{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,5]],"date-time":"2026-01-05T21:53:43Z","timestamp":1767650023510,"version":"build-2065373602"},"reference-count":44,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2012,7,26]],"date-time":"2012-07-26T00:00:00Z","timestamp":1343260800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Performance degradation assessment based on condition monitoring plays an important role in ensuring reliable operation of equipment, reducing production downtime and saving maintenance costs, yet performance degradation has strong fuzziness, and the dynamic information is random and fuzzy, making it a challenge how to assess the fuzzy bearing performance degradation. This study proposes a monotonic degradation assessment index of rolling bearings using fuzzy support vector data description (FSVDD) and running time. FSVDD constructs the fuzzy-monitoring coefficient which is sensitive to the initial defect and stably increases as faults develop. Moreover, the parameter describes the accelerating relationships between the damage development and running time. However, the index with an oscillating trend disagrees with the irreversible damage development. The running time is introduced to form a monotonic index, namely damage severity index (DSI). DSI inherits all advantages of and overcomes its disadvantage. A run-to-failure test is carried out to validate the performance of the proposed method. The results show that DSI reflects the growth of the damages with running time perfectly.<\/jats:p>","DOI":"10.3390\/s120810109","type":"journal-article","created":{"date-parts":[[2012,7,26]],"date-time":"2012-07-26T12:31:57Z","timestamp":1343305917000},"page":"10109-10135","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":83,"title":["A Monotonic Degradation Assessment Index of Rolling Bearings Using Fuzzy Support Vector Data Description and Running Time"],"prefix":"10.3390","volume":"12","author":[{"given":"Zhongjie","family":"Shen","sequence":"first","affiliation":[{"name":"State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"}]},{"given":"Zhengjia","family":"He","sequence":"additional","affiliation":[{"name":"State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"}]},{"given":"Xuefeng","family":"Chen","sequence":"additional","affiliation":[{"name":"State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"}]},{"given":"Chuang","family":"Sun","sequence":"additional","affiliation":[{"name":"State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"}]},{"given":"Zhiwen","family":"Liu","sequence":"additional","affiliation":[{"name":"State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"}]}],"member":"1968","published-online":{"date-parts":[[2012,7,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1115\/1.1379745","article-title":"Wavelet analysis and envelope detection for rolling element bearing fault diagnosis-their effectiveness and flexibilities","volume":"123","author":"Tse","year":"2001","journal-title":"J. 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