{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T16:02:29Z","timestamp":1740153749721,"version":"3.37.3"},"reference-count":68,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2021,9,2]],"date-time":"2021-09-02T00:00:00Z","timestamp":1630540800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,9,2]],"date-time":"2021-09-02T00:00:00Z","timestamp":1630540800000},"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":["61673285, 11671284"],"award-info":[{"award-number":["61673285, 11671284"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Sichuan Science and Technology Program of China","award":["2021YJ0085, 2019YJ0529"],"award-info":[{"award-number":["2021YJ0085, 2019YJ0529"]}]},{"name":"A Joint Research Project of Laurent Mathematics Center of Sichuan Normal University and National-Local Joint Engineering Laboratory of System Credibility Automatic Verification"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cogn Comput"],"published-print":{"date-parts":[[2021,11]]},"DOI":"10.1007\/s12559-021-09921-x","type":"journal-article","created":{"date-parts":[[2021,9,3]],"date-time":"2021-09-03T18:23:57Z","timestamp":1630693437000},"page":"1530-1555","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Classification-level and Class-level Complement Information Measures Based on Neighborhood Decision Systems"],"prefix":"10.1007","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5135-5958","authenticated-orcid":false,"given":"Xianyong","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yunrui","family":"Fan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shuai","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lingyu","family":"Tang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhiying","family":"Lv","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,9,2]]},"reference":[{"key":"9921_CR1","doi-asserted-by":"crossref","unstructured":"Acharjya DP, Abraham A. Rough computing \u2013 A review of abstraction, hybridization and extent of applications. Eng Appl Artif Intell.\u00a02020;96:103924.","DOI":"10.1016\/j.engappai.2020.103924"},{"issue":"2","key":"9921_CR2","doi-asserted-by":"publisher","first-page":"704","DOI":"10.1016\/j.ejor.2016.12.048","volume":"261","author":"N Azam","year":"2017","unstructured":"Azam N, Zhang Y, Yao JT. Evaluation functions and decision conditions of three-way decisions with game-theoretic rough sets. Eur J Oper Res. 2017;261(2):704\u201314.","journal-title":"Eur J Oper Res"},{"key":"9921_CR3","doi-asserted-by":"crossref","unstructured":"Bianucci D, Cattaneo G. Information entropy and granulation co-entropy of partitions and coverings: A summary. In: Peters JF, Skowron A, Wolski M, Chakraborty MK, Wu WZ (eds) Transactions on Rough Sets X. Lecture Notes in Computer Science. 2009; 5656:15\u201366.","DOI":"10.1007\/978-3-642-03281-3_2"},{"issue":"7","key":"9921_CR4","doi-asserted-by":"publisher","first-page":"979","DOI":"10.1016\/j.ijar.2009.02.011","volume":"50","author":"J Blaszczynski","year":"2009","unstructured":"Blaszczynski J, Greco S, Slowinski R, Szelg M. Monotonic variable consistency rough set approaches. Int J Approx Reason. 2009;50(7):979\u201399.","journal-title":"Int J Approx Reason"},{"key":"9921_CR5","doi-asserted-by":"publisher","first-page":"105607","DOI":"10.1016\/j.asoc.2019.105607","volume":"83","author":"K Borowska","year":"2019","unstructured":"Borowska K, Stepaniuk J. A rough-granular approach to the imbalanced data classification problem. Appl Soft Comput. 2019;83:105607.","journal-title":"Appl Soft Comput."},{"key":"9921_CR6","doi-asserted-by":"publisher","first-page":"112","DOI":"10.1016\/j.is.2018.01.010","volume":"78","author":"D Calvanese","year":"2018","unstructured":"Calvanese D, Dumas M, Laurson U, Maggi FM, Montali MI. Teinemaa, Semantics, analysis and simplification of DMN decision tables. Inf Syst. 2018;78:112\u201325.","journal-title":"Inf Syst"},{"key":"9921_CR7","doi-asserted-by":"crossref","unstructured":"Campagner A, Ciucci D. Measuring uncertainty in orthopairs. In: Antonucci A, Cholvy L, Papini O (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2017). Lecture Notes in Computer Science. 