{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T17:27:40Z","timestamp":1770917260380,"version":"3.50.1"},"reference-count":46,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2021,10,12]],"date-time":"2021-10-12T00:00:00Z","timestamp":1633996800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,10,12]],"date-time":"2021-10-12T00:00:00Z","timestamp":1633996800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100014718","name":"Innovative Research Group Project of the National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61973332"],"award-info":[{"award-number":["61973332"]}],"id":[{"id":"10.13039\/100014718","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Appl Intell"],"published-print":{"date-parts":[[2022,5]]},"DOI":"10.1007\/s10489-021-02797-2","type":"journal-article","created":{"date-parts":[[2021,10,12]],"date-time":"2021-10-12T22:11:29Z","timestamp":1634076689000},"page":"7832-7842","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":34,"title":["A new correlation coefficient of mass function in evidence theory and its application in fault diagnosis"],"prefix":"10.1007","volume":"52","author":[{"given":"Chenhui","family":"Qiang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9286-2123","authenticated-orcid":false,"given":"Yong","family":"Deng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,10,12]]},"reference":[{"issue":"2","key":"2797_CR1","first-page":"49","volume":"3","author":"S Chakraborty","year":"2020","unstructured":"Chakraborty S, Chattopadhyay R, Chakraborty S (2020) An integrated d-marcos method for supplier selection in an iron and steel industry. Decision Making: Applications in Management and Engineering 3(2):49\u201369","journal-title":"Decision Making: Applications in Management and Engineering"},{"issue":"1008","key":"2797_CR2","doi-asserted-by":"publisher","first-page":"16","DOI":"10.3390\/e23081008","volume":"23","author":"X Chen","year":"2021","unstructured":"Chen X, Wang T, Ying R, Cao Z (2021) A fault diagnosis method considering meteorological factorsfor transmission networks based on p systems. Entropy 23(1008):16. https:\/\/doi.org\/10.3390\/e23081008","journal-title":"Entropy"},{"issue":"11","key":"2797_CR3","doi-asserted-by":"publisher","first-page":"1292","DOI":"10.3390\/math9111292","volume":"9","author":"Y Chen","year":"2021","unstructured":"Chen Y, Tang Y (2021) An improved approach of incomplete information fusion and its application in sensor data-based fault diagnosis. Mathematics 9(11):1292","journal-title":"Mathematics"},{"issue":"4","key":"2797_CR4","doi-asserted-by":"publisher","first-page":"402","DOI":"10.3390\/e23040402","volume":"23","author":"Y Chen","year":"2021","unstructured":"Chen Y, Tang Y (2021) Measuring the uncertainty in the original and negation of evidence using belief entropy for conflict data fusion. Entropy 23(4):402","journal-title":"Entropy"},{"key":"2797_CR5","doi-asserted-by":"publisher","first-page":"68607","DOI":"10.1109\/ACCESS.2019.2917630","volume":"7","author":"C Cheng","year":"2019","unstructured":"Cheng C, Xiao F (2019) A new distance measure of belief function in evidence theory. IEEE Access 7:68607\u201368617","journal-title":"IEEE Access"},{"key":"2797_CR6","doi-asserted-by":"publisher","first-page":"24","DOI":"10.1051\/meca\/2021022","volume":"22","author":"Y Dalian","year":"2021","unstructured":"Dalian Y, Fanyu Z, Jingjing M, Hongxian Z, Renjie L, Jie T (2021) Dual-rotor misalignment fault quantitative identification based on dbn and improved ds