<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This paper analyzes the different definitions of a negator of a probability mass function (pmf) and a Basic Belief Assignment (BBA) available in the literature. To overcome their limitations we propose an involutory negator of BBA, and we present a new indirect information fusion method based on this negator which can simplify the conflict management problem. The direct and indirect information fusion strategies are analyzed for three interesting examples of fusion of two BBAs. We also propose two methods for using the whole available information (the original BBAs and their negators) for decision-making support. The first method is based on the combination of the direct and indirect fusion strategies, and the second method selects the most reasonable fusion strategy to apply (direct, or indirect) based on the maximum entropy principle.</p>
</abstract>

This paper analyzes the different definitions of a negator of a probability mass function (pmf) and a Basic Belief Assignment (BBA) available in the literature. To overcome their limitations we propose an involutory negator of BBA, and we present a new indirect information fusion method based on this negator which can simplify the conflict management problem. The direct and indirect information fusion strategies are analyzed for three interesting examples of fusion of two BBAs. We also propose two methods for using the whole available information (the original BBAs and their negators) for decision-making support. The first method is based on the combination of the direct and indirect fusion strategies, and the second method selects the most reasonable fusion strategy to apply (direct, or indirect) based on the maximum entropy principle.

Involutory Negator of Basic Belief Assignments

Cybernetics and Information Technologies

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Involutory Negator of Basic Belief Assignments"}

This paper analyzes the different definitions of a negator of a probability mass function (pmf) and a Basic Belief Assignment (BBA) available in the...

Involutory Negator of Basic Belief Assignments

Publicado en línea: 28 sept 2023

Páginas: 3 - 22

Recibido: 25 abr 2023

Aceptado: 05 jun 2023

DOI: https://doi.org/10.2478/cait-2023-0021

Palabras clave
Belief functions, BBA negator, Information fusion, Measure of uncertainty, Entropy

© 2023 Jean Dezert et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Involutory Negator of Basic Belief Assignments

Publicado en línea: 28 sept 2023

Páginas: 3 - 22

Recibido: 25 abr 2023

Aceptado: 05 jun 2023

DOI: https://doi.org/10.2478/cait-2023-0021

Palabras claveBelief functions, BBA negator, Information fusion, Measure of uncertainty, Entropy

© 2023 Jean Dezert et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Palabras clave
Belief functions, BBA negator, Information fusion, Measure of uncertainty, Entropy