2017;10369:423\u2013432.","DOI":"10.1007\/978-3-319-61581-3_38"},{"key":"9921_CR8","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1016\/j.knosys.2019.05.018","volume":"180","author":"A Campagner","year":"2019","unstructured":"Campagner A, Ciucci D. Orthopartitions and soft clustering: Soft mutual information measures for clustering validation. Knowl-Based Syst. 2019;180:51\u201361.","journal-title":"Knowl-Based Syst"},{"key":"9921_CR9","doi-asserted-by":"crossref","unstructured":"Campagner A, Ciucci D, Hullermeier E. Feature reduction in superset learning using rough sets and evidence theory. In: Information Processing and Management of Uncertainty in Knowledge-Based Systems. 2020. pp. 471\u2013484.","DOI":"10.1007\/978-3-030-50146-4_35"},{"issue":"4","key":"9921_CR10","doi-asserted-by":"publisher","first-page":"2188","DOI":"10.1109\/TFUZZ.2017.2768322","volume":"26","author":"DB Chakraborty","year":"2018","unstructured":"Chakraborty DB, Pal SK. Neighborhood rough filter and intuitionistic entropy in unsupervised tracking. IEEE Trans Fuzzy Syst. 2018;26(4):2188\u2013200.","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"9921_CR11","doi-asserted-by":"publisher","first-page":"268","DOI":"10.1016\/j.knosys.2018.11.032","volume":"165","author":"YM Chen","year":"2019","unstructured":"Chen YM, Qin N, Li W, Xu FF. Granule structures, distances and measures in neighborhood systems. Knowl-Based Syst. 2019;165:268\u201381.","journal-title":"Knowl-Based Syst"},{"key":"9921_CR12","doi-asserted-by":"publisher","first-page":"226","DOI":"10.1016\/j.knosys.2017.01.008","volume":"120","author":"YM Chen","year":"2017","unstructured":"Chen YM, Xue Y, Ma Y, Xu FF. Measures of uncertainty for neighborhood rough sets. Knowl-Based Syst. 2017;120:226\u201335.","journal-title":"Knowl-Based Syst"},{"key":"9921_CR13","doi-asserted-by":"publisher","first-page":"942","DOI":"10.1016\/j.asoc.2015.10.059","volume":"38","author":"YM Chen","year":"2016","unstructured":"Chen YM, Zeng ZQ, Zhu QX, Tang CH. Three-way decision reduction in neighborhood systems. Appl Soft Comput. 2016;38:942\u201354.","journal-title":"Appl Soft Comput"},{"key":"9921_CR14","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1016\/j.knosys.2017.09.009","volume":"136","author":"JH Dai","year":"2017","unstructured":"Dai JH, Wei BJ, Zhang XH, Zhang QL. Uncertainty measurement for incomplete interval-valued information systems based on a-weak similarity. Knowl-Based Syst. 2017;136:159\u201371.","journal-title":"Knowl-Based Syst"},{"key":"9921_CR15","unstructured":"Dua D, Graff C. UCI Machine Learning Repository [http:\/\/archive.ics.uci.edu\/ml]. School of Information and Computer Science, University of California. Irvine, CA, 2019."},{"issue":"3","key":"9921_CR16","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1016\/j.eij.2016.01.001","volume":"17","author":"MM Eissa","year":"2016","unstructured":"Eissa MM, Elmogy M, Hashem M. Rough-Granular Computing knowledge discovery models for medical classification. Egypt Inform J. 2016;17(3):265\u201372.","journal-title":"Egypt Inform J"},{"key":"9921_CR17","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1016\/j.knosys.2018.03.015","volume":"151","author":"XD Fan","year":"2018","unstructured":"Fan XD, Zhao WD, Wang CZ, Huang Y. Attribute reduction based on max-decision neighborhood rough set model. Knowl-Based Syst. 2018;151:16\u201323.","journal-title":"Knowl-Based Syst"},{"key":"9921_CR18","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1016\/j.ijar.2018.10.014","volume":"104","author":"C Gao","year":"2019","unstructured":"Gao C, Lai ZH, Zhou J, Wen JJ, Wong WK. Granular maximum decision entropy-based monotonic uncertainty measure for attribute reduction. Int J Approx Reason. 