evidence theory. Mechanics & Industry 22:24","journal-title":"Mechanics & Industry"},{"key":"2797_CR7","doi-asserted-by":"crossref","unstructured":"Dempster AP (1967) Upper and lower probabilities induced by a multivalued mapping. The Annals of Mathematical Statistics: 325\u2013339","DOI":"10.1214\/aoms\/1177698950"},{"key":"2797_CR8","doi-asserted-by":"publisher","first-page":"549","DOI":"10.1016\/j.chaos.2016.07.014","volume":"91","author":"Y Deng","year":"2016","unstructured":"Deng Y (2016) Deng entropy. Chaos, Solitons & Fractals 91:549\u2013553","journal-title":"Chaos, Solitons & Fractals"},{"issue":"3","key":"2797_CR9","doi-asserted-by":"publisher","first-page":"329","DOI":"10.15837\/ijccc.2019.3.3589","volume":"14","author":"Y Dong","year":"2019","unstructured":"Dong Y, Zhang J, Li Z, Hu Y, Deng Y (2019) Combination of evidential sensor reports with distance function and belief entropy in fault diagnosis. Int J Comput Commun Control 14(3):329\u2013 343","journal-title":"Int J Comput Commun Control"},{"key":"2797_CR10","doi-asserted-by":"publisher","first-page":"1201","DOI":"10.1016\/j.ins.2020.07.072","volume":"547","author":"YW Du","year":"2021","unstructured":"Du YW, Zhong JJ (2021) Generalized combination rule for evidential reasoning approach and dempster\u2013shafer theory of evidence. Inform Sci 547:1201\u20131232","journal-title":"Inform Sci"},{"key":"2797_CR11","doi-asserted-by":"crossref","unstructured":"Fan X, Zuo MJ (2006) Fault diagnosis of machines based on d-s evidence theory. part 1. Pattern Recogn Lett","DOI":"10.1016\/j.patrec.2005.08.025"},{"issue":"3","key":"2797_CR12","doi-asserted-by":"publisher","first-page":"959","DOI":"10.1007\/s00158-018-2112-2","volume":"59","author":"R Gao","year":"2019","unstructured":"Gao R, Yin S, Xiong F (2019) Response analysis and reliability-based design optimization of structural-acoustic system under evidence theory. Struct Multidiscip Optim 59(3):959\u2013975","journal-title":"Struct Multidiscip Optim"},{"issue":"2","key":"2797_CR13","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1002\/int.22208","volume":"35","author":"X Gao","year":"2020","unstructured":"Gao X, Deng Y (2020) Quantum model of mass function. Int J Intell Sys 35(2):267\u2013282","journal-title":"Int J Intell Sys"},{"key":"2797_CR14","doi-asserted-by":"publisher","first-page":"106758","DOI":"10.1016\/j.ast.2021.106758","volume":"114","author":"Q Jia","year":"2021","unstructured":"Jia Q, Hu J, Zhang W (2021) A fault detection method for fads system based on interval-valued neutrosophic sets, belief rule base, and ds evidence reasoning. Aerosp Sci Technol 114:106758","journal-title":"Aerosp Sci Technol"},{"key":"2797_CR15","doi-asserted-by":"publisher","first-page":"94","DOI":"10.1016\/j.ijar.2018.09.001","volume":"103","author":"W Jiang","year":"2018","unstructured":"Jiang W (2018) A correlation coefficient for belief functions. Int J Approx Reason 103:94\u2013106","journal-title":"Int J Approx Reason"},{"issue":"3","key":"2797_CR16","doi-asserted-by":"publisher","first-page":"630","DOI":"10.1007\/s10489-016-0851-6","volume":"46","author":"W Jiang","year":"2017","unstructured":"Jiang W, Zhan J (2017) A modified combination rule in generalized evidence theory. Appl Intell 46(3):630\u2013640","journal-title":"Appl Intell"},{"issue":"1","key":"2797_CR17","doi-asserted-by":"publisher","first-page":"1217","DOI":"10.1186\/s40064-016-2863-4","volume":"5","author":"W Jiang","year":"2016","unstructured":"Jiang W, Zhuang M, Qin X, Tang Y (2016) Conflicting evidence combination based on uncertainty measure and distance of evidence. Springerplus 5(1):1217","journal-title":"Springerplus"},{"issue":"5","key":"2797_CR18","doi-asserted-by":"publisher","first-page":"623","DOI":"10.3390\/e23050623","volume":"23","author":"MR Kazemi","year":"2021","unstructured":"Kazemi MR, Tahmasebi S, Buono F, Longobardi M (2021) Fractional deng entropy and extropy and some applications. Entropy 23(5):623","journal-title":"Entropy"},{"key":"2797_CR19","doi-asserted-by":"publisher","first-page":"174734","DOI":"10.1109\/ACCESS.2019.2956956","volume":"7","author":"D Li","year":"2019","unstructured":"Li D, Gao X, Deng Y (2019) A generalized expression for information quality of basic probability assignment. IEEE Access 7:174734\u2013174739","journal-title":"IEEE Access"},{"issue":"8","key":"2797_CR20","doi-asserted-by":"publisher","first-page":"6681","DOI":"10.1007\/s00500-021-05666-9","volume":"25","author":"H Li","year":"2021","unstructured":"Li H, Cai R (2021) An improved expression for information quality of basic probability assignment and its application in target recognition. Soft Comput 25(8):6681\u20136690","journal-title":"Soft Comput"},{"key":"2797_CR21","doi-asserted-by":"publisher","first-page":"101178","DOI":"10.1016\/j.ijdrr.2019.101178","volume":"37","author":"P Li","year":"2019","unstructured":"Li P, Wei C (2019) An emergency decision-making method based on ds evidence theory for probabilistic linguistic term sets. Int J Disaster Risk Reduct 37:101178","journal-title":"Int J Disaster Risk Reduct"},{"key":"2797_CR22","doi-asserted-by":"crossref","unstructured":"Li R, Chen Z, Li H, Tang Y (2021) A new distance-based total uncertainty measure in dempster-shafer evidence theory. Appl Intell: 1\u201329","DOI":"10.1007\/s10489-021-02378-3"},{"key":"2797_CR23","doi-asserted-by":"publisher","first-page":"103948","DOI":"10.1016\/j.tust.2021.103948","volume":"113","author":"S Li","year":"2021","unstructured":"Li S, Liu C, Zhou Z, Li L, Shi S, Yuan Y (2021) Multi-sources information fusion analysis of water inrush disaster in tunnels based on improved theory of evidence. Tunnelling and Underground Space Technology 113:103948","journal-title":"Tunnelling and Underground Space Technology"},{"key":"2797_CR24","doi-asserted-by":"publisher","first-page":"106417","DOI":"10.1109\/ACCESS.2019.2932763","volume":"7","author":"Y Li","year":"2019","unstructured":"Li Y, Deng Y (2019) Intuitionistic evidence sets. IEEE Access 7:106417\u2013106426","journal-title":"IEEE Access"},{"key":"2797_CR25","doi-asserted-by":"crossref","unstructured":"Liang H, Cai R (2021) A new correlation coefficient of bpa based on generalized information quality. Int J Intell Sys","DOI":"10.1002\/int.22490"},{"issue":"5","key":"2797_CR26","doi-asserted-by":"publisher","first-page":"799","DOI":"10.4218\/etrij.2019-0147","volume":"42","author":"D Liu","year":"2020","unstructured":"Liu D (2020) Prediction of network security based on ds evidence theory. ETRI J 42(5):799\u2013804","journal-title":"ETRI J"},{"key":"2797_CR27","doi-asserted-by":"crossref","unstructured":"Liu H, Fang Y, Liu Q, Liu A (2016) Improved measure of evidence conflict based on pignistic probability distance, IEEE","DOI":"10.1109\/ICCSNT.2016.8070158"},{"key":"2797_CR28","doi-asserted-by":"publisher","first-page":"32","DOI":"10.1016\/j.apm.2019.07.017","volume":"77","author":"J Liu","year":"2020","unstructured":"Liu J, Cao L, Jiang C, Ni B, Zhang D (2020) Parallelotope-formed evidence theory model