{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T10:38:14Z","timestamp":1776335894320,"version":"3.51.2"},"reference-count":66,"publisher":"Springer Science and Business Media LLC","issue":"20","license":[{"start":{"date-parts":[[2023,5,23]],"date-time":"2023-05-23T00:00:00Z","timestamp":1684800000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,5,23]],"date-time":"2023-05-23T00:00:00Z","timestamp":1684800000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["No. 61973332"],"award-info":[{"award-number":["No. 61973332"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2023,10]]},"DOI":"10.1007\/s00500-023-08295-6","type":"journal-article","created":{"date-parts":[[2023,5,23]],"date-time":"2023-05-23T14:53:36Z","timestamp":1684853616000},"page":"15123-15132","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A new probability transformation approach of mass function"],"prefix":"10.1007","volume":"27","author":[{"given":"Luyuan","family":"Chen","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":[[2023,5,23]]},"reference":[{"key":"8295_CR1","doi-asserted-by":"crossref","unstructured":"Anjaria K (2020) Negation and entropy: effectual knowledge management equipment for learning organizations. Expert Syst Appl 157:113497","DOI":"10.1016\/j.eswa.2020.113497"},{"key":"8295_CR2","doi-asserted-by":"crossref","DOI":"10.1016\/j.physa.2022.127214","volume":"596","author":"N Balakrishnan","year":"2022","unstructured":"Balakrishnan N, Buono F, Longobardi M (2022) A unified formulation of entropy and its application. Phys A 596:127214","journal-title":"Phys A"},{"issue":"6","key":"8295_CR3","doi-asserted-by":"crossref","first-page":"1598","DOI":"10.1109\/TFUZZ.2016.2543750","volume":"24","author":"ME Boudaren","year":"2016","unstructured":"Boudaren ME, Pieczynski W (2016) Dempster\u2013Shafer fusion of evidential pairwise Markov chains. IEEE Trans Fuzzy Syst 24(6):1598\u20131610","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"7","key":"8295_CR4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.4018\/JOEUC.302891","volume":"34","author":"Y Che","year":"2022","unstructured":"Che Y, Deng Y, Yuan Y-H (2022) Maximum-entropy-based decision-making trial and evaluation laboratory and its application in emergency management. J Org End User Comput (JOEUC) 34(7):1\u201316","journal-title":"J Org End User Comput (JOEUC)"},{"issue":"13","key":"8295_CR5","doi-asserted-by":"crossref","first-page":"2325","DOI":"10.3390\/math10132325","volume":"10","author":"X Chen","year":"2022","unstructured":"Chen X, Deng Y (2022) An evidential software risk evaluation model. Mathematics 10(13):2325","journal-title":"Mathematics"},{"issue":"2","key":"8295_CR6","doi-asserted-by":"crossref","first-page":"5299","DOI":"10.15837\/ijccc.2023.2.5299","volume":"18","author":"X Chen","year":"2023","unstructured":"Chen X, Deng Y (2023) A new belief entropy and its application in software risk analysis. Int J Comput Commun Control 18(2):5299","journal-title":"Int J Comput Commun Control"},{"key":"8295_CR7","doi-asserted-by":"crossref","first-page":"104438","DOI":"10.1016\/j.engappai.2021.104438","volume":"105","author":"L Chen","year":"2021","unstructured":"Chen L, Deng Y, Cheong KH (2021) Probability transformation of mass function: a weighted network method based on the ordered visibility graph. Eng Appl Artif Intell 105:104438","journal-title":"Eng Appl Artif Intell"},{"key":"8295_CR8","doi-asserted-by":"crossref","first-page":"226","DOI":"10.1016\/j.ins.2023.01.105","volume":"628","author":"L Chen","year":"2023","unstructured":"Chen L, Deng Y, Cheong KH (2023) The distance of random permutation set. Inf Sci 628:226\u2013239","journal-title":"Inf Sci"},{"key":"8295_CR9","doi-asserted-by":"crossref","first-page":"105701","DOI":"10.1016\/j.engappai.2022.105701","volume":"119","author":"L Chen","year":"2023","unstructured":"Chen L, Deng