2019;104:9\u201324.","journal-title":"Int J Approx Reason"},{"key":"9921_CR19","doi-asserted-by":"publisher","first-page":"92","DOI":"10.1016\/j.knosys.2018.11.022","volume":"165","author":"MJ Hu","year":"2019","unstructured":"Hu MJ, Yao YY. Structured approximations as a basis for three-way decisions in rough set theory. Knowl-Based Syst. 2019;165:92\u2013109.","journal-title":"Knowl-Based Syst"},{"key":"9921_CR20","doi-asserted-by":"crossref","unstructured":"Hu QH, Pedrycz W, Yu DR, Lang J. Selecting discrete and continuous features based on neighborhood decision error minimization. IEEE Trans Syst Man Cybern B Cybern. 2010;40(1):137\u2013150.","DOI":"10.1109\/TSMCB.2009.2024166"},{"key":"9921_CR21","doi-asserted-by":"crossref","unstructured":"Hu QH, Yu DR. Neighborhood entropy. Proceedings of the Eighth International Conference on Machine Learning and Cybernetics. IEEE. 2009;1776\u20131782.","DOI":"10.1109\/ICMLC.2009.5212245"},{"key":"9921_CR22","doi-asserted-by":"crossref","unstructured":"Hu QH, Zhang L, Zhang D, Pan W, An S, Pedrycz W. Measuring relevance between discrete and continuous features based on neighborhood mutual information. Expert Systems with Applications. 2011;38(9):10737\u201310750.","DOI":"10.1016\/j.eswa.2011.01.023"},{"key":"9921_CR23","first-page":"487","volume":"348","author":"B Huang","year":"2019","unstructured":"Huang B, Li HX, Feng GF, Zhou XZ. Dominance-based rough sets in multi-scale intuitionistic fuzzy decision tables. Appl Math Comput. 2019;348:487\u2013512.","journal-title":"Appl Math Comput"},{"issue":"7","key":"9921_CR24","doi-asserted-by":"publisher","first-page":"2151","DOI":"10.1016\/j.patcog.2015.01.023","volume":"48","author":"F Jiang","year":"2015","unstructured":"Jiang F, Sui YF, Zhou L. A relative decision entropy-based feature selection approach. Pattern Recognit. 2015;48(7):2151\u201363.","journal-title":"Pattern Recognit"},{"issue":"11","key":"9921_CR25","doi-asserted-by":"publisher","first-page":"3239","DOI":"10.1007\/s00521-016-2236-5","volume":"28","author":"SU Kumar","year":"2017","unstructured":"Kumar SU, Inbarani HH. PSO-based feature selection and neighborhood rough set based classification for BCI multiclass motor imagery task. Neural Comput Applic. 2017;28(11):3239\u201358.","journal-title":"Neural Comput Applic"},{"issue":"1","key":"9921_CR26","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1142\/S0218488504002631","volume":"12","author":"JY Liang","year":"2004","unstructured":"Liang JY, Shi ZZ. The information entropy, rough entropy and knowledge granulation in rough set theory. Int J Uncertainty Fuzziness Knowledge Based Syst. 2004;12(1):37\u201346.","journal-title":"Int J Uncertainty Fuzziness Knowledge Based Syst"},{"issue":"6","key":"9921_CR27","doi-asserted-by":"publisher","first-page":"641","DOI":"10.1080\/03081070600687668","volume":"35","author":"JY Liang","year":"2006","unstructured":"Liang JY, Shi ZZ, Li DY, Wierman MJ. Information entropy rough entropy and knowledge granulation in incomplete information systems. Int J Gen Syst. 2006;35(6):641\u201354.","journal-title":"Int J Gen Syst"},{"issue":"4","key":"9921_CR28","doi-asserted-by":"publisher","first-page":"458","DOI":"10.1016\/j.ins.2008.10.010","volume":"179","author":"JY Liang","year":"2009","unstructured":"Liang JY, Wang JH, Qian YH. A new measure of uncertainty based on knowledge granulation for rough sets[J]. Inf Sci. 2009;179(4):458\u201370.","journal-title":"Inf Sci"},{"key":"9921_CR29","doi-asserted-by":"publisher","first-page":"244","DOI":"10.1016\/j.asoc.2015.10.009","volume":"38","author":"YJ Lin","year":"2016","unstructured":"Lin YJ, Hu QH, Liu JH, Chen JK, Duan J. Multi-label feature selection based on neighborhood mutual information. Appl Soft Comput. 