for quantifying uncertainties with correlation. Appl Math Model 77:32\u201348","journal-title":"Appl Math Model"},{"issue":"9","key":"2797_CR29","doi-asserted-by":"publisher","first-page":"2270","DOI":"10.1109\/TFUZZ.2019.2930027","volume":"28","author":"Z Luo","year":"2019","unstructured":"Luo Z, Deng Y (2019) A matrix method of basic belief assignment\u2019s negation in dempster\u2013shafer theory. IEEE Trans Fuzzy Syst 28(9):2270\u20132276","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"2797_CR30","doi-asserted-by":"publisher","first-page":"210","DOI":"10.1016\/j.isatra.2020.05.011","volume":"113","author":"S Ma","year":"2021","unstructured":"Ma S, Jia B, Wu J, Yuan Y, Jiang Y, Li W (2021) Multi-vibration information fusion for detection of hvcb faults using cart and d\u2013s evidence theory. ISA Transactions 113:210\u2013221","journal-title":"ISA Transactions"},{"issue":"2","key":"2797_CR31","doi-asserted-by":"publisher","first-page":"163","DOI":"10.3390\/e21020163","volume":"21","author":"Q Pan","year":"2019","unstructured":"Pan Q, Zhou D, Tang Y, Li X, Huang J (2019) A novel belief entropy for measuring uncertainty in dempster-shafer evidence theory framework based on plausibility transformation and weighted hartley entropy. Entropy 21(2):163","journal-title":"Entropy"},{"key":"2797_CR32","doi-asserted-by":"publisher","DOI":"10.1515\/9780691214696","volume-title":"A mathematical theory of evidence, vol 42","author":"G Shafer","year":"1976","unstructured":"Shafer G (1976) A mathematical theory of evidence, vol 42 . Princeton University Press, Princeton"},{"issue":"5","key":"2797_CR33","first-page":"95","volume":"35","author":"Y Song","year":"2014","unstructured":"Song Y, Wang X, Lei L, Xue A (2014) Measurement of evidence conflict based on correlation coefficient. J Commun 35(5):95\u2013 100","journal-title":"J Commun"},{"key":"2797_CR34","doi-asserted-by":"crossref","unstructured":"Sun L, Zhang Y, Fu Z, Zheng G, He Z, Pu J (2018) An approach to multi-sensor decision fusion based on the improved jousselme evidence distance. In: 2018 International Conference on Control, Automation and Information Sciences (ICCAIS). IEEE, pp 189\u2013193","DOI":"10.1109\/ICCAIS.2018.8570551"},{"key":"2797_CR35","unstructured":"Tang H (2017) Decision making based on interval-valued intuitionistic fuzzy soft sets and its algorithm. J Comput Anal Appl 23(1)"},{"key":"2797_CR36","doi-asserted-by":"publisher","first-page":"275","DOI":"10.1016\/j.neucom.2021.03.066","volume":"450","author":"Z Tong","year":"2021","unstructured":"Tong Z, Xu P, Denoeux T (2021) An evidential classifier based on dempster-shafer theory and deep learning. Neurocomputing 450:275\u2013293","journal-title":"Neurocomputing"},{"issue":"10","key":"2797_CR37","doi-asserted-by":"publisher","first-page":"987","DOI":"10.3390\/e21100987","volume":"21","author":"D Wang","year":"2019","unstructured":"Wang D, Gao J, Wei D (2019) A new belief entropy based on deng entropy. Entropy 21 (10):987","journal-title":"Entropy"},{"issue":"105961","key":"2797_CR38","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1016\/j.ijepes.2020.105961","volume":"119","author":"T Wang","year":"2020","unstructured":"Wang T, Liu W, Zhao J, Guo X, Terzijae V (2020) A rough set- based bio-inspired fault diagnosis method for electrical substations. Int J Electr Power Energy Sys 119(105961):10. https:\/\/doi.org\/10.1016\/j.ijepes.2020.105961","journal-title":"Int J Electr Power Energy