Y, Cheong KH (2023) Permutation Jensen\u2013Shannon divergence for random permutation set. Eng Appl Artif Intell 119:105701","journal-title":"Eng Appl Artif Intell"},{"key":"8295_CR10","doi-asserted-by":"publisher","unstructured":"Chen L, Deng Y (2023) Entropy of random permutation set. Commun Stat\u2014Theory Methods. https:\/\/doi.org\/10.1080\/03610926.2023.2173975","DOI":"10.1080\/03610926.2023.2173975"},{"key":"8295_CR11","doi-asserted-by":"crossref","unstructured":"Cuzzolin F (2009) The intersection probability and its properties. In: Symbolic and quantitative approaches to reasoning with uncertainty: 10th European conference, ECSQARU 2009, Verona, Italy, July 1-3, 2009. Springer, pp 287\u2013298","DOI":"10.1007\/978-3-642-02906-6_26"},{"issue":"3","key":"8295_CR12","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1002\/int.20134","volume":"21","author":"M Daniel","year":"2006","unstructured":"Daniel M (2006) On transformations of belief functions to probabilities. Int J Intell Syst 21(3):261\u2013282","journal-title":"Int J Intell Syst"},{"key":"8295_CR13","doi-asserted-by":"crossref","unstructured":"Dempster AP (2008) Upper and lower probabilities induced by a multivalued mapping. In: Classic works of the Dempster\u2013Shafer theory of belief functions. Springer, pp 57\u201372","DOI":"10.1007\/978-3-540-44792-4_3"},{"key":"8295_CR14","doi-asserted-by":"crossref","unstructured":"Deng Y (2022) Random permutation set. Int J Comput Commun Control 17(1). https:\/\/doi.org\/10.15837\/ijccc.2022.1.4542","DOI":"10.15837\/ijccc.2022.1.4542"},{"issue":"21","key":"8295_CR15","doi-asserted-by":"crossref","first-page":"11265","DOI":"10.1007\/s00500-022-07351-x","volume":"26","author":"J Deng","year":"2022","unstructured":"Deng J, Deng Y (2022) Maximum entropy of random permutation set. Soft Comput 26(21):11265\u201311275","journal-title":"Soft Comput"},{"key":"8295_CR16","doi-asserted-by":"crossref","DOI":"10.1016\/j.knosys.2020.106427","volume":"208","author":"Z Deng","year":"2020","unstructured":"Deng Z, Wang J (2020) A novel decision probability transformation method based on belief interval. Knowl-Based Syst 208:106427","journal-title":"Knowl-Based Syst"},{"key":"8295_CR17","doi-asserted-by":"crossref","first-page":"619","DOI":"10.1016\/j.inffus.2022.08.030","volume":"89","author":"X Deng","year":"2023","unstructured":"Deng X, Xue S, Jiang W (2023) A novel quantum model of mass function for uncertain information fusion. Inf Fus 89:619\u2013631","journal-title":"Inf Fus"},{"key":"8295_CR18","unstructured":"Dezert J, Smarandache F (2008) A new probabilistic transformation of belief mass assignment. In: 2008 11th international conference on information fusion. IEEE, pp 1\u20138"},{"key":"8295_CR19","doi-asserted-by":"crossref","first-page":"256","DOI":"10.1016\/j.ins.2016.04.038","volume":"360","author":"L Dymova","year":"2016","unstructured":"Dymova L, Sevastjanov P (2016) The operations on interval-valued intuitionistic fuzzy values in the framework of Dempster\u2013Shafer theory. Inf Sci 360:256\u2013272","journal-title":"Inf Sci"},{"key":"8295_CR20","doi-asserted-by":"crossref","unstructured":"Fang R, Liao H (2021) A prospect theory-based evidential reasoning approach for multi-expert multi-criteria decision-making with uncertainty considering the psychological cognition of experts. Int J Fuzzy Syst 23:584\u2013598","DOI":"10.1007\/s40815-020-00967-x"},{"key":"8295_CR21","doi-asserted-by":"crossref","first-page":"226","DOI":"10.1016\/j.knosys.2018.10.039","volume":"164","author":"Q Gao","year":"2019","unstructured":"Gao Q, Dong-Ling X (2019) An empirical study on the application of the evidential reasoning rule to decision making in financial investment. Knowl-Based Syst 164:226\u2013234","journal-title":"Knowl-Based Syst"},{"issue":"3","key":"8295_CR22","doi-asserted-by":"crossref","first-page":"948","DOI":"10.1016\/j.net.2021.09.045","volume":"54","author":"X