6
{1,2,…,19}	0.05	0.804 2	0.714	0.633 9	0.473 9	0.427 3	0.707 8
{1,2,…,20}	0.05	0.812 3	0.725	0.637 3	0.492 8	0.431 7	0.720 6

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