2016;38:244\u201356.","journal-title":"Appl Soft Comput"},{"key":"9921_CR30","doi-asserted-by":"publisher","first-page":"140","DOI":"10.1016\/j.chemolab.2016.07.009","volume":"157","author":"Y Liu","year":"2016","unstructured":"Liu Y, Xie H, Chen YH, Tan KZ, Wang LG, Xie W. Neighborhood mutual information and its application on hyperspectral band selection for classification. Chemom Intell Lab Syst. 2016;157:140\u201351.","journal-title":"Chemom Intell Lab Syst"},{"key":"9921_CR31","doi-asserted-by":"publisher","first-page":"989","DOI":"10.1007\/s13042-020-01095-6","volume":"11","author":"D Liu","year":"2020","unstructured":"Liu D, Yang X, Li TR. Three-way decisions: beyond rough sets and granular computing. Int J Mach Learn Cybern. 2020;11:989\u20131002.","journal-title":"Int J Mach Learn Cybern"},{"key":"9921_CR32","doi-asserted-by":"publisher","first-page":"433","DOI":"10.1007\/s13042-020-01179-3","volume":"12","author":"XA Ma","year":"2021","unstructured":"Ma XA. Fuzzy entropies for class-specific and classification-based attribute reducts in three-way probabilistic rough set models. Int J Mach Learn Cybern. 2021;12:433\u201357.","journal-title":"Int J Mach Learn Cybern"},{"issue":"2","key":"9921_CR33","doi-asserted-by":"publisher","first-page":"433","DOI":"10.1109\/TCBB.2014.2361329","volume":"1\u20132","author":"J Meng","year":"2015","unstructured":"Meng J, Zhang J, Luan YS. Gene selection integrated with biological knowledge for plant stress response using neighborhood system and rough set theory. IEEE\/ACM Trans Comput Biol Bioinform. 2015;1\u20132(2):433\u201344.","journal-title":"IEEE\/ACM Trans Comput Biol Bioinform"},{"key":"9921_CR34","volume-title":"Rough set theory and its application in machine learning","author":"DQ Miao","year":"1997","unstructured":"Miao DQ. Rough set theory and its application in machine learning. Beijing: Institute of Automation, The Chinese Academy of Sciences; 1997."},{"issue":"24","key":"9921_CR35","doi-asserted-by":"publisher","first-page":"4140","DOI":"10.1016\/j.ins.2009.08.020","volume":"179","author":"DQ Miao","year":"2009","unstructured":"Miao DQ, Zhao Y, Yao YY, Li HX, Xu FF. Relative reducts in consistent and inconsistent decision tables of the Pawlak rough set model. Inform Sci. 2009;179(24):4140\u201350.","journal-title":"Inform Sci"},{"issue":"7","key":"9921_CR36","doi-asserted-by":"publisher","first-page":"657","DOI":"10.3390\/e21070657","volume":"21","author":"TP Mu","year":"2019","unstructured":"Mu TP, Zhang XY, Mo ZW. Double-granules conditional-entropies based on three-level granular structures. Entropy. 2019;21(7):657.","journal-title":"Entropy"},{"key":"9921_CR37","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-3534-4","volume-title":"Rough Sets: Theoretical Aspects of Reasoning about Data","author":"Z Pawlak","year":"1991","unstructured":"Pawlak Z. Rough Sets: Theoretical Aspects of Reasoning about Data. Dordrecht: Kluwer Academic Publishers; 1991."},{"key":"9921_CR38","doi-asserted-by":"publisher","first-page":"204","DOI":"10.1016\/j.asoc.2016.04.043","volume":"46","author":"RK Shiraz","year":"2016","unstructured":"Shiraz RK, Fukuyama H, Tavana M, Caprio DD. An integrated data envelopment analysis and free disposal hull framework for cost-efficiency measurement using rough sets. Appl Soft Comput. 2016;46:204\u201319.","journal-title":"Appl Soft Comput"},{"issue":"1","key":"9921_CR39","doi-asserted-by":"publisher","first-page":"20","DOI":"10.1016\/j.ins.2011.08.001","volume":"184","author":"A Skowron","year":"2012","unstructured":"Skowron A, Stepaniuk J, Swiniarski R. Modeling rough granular computing based on approximation spaces. Inform Sci. 2012;184(1):20\u201343.","journal-title":"Inform Sci"},{"key":"9921_CR40","first-page":"365","volume":"53","author":"D Slezak","year":"2020","unstructured":"Slezak D. Approximate entropy reducts. Fund Inform. 