Gao","year":"2022","unstructured":"Gao X, Xiaoyan S, Qian H, Pan X (2022) Dependence assessment in human reliability analysis under uncertain and dynamic situations. Nucl Eng Technol 54(3):948\u2013958","journal-title":"Nucl Eng Technol"},{"issue":"1","key":"8295_CR23","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1109\/TSMC.2015.2421883","volume":"46","author":"D Han","year":"2015","unstructured":"Han D, Dezert J, Duan Z (2015) Evaluation of probability transformations of belief functions for decision making. IEEE Trans Syst, Man, Cybern: Syst 46(1):93\u2013108","journal-title":"IEEE Trans Syst, Man, Cybern: Syst"},{"key":"8295_CR24","doi-asserted-by":"crossref","unstructured":"Han D, Dezert J, Han C, Yang Y (2010) Is entropy enough to evaluate the probability transformation approach of belief function? In: 2010 13th international conference on information fusion, pp 1\u20137","DOI":"10.1109\/ICIF.2010.5711937"},{"issue":"8","key":"8295_CR25","doi-asserted-by":"crossref","first-page":"4210","DOI":"10.1002\/int.22456","volume":"36","author":"C Huang","year":"2021","unstructured":"Huang C, Mi X, Kang B (2021) Basic probability assignment to probability distribution function based on the Shapley value approach. Int J Intell Syst 36(8):4210\u20134236","journal-title":"Int J Intell Syst"},{"issue":"6","key":"8295_CR26","doi-asserted-by":"crossref","first-page":"1337","DOI":"10.1002\/int.22098","volume":"34","author":"W Jiang","year":"2019","unstructured":"Jiang W, Huang C, Deng X (2019) A new probability transformation method based on a correlation coefficient of belief functions. Int J Intell Syst 34(6):1337\u20131347","journal-title":"Int J Intell Syst"},{"issue":"9","key":"8295_CR27","doi-asserted-by":"crossref","first-page":"4187","DOI":"10.1007\/s00500-022-06896-1","volume":"26","author":"S Li","year":"2022","unstructured":"Li S, Cai R (2022) The generalized maximum belief entropy model. Soft Comput 26(9):4187\u20134198","journal-title":"Soft Comput"},{"issue":"12","key":"8295_CR28","doi-asserted-by":"crossref","first-page":"1812","DOI":"10.1109\/LSP.2019.2950588","volume":"26","author":"T Li","year":"2019","unstructured":"Li T, Liu Z, Pan Q (2019) Distributed Bernoulli filtering for target detection and tracking based on arithmetic average fusion. IEEE Signal Process Lett 26(12):1812\u20131816","journal-title":"IEEE Signal Process Lett"},{"issue":"02","key":"8295_CR29","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1142\/S0219622020500042","volume":"19","author":"P Liu","year":"2020","unstructured":"Liu P, Liu X, Ma G, Liang Z, Wang C, Alsaadi FE et al (2020) A multi-attribute group decision-making method based on linguistic intuitionistic fuzzy numbers and Dempster\u2013Shafer evidence theory. Int J Inf Technol Decis Making (IJITDM) 19(02):499\u2013524","journal-title":"Int J Inf Technol Decis Making (IJITDM)"},{"key":"8295_CR30","doi-asserted-by":"crossref","unstructured":"Liu Q, Cui H, Tian Y, Kang B (2020) On the negation of discrete z-numbers. Info Sci 537:18\u201329","DOI":"10.1016\/j.ins.2020.05.106"},{"issue":"9","key":"8295_CR31","doi-asserted-by":"crossref","first-page":"2270","DOI":"10.1109\/TFUZZ.2019.2930027","volume":"28","author":"Z Luo","year":"2020","unstructured":"Luo Z, Deng Y (2020) 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":"8295_CR32","doi-asserted-by":"crossref","unstructured":"Martin L, Sudano JJ (2006) Yet another paradigm illustrating evidence fusion (YAPIEF). In: 2006 9th international conference on information fusion. IEEE, pp 1\u20137","DOI":"10.1109\/ICIF.2006.301783"},{"key":"8295_CR33","doi-asserted-by":"crossref","unstructured":"Pan L, Deng Y (2020) Probability transform based on the ordered weighted averaging and entropy difference. Int J Comput Commun Control 