{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,16]],"date-time":"2026-07-16T19:54:34Z","timestamp":1784231674004,"version":"3.55.0"},"reference-count":61,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2017,4,22]],"date-time":"2017-04-22T00:00:00Z","timestamp":1492819200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61671384"],"award-info":[{"award-number":["61671384"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Basic Research Plan in Shaanxi Province of China","award":["2016JM6018"],"award-info":[{"award-number":["2016JM6018"]}]},{"name":"Aviation Science Foundation","award":["20165553036"],"award-info":[{"award-number":["20165553036"]}]},{"name":"Fund of Shanghai Aerospace Science and Technology","award":["SAST2016083"],"award-info":[{"award-number":["SAST2016083"]}]},{"name":"Innovation Foundation for Doctor Dissertation of Northwestern Polytechnical University","award":["CX201705"],"award-info":[{"award-number":["CX201705"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In real applications, how to measure the uncertain degree of sensor reports before applying sensor data fusion is a big challenge. In this paper, in the frame of Dempster\u2013Shafer evidence theory, a weighted belief entropy based on Deng entropy is proposed to quantify the uncertainty of uncertain information. The weight of the proposed belief entropy is based on the relative scale of a proposition with regard to the frame of discernment (FOD). Compared with some other uncertainty measures in Dempster\u2013Shafer framework, the new measure focuses on the uncertain information represented by not only the mass function, but also the scale of the FOD, which means less information loss in information processing. After that, a new multi-sensor data fusion approach based on the weighted belief entropy is proposed. The rationality and superiority of the new multi-sensor data fusion method is verified according to an experiment on artificial data and an application on fault diagnosis of a motor rotor.<\/jats:p>","DOI":"10.3390\/s17040928","type":"journal-article","created":{"date-parts":[[2017,4,24]],"date-time":"2017-04-24T13:10:11Z","timestamp":1493039411000},"page":"928","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":84,"title":["A Weighted Belief Entropy-Based Uncertainty Measure for Multi-Sensor Data Fusion"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2568-9628","authenticated-orcid":false,"given":"Yongchuan","family":"Tang","sequence":"first","affiliation":[{"name":"School of Electronics and Information, Northwestern Polytechnical University, Xi\u2019an 710072, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Deyun","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Electronics and Information, Northwestern Polytechnical University, Xi\u2019an 710072, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shuai","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Electronics and Information, Northwestern Polytechnical University, Xi\u2019an 710072, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zichang","family":"He","sequence":"additional","affiliation":[{"name":"School of Electronics and Information, Northwestern Polytechnical University, Xi\u2019an 710072, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2017,4,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1350029","DOI":"10.1142\/S0129065713500299","article-title":"Evolving RBF neural networks for adaptive soft-sensor design","volume":"23","author":"Alexandridis","year":"2013","journal-title":"Int. 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