Probabilistic Hesitant Fuzzy Evidence Theory and Its Application in Capability Evaluation of a Satellite Communication System
Evaluating the capabilities of a satellite communication system (SCS) is challenging due to its complexity and ambiguity. It is difficult to accurately analyze uncertain situations, making it difficult for experts to determine appropriate evaluation values. To address this problem, this paper propos...
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| Format: | Article |
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MDPI AG
2024-01-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/26/1/94 |
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| author | Jiahuan Liu Ping Jian Desheng Liu Wei Xiong |
| author_facet | Jiahuan Liu Ping Jian Desheng Liu Wei Xiong |
| author_sort | Jiahuan Liu |
| collection | DOAJ |
| description | Evaluating the capabilities of a satellite communication system (SCS) is challenging due to its complexity and ambiguity. It is difficult to accurately analyze uncertain situations, making it difficult for experts to determine appropriate evaluation values. To address this problem, this paper proposes an innovative approach by extending the Dempster-Shafer evidence theory (DST) to the probabilistic hesitant fuzzy evidence theory (PHFET). The proposed approach introduces the concept of probabilistic hesitant fuzzy basic probability assignment (PHFBPA) to measure the degree of support for propositions, along with a combination rule and decision approach. Two methods are developed to generate PHFBPA based on multi-classifier and distance techniques, respectively. In order to improve the consistency of evidence, discounting factors are proposed using an entropy measure and the Jousselme distance of PHFBPA. In addition, a model for evaluating the degree of satisfaction of SCS capability requirements based on PHFET is presented. Experimental classification and evaluation of SCS capability requirements are performed to demonstrate the effectiveness and stability of the PHFET method. By employing the DST framework and probabilistic hesitant fuzzy sets, PHFET provides a compelling solution for handling ambiguous data in multi-source information fusion, thereby improving the evaluation of SCS capabilities. |
| first_indexed | 2024-03-08T10:57:11Z |
| format | Article |
| id | doaj.art-5da3ec8cce1744699ffeddb2b4ce7699 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-08T10:57:11Z |
| publishDate | 2024-01-01 |
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| spelling | doaj.art-5da3ec8cce1744699ffeddb2b4ce76992024-01-26T16:23:20ZengMDPI AGEntropy1099-43002024-01-012619410.3390/e26010094Probabilistic Hesitant Fuzzy Evidence Theory and Its Application in Capability Evaluation of a Satellite Communication SystemJiahuan Liu0Ping Jian1Desheng Liu2Wei Xiong3Science and Technology on Complex Electronic System Simulation Laboratory, Space Engineering University, Beijing 101400, ChinaScience and Technology on Complex Electronic System Simulation Laboratory, Space Engineering University, Beijing 101400, ChinaScience and Technology on Complex Electronic System Simulation Laboratory, Space Engineering University, Beijing 101400, ChinaScience and Technology on Complex Electronic System Simulation Laboratory, Space Engineering University, Beijing 101400, ChinaEvaluating the capabilities of a satellite communication system (SCS) is challenging due to its complexity and ambiguity. It is difficult to accurately analyze uncertain situations, making it difficult for experts to determine appropriate evaluation values. To address this problem, this paper proposes an innovative approach by extending the Dempster-Shafer evidence theory (DST) to the probabilistic hesitant fuzzy evidence theory (PHFET). The proposed approach introduces the concept of probabilistic hesitant fuzzy basic probability assignment (PHFBPA) to measure the degree of support for propositions, along with a combination rule and decision approach. Two methods are developed to generate PHFBPA based on multi-classifier and distance techniques, respectively. In order to improve the consistency of evidence, discounting factors are proposed using an entropy measure and the Jousselme distance of PHFBPA. In addition, a model for evaluating the degree of satisfaction of SCS capability requirements based on PHFET is presented. Experimental classification and evaluation of SCS capability requirements are performed to demonstrate the effectiveness and stability of the PHFET method. By employing the DST framework and probabilistic hesitant fuzzy sets, PHFET provides a compelling solution for handling ambiguous data in multi-source information fusion, thereby improving the evaluation of SCS capabilities.https://www.mdpi.com/1099-4300/26/1/94Dempster–Shafer evidence theoryprobabilistic hesitant fuzzy setcapability evaluationsatellite communication system |
| spellingShingle | Jiahuan Liu Ping Jian Desheng Liu Wei Xiong Probabilistic Hesitant Fuzzy Evidence Theory and Its Application in Capability Evaluation of a Satellite Communication System Entropy Dempster–Shafer evidence theory probabilistic hesitant fuzzy set capability evaluation satellite communication system |
| title | Probabilistic Hesitant Fuzzy Evidence Theory and Its Application in Capability Evaluation of a Satellite Communication System |
| title_full | Probabilistic Hesitant Fuzzy Evidence Theory and Its Application in Capability Evaluation of a Satellite Communication System |
| title_fullStr | Probabilistic Hesitant Fuzzy Evidence Theory and Its Application in Capability Evaluation of a Satellite Communication System |
| title_full_unstemmed | Probabilistic Hesitant Fuzzy Evidence Theory and Its Application in Capability Evaluation of a Satellite Communication System |
| title_short | Probabilistic Hesitant Fuzzy Evidence Theory and Its Application in Capability Evaluation of a Satellite Communication System |
| title_sort | probabilistic hesitant fuzzy evidence theory and its application in capability evaluation of a satellite communication system |
| topic | Dempster–Shafer evidence theory probabilistic hesitant fuzzy set capability evaluation satellite communication system |
| url | https://www.mdpi.com/1099-4300/26/1/94 |
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