15(4). https:\/\/doi.org\/10.15837\/ijccc.2020.4.3743","DOI":"10.15837\/ijccc.2020.4.3743"},{"key":"8295_CR34","doi-asserted-by":"crossref","unstructured":"Polpitiya LG, Premaratne K, Murthi MN, Murrell SJ, Sarkar D (2020) Efficient computation of conditionals in the Dempster-Shafer belief theoretic framework. IEEE Trans Cybern 52(5):2931\u20132941","DOI":"10.1109\/TCYB.2020.3017340"},{"issue":"10","key":"8295_CR35","doi-asserted-by":"crossref","first-page":"7615","DOI":"10.1007\/s00500-019-04389-2","volume":"24","author":"F Qiang","year":"2020","unstructured":"Qiang F, Song Y, Fan C, Lei L, Wang X (2020) Evidential model for intuitionistic fuzzy multi-attribute group decision making. Soft Comput 24(10):7615\u20137635","journal-title":"Soft Comput"},{"key":"8295_CR36","doi-asserted-by":"crossref","first-page":"15179","DOI":"10.1007\/s00500-020-05298-5","volume":"24","author":"J Qiao","year":"2020","unstructured":"Qiao J, Zhang J, Wang Y (2020) An improved multi-sensor D-S rule for conflict reassignment of failure rate of set. Soft Comput 24:15179\u201315188","journal-title":"Soft Comput"},{"key":"8295_CR37","doi-asserted-by":"crossref","unstructured":"Shafer G (1976) A Mathematical Theory of Evidence, vol 42. Princeton University Press","DOI":"10.1515\/9780691214696"},{"issue":"1","key":"8295_CR38","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1080\/03081079.2019.1658756","volume":"49","author":"PP Shenoy","year":"2020","unstructured":"Shenoy PP (2020) An expectation operator for belief functions in the Dempster-Shafer theory. Int J Gen Syst 49(1):112\u2013141","journal-title":"Int J Gen Syst"},{"issue":"2","key":"8295_CR39","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/0004-3702(94)90026-4","volume":"66","author":"P Smets","year":"1994","unstructured":"Smets P, Kennes R (1994) The transferable belief model. Artif intell 66(2):191\u2013234","journal-title":"Artif intell"},{"issue":"6","key":"8295_CR40","doi-asserted-by":"crossref","first-page":"1248","DOI":"10.1002\/int.22094","volume":"34","author":"A Srivastava","year":"2019","unstructured":"Srivastava A, Kaur L (2019) Uncertainty and negation-information theoretic applications. Int J Intell Syst 34(6):1248\u20131260","journal-title":"Int J Intell Syst"},{"issue":"6","key":"8295_CR41","doi-asserted-by":"crossref","first-page":"1133","DOI":"10.1002\/int.21882","volume":"33","author":"A Srivastava","year":"2018","unstructured":"Srivastava A, Maheshwari S (2018) Some new properties of negation of a probability distribution. Int J Intell Syst 33(6):1133\u20131145","journal-title":"Int J Intell Syst"},{"key":"8295_CR42","unstructured":"Sudano JJ (2015) Pignistic probability transforms for mixes of low-and high-probability events. arXiv preprint arXiv:1505.07751 2015"},{"key":"8295_CR43","doi-asserted-by":"crossref","first-page":"7123","DOI":"10.1007\/s00500-022-07160-2","volume":"26","author":"Y Wang","year":"2022","unstructured":"Wang Y, Wang J, Huang M, Wang M (2022) An evidence combination rule based on new weight assignment scheme. Soft Comput 26:7123\u20137137","journal-title":"Soft Comput"},{"key":"8295_CR44","doi-asserted-by":"crossref","unstructured":"Wang H, Fang Y-P, Zio E (2019) Risk assessment of an electrical power system considering the influence of traffic congestion on a hypothetical scenario of electrified transportation system in New York state. IEEE Trans Intell Trans Syst 22(1):142\u2013155","DOI":"10.1109\/TITS.2019.2955359"},{"key":"8295_CR45","doi-asserted-by":"crossref","unstructured":"Xiao F (2022) Generalized quantum evidence theory. Appl Intell. https:\/\/doi.org\/10.1007\/s10489-022-04181-0","DOI":"10.1007\/s10489-022-04181-0"},{"key":"8295_CR46","doi-asserted-by":"crossref","unstructured":"Xiao F (2023) GEJS: a generalized evidential divergence measure for multisource information fusion. IEEE Trans Syst Man Cybern: Syst 