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 literature. To overcome their limitations we propose an involutory negator of BBA, and we present a new indirect information fusion method based on thi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2023-09-01
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| Series: | Cybernetics and Information Technologies |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/cait-2023-0021 |
| _version_ | 1797668729185632256 |
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| author | Dezert Jean Tchamova Albena |
| author_facet | Dezert Jean Tchamova Albena |
| author_sort | Dezert Jean |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T20:33:39Z |
| format | Article |
| id | doaj.art-a8ab04eee0e547008702c3a5c9d9bc22 |
| institution | Directory Open Access Journal |
| issn | 1314-4081 |
| language | English |
| last_indexed | 2024-03-11T20:33:39Z |
| publishDate | 2023-09-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Cybernetics and Information Technologies |
| spelling | doaj.art-a8ab04eee0e547008702c3a5c9d9bc222023-10-02T07:39:15ZengSciendoCybernetics and Information Technologies1314-40812023-09-0123332210.2478/cait-2023-0021Involutory Negator of Basic Belief AssignmentsDezert Jean0Tchamova Albena11The French Aerospace Lab, Palaiseau, France, France2Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, BulgariaThis 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.https://doi.org/10.2478/cait-2023-0021belief functionsbba negatorinformation fusionmeasure of uncertaintyentropy |
| spellingShingle | Dezert Jean Tchamova Albena Involutory Negator of Basic Belief Assignments Cybernetics and Information Technologies belief functions bba negator information fusion measure of uncertainty entropy |
| title | Involutory Negator of Basic Belief Assignments |
| title_full | Involutory Negator of Basic Belief Assignments |
| title_fullStr | Involutory Negator of Basic Belief Assignments |
| title_full_unstemmed | Involutory Negator of Basic Belief Assignments |
| title_short | Involutory Negator of Basic Belief Assignments |
| title_sort | involutory negator of basic belief assignments |
| topic | belief functions bba negator information fusion measure of uncertainty entropy |
| url | https://doi.org/10.2478/cait-2023-0021 |
| work_keys_str_mv | AT dezertjean involutorynegatorofbasicbeliefassignments AT tchamovaalbena involutorynegatorofbasicbeliefassignments |