Sys"},{"key":"2797_CR39","doi-asserted-by":"publisher","first-page":"103680","DOI":"10.1016\/j.engappai.2020.103680","volume":"92","author":"T Wang","year":"2020","unstructured":"Wang T, Wei X, Wang J, Huang T, Peng H, Song X, Cabrera LV, Perez-Jimenez MJ (2020) A weighted corrective fuzzy reasoning spiking neural p system for fault diagnosis in power systems with variable topologies. Eng Appl Artif Intell 92:103680","journal-title":"Eng Appl Artif Intell"},{"issue":"4","key":"2797_CR40","doi-asserted-by":"publisher","first-page":"1525","DOI":"10.1109\/TNNLS.2020.2984918","volume":"32","author":"F Xiao","year":"2020","unstructured":"Xiao F (2020) Ced: A distance for complex mass functions. IEEE Trans Neural Netw Learn Sys 32(4):1525\u20131535","journal-title":"IEEE Trans Neural Netw Learn Sys"},{"issue":"4","key":"2797_CR41","doi-asserted-by":"publisher","first-page":"3665","DOI":"10.3233\/JIFS-179589","volume":"38","author":"F Xiao","year":"2020","unstructured":"Xiao F (2020) Generalized belief function in complex evidence theory. J Intell Fuzzy Syst 38 (4):3665\u20133673","journal-title":"J Intell Fuzzy Syst"},{"key":"2797_CR42","doi-asserted-by":"crossref","unstructured":"Xu Y, Li Z, Huang G, Qian Y, Sheng G, Jiang X (2021) Application of multi-source information fusion based on d-s evidence theory in insulation defect identification of dc xlpe cable. High Voltage","DOI":"10.1049\/hve2.12129"},{"key":"2797_CR43","unstructured":"Yang X, Weijian L, Mengjie LI, Zhihong Q (2019) Evidence combination method based on pignistic function transformation and correlation coefficient. J Commun"},{"issue":"1","key":"2797_CR44","doi-asserted-by":"publisher","first-page":"113","DOI":"10.3390\/s16010113","volume":"16","author":"K Yuan","year":"2016","unstructured":"Yuan K, Xiao F, Fei L, Kang B, Yong D (2016) Modeling sensor reliability in fault diagnosis based on evidence theory. Sensors 16(1):113","journal-title":"Sensors"},{"issue":"2","key":"2797_CR45","doi-asserted-by":"publisher","first-page":"2231","DOI":"10.3233\/JIFS-182529","volume":"37","author":"XX Zhang","year":"2019","unstructured":"Zhang XX, Wang YM, Chen SQ, Chu JF (2019) Evidential reasoning rule for interval-valued belief structures combination. J Intell Fuzzy Syst 37(2):2231\u20132242","journal-title":"J Intell Fuzzy Syst"},{"key":"2797_CR46","doi-asserted-by":"crossref","unstructured":"Zhu W, Ku Q, Wu Y, Zhang H, Sun Y, Zhang C (2018) A research into the evidence reasoning theory of two-dimensional framework and its application. Kybernetes","DOI":"10.1108\/K-05-2017-0156"}],"container-title":["Applied Intelligence"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10489-021-02797-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10489-021-02797-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10489-021-02797-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,5]],"date-time":"2022-05-05T09:32:03Z","timestamp":1651743123000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10489-021-02797-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,10,12]]},"references-count":46,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2022,5]]}},"alternative-id":["2797"],"URL":"https:\/\/doi.org\/10.1007\/s10489-021-02797-2","relation":{},"ISSN":["0924-669X","1573-7497"],"issn-type":[{"value":"0924-669X","type":"print"},{"value":"1573-7497","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,10,12]]},"assertion":[{"value":"25 August 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 October 2021","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}