53(4):2246\u20132258. https:\/\/doi.org\/10.1109\/TSMC.2022.3211498","DOI":"10.1109\/TSMC.2022.3211498"},{"issue":"10","key":"8295_CR47","doi-asserted-by":"crossref","first-page":"3266","DOI":"10.1007\/s10489-019-01617-y","volume":"50","author":"F Xiao","year":"2019","unstructured":"Xiao F (2019) Generalization of Dempster\u2013Shafer theory: a complex mass function. Appl Intell 50(10):3266\u20133275","journal-title":"Appl Intell"},{"issue":"11","key":"8295_CR48","doi-asserted-by":"crossref","first-page":"3259","DOI":"10.1109\/TFUZZ.2020.3016723","volume":"29","author":"F Xiao","year":"2021","unstructured":"Xiao F (2021) On the maximum entropy negation of a complex-valued distribution. IEEE Trans Fuzzy Syst 29(11):3259\u20133269","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"8","key":"8295_CR49","doi-asserted-by":"crossref","first-page":"7402","DOI":"10.1109\/TCYB.2020.3040770","volume":"52","author":"F Xiao","year":"2022","unstructured":"Xiao F (2022) CEQD: a complex mass function to predict interference effects. IEEE Trans Cybern 52(8):7402\u20137414","journal-title":"IEEE Trans Cybern"},{"issue":"2","key":"8295_CR50","doi-asserted-by":"crossref","first-page":"2054","DOI":"10.1109\/TPAMI.2022.3167045","volume":"45","author":"F Xiao","year":"2022","unstructured":"Xiao F, Pedrycz W (2022) Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Trans Pattern Anal Mach Intell 45(2):2054\u20132070","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"1","key":"8295_CR51","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1109\/TFUZZ.2020.3002431","volume":"29","author":"F Xiao","year":"2020","unstructured":"Xiao F, Cao Z, Jolfaei A (2020) A novel conflict measurement in decision making and its application in fault diagnosis. IEEE Trans Fuzzy Syst 29(1):186\u2013197","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"8295_CR52","doi-asserted-by":"crossref","unstructured":"Xiao F, Cao Z, Lin C-T (2022) A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Trans Knowl Data Eng 1\u201316","DOI":"10.1109\/TKDE.2022.3206871"},{"key":"8295_CR53","doi-asserted-by":"publisher","unstructured":"Xiao F, Wen J, Pedrycz W (2022) Generalized divergence-based decision making method with an application to pattern classification. IEEE Trans Knowl Data Eng. https:\/\/doi.org\/10.1109\/TKDE.2022.3177896","DOI":"10.1109\/TKDE.2022.3177896"},{"key":"8295_CR54","doi-asserted-by":"crossref","first-page":"408","DOI":"10.1016\/j.ins.2021.08.088","volume":"580","author":"L Xiong","year":"2021","unstructured":"Xiong L, Xiaoyan S, Qian H (2021) Conflicting evidence combination from the perspective of networks. Inf Sci 580:408\u2013418","journal-title":"Inf Sci"},{"issue":"5","key":"8295_CR55","doi-asserted-by":"crossref","first-page":"1899","DOI":"10.1109\/TFUZZ.2014.2374211","volume":"23","author":"RR Yager","year":"2014","unstructured":"Yager RR (2014) On the maximum entropy negation of a probability distribution. IEEE Trans Fuzzy Syst 23(5):1899\u20131902","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"8295_CR56","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1016\/j.knosys.2014.12.031","volume":"80","author":"RR Yager","year":"2015","unstructured":"Yager RR, Alajlan N (2015) Dempster-Shafer belief structures for decision making under uncertainty. Knowl-Based Syst 80:58\u201366","journal-title":"Knowl-Based Syst"},{"key":"8295_CR57","doi-asserted-by":"crossref","first-page":"761","DOI":"10.1016\/j.ins.2019.03.074","volume":"501","author":"RR Yager","year":"2019","unstructured":"Yager RR, Alajlan N, Bazi Y (2019) Uncertain database retrieval with measure-based belief function attribute values. Inf Sci 501:761\u2013770","journal-title":"Inf Sci"},{"issue":"1","key":"8295_CR58","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1002\/int.22198","volume":"35","author":"J Zhang","year":"2020","unstructured":"Zhang J, Liu R, Zhang J, Kang B (2020) Extension of Vager\u2019s negation of a probability distribution based on Tsallis entropy. Int J Intell Syst 35(1):72\u201384","journal-title":"Int J Intell Syst"},{"key":"8295_CR59","doi-asserted-by":"crossref","first-page":"11449","DOI":"10.1007\/s00500-021-06040-5","volume":"25","author":"K Zhao","year":"2021","unstructured":"Zhao K, Sun R, Li L, Hou M, Yuan G, Sun R (2021a) An optimal evidential data fusion algorithm based on the new divergence measure of basic probability assignment. Soft Comput 25:11449\u201311457","journal-title":"Soft Comput"},{"key":"8295_CR60","doi-asserted-by":"crossref","unstructured":"Zhao K, Sun R, Li L, H M, Yuan G, Sun R (2021b) An improved evidence fusion algorithm in multi-sensor systems. Appl Intell 51(11):7614\u20137624. https:\/\/doi.org\/10.1007\/s10489-021-02279-5","DOI":"10.1007\/s10489-021-02279-5"},{"key":"8295_CR61","volume":"213","author":"K Zhao","year":"2023","unstructured":"Zhao K, Chen Z, Li L, Li J, Sun R, Yuan G (2023) Dpt: an importance-based decision probability transformation method for uncertain belief in evidence theory. Expert Syst Appl 213:119197","journal-title":"Expert Syst Appl"},{"key":"8295_CR62","doi-asserted-by":"crossref","DOI":"10.1016\/j.knosys.2019.105110","volume":"189","author":"M Zhou","year":"2020","unstructured":"Zhou M, Liu X-B, Chen Y-W, Qian X-F, Yang J-B, Jian W (2020) Assignment of attribute weights with belief distributions for MADM under uncertainties. Knowl-Based Syst 189:105110","journal-title":"Knowl-Based Syst"},{"key":"8295_CR63","doi-asserted-by":"crossref","first-page":"536","DOI":"10.1016\/j.ins.2022.08.112","volume":"612","author":"L Zhou","year":"2022","unstructured":"Zhou L, Cui H, Mi X, Zhang J, Kang B (2022) A novel conflict management considering the optimal discounting weights using the BWM method in Dempster\u2013Shafer evidence theory. Inf Sci 612:536\u2013552","journal-title":"Inf Sci"},{"key":"8295_CR64","doi-asserted-by":"crossref","unstructured":"Zhou Q, Boss\u00e9 \u00c9, Deng Y (2023) Modeling belief propensity degree: measures of evenness and diversity of belief functions. IEEE Trans Syst Man Cybern: Syst 53(5):2851\u20132862. https:\/\/doi.org\/10.1109\/TSMC.2022.3219996","DOI":"10.1109\/TSMC.2022.3219996"},{"issue":"4","key":"8295_CR65","first-page":"618","volume":"28","author":"Yu Zhun-ga Liu","year":"2019","unstructured":"Zhun-ga Liu Yu, Liu JD, Cuzzolin F (2019) Evidence combination based on credal belief redistribution for pattern classification. IEEE Trans Fuzzy Syst 28(4):618\u2013631","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"4","key":"8295_CR66","doi-asserted-by":"crossref","first-page":"3711","DOI":"10.3233\/JIFS-18290","volume":"36","author":"L Zuo","year":"2019","unstructured":"Zuo L, Xiahou T, Liu Yu (2019) Reliability assessment of systems subject to interval-valued probabilistic common cause failure by evidential networks. J Intell Fuzzy Syst 36(4):3711\u20133723","journal-title":"J Intell Fuzzy Syst"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-023-08295-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-023-08295-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-023-08295-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,20]],"date-time":"2024-10-20T23:28:17Z","timestamp":1729466897000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-023-08295-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5,23]]},"references-count":66,"journal-issue":{"issue":"20","published-print":{"date-parts":[[2023,10]]}},"alternative-id":["8295"],"URL":"https:\/\/doi.org\/10.1007\/s00500-023-08295-6","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,5,23]]},"assertion":[{"value":"17 April 2023","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 May 2023","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have not disclosed any competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}