2020;53:365\u201390.","journal-title":"Fund Inform"},{"issue":"1","key":"9921_CR41","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1109\/TFUZZ.2020.2989098","volume":"29","author":"L Sun","year":"2021","unstructured":"Sun L, Wang LY, Ding WP, Qian YH, Xu JC. Feature selection using fuzzy neighborhood entropy-based uncertainty measures for fuzzy neighborhood multigranulation rough sets. IEEE Trans Fuzzy Syst. 2021;29(1):19\u201333.","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"8","key":"9921_CR42","doi-asserted-by":"publisher","first-page":"872","DOI":"10.1080\/03081079.2020.1806833","volume":"49","author":"LY Tang","year":"2020","unstructured":"Tang LY, Zhang XY, Mo ZW. A weighted complement-entropy system based on tri-level granular structures. Int J Gen Syst. 2020;49(8):872\u2013905.","journal-title":"Int J Gen Syst"},{"key":"9921_CR43","doi-asserted-by":"publisher","first-page":"308","DOI":"10.1016\/j.eswa.2019.06.071","volume":"137","author":"NN Thuy","year":"2019","unstructured":"Thuy NN, Wongthanavasu S. On reduction of attributes in inconsistent decision tables based on information entropies and stripped quotient sets. Expert Systems with Applications. 2019;137:308\u201323.","journal-title":"Expert Systems with Applications."},{"key":"9921_CR44","doi-asserted-by":"publisher","first-page":"68","DOI":"10.1016\/j.ins.2020.11.021","volume":"549","author":"CZ Wang","year":"2021","unstructured":"Wang CZ, Huang Y, Ding WP, Cao ZH. Attribute reduction with fuzzy rough self-information measures. Inform Sci. 2021;549:68\u201386.","journal-title":"Inform Sci"},{"issue":"9","key":"9921_CR45","doi-asserted-by":"publisher","first-page":"4031","DOI":"10.1109\/TCYB.2019.2923430","volume":"50","author":"CZ Wang","year":"2020","unstructured":"Wang CZ, Huang Y, Shao MW, Hu QH, Chen DG. Feature selection based on neighborhood self-information. IEEE Trans Cybern. 2020;50(9):4031\u201342.","journal-title":"IEEE Trans Cybern"},{"key":"9921_CR46","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1016\/j.ijar.2015.01.005","volume":"59","author":"GY Wang","year":"2015","unstructured":"Wang GY, Ma XA, Yu H. Monotonic uncertainty measures for attribute reduction in probabilistic rough set model. Int J Approx Reason. 2015;59:41\u201367.","journal-title":"Int J Approx Reason"},{"issue":"3","key":"9921_CR47","first-page":"289","volume":"68","author":"GY Wang","year":"2005","unstructured":"Wang GY, Zhao J, An JJ, Wu Y. A comparative study of algebra viewpoint and information viewpoint in attribute reduction. Fund Inform. 2005;68(3):289\u2013301.","journal-title":"Fund Inform"},{"key":"9921_CR48","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1016\/j.knosys.2018.04.023","volume":"153","author":"Q Wang","year":"2018","unstructured":"Wang Q, Qian YH, Liang XY, Guo Q, Liang JY. Local neighborhood rough set. Knowl-Based Syst. 2018;153:53\u201364.","journal-title":"Knowl-Based Syst"},{"issue":"3","key":"9921_CR49","first-page":"273","volume":"166","author":"ZH Wang","year":"2019","unstructured":"Wang ZH, Yue HF, Deng JP. An uncertainty measure based on lower and upper approximations for generalized rough set models. Fund Inform. 2019;166(3):273\u201396.","journal-title":"Fund Inform"},{"key":"9921_CR50","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1016\/j.ijar.2020.04.003","volume":"122","author":"L Yang","year":"2020","unstructured":"Yang L, Xu WH, Zhang XY, Sang BB. Multi-granulation method for information fusion in multi-source decision information system. Int J Approx Reason. 2020;122:47\u201365.","journal-title":"Int J Approx Reason"},{"issue":"1","key":"9921_CR51","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1109\/TFUZZ.2014.2360548","volume":"23","author":"JT Yao","year":"2015","unstructured":"Yao JT, Azam N. Web-based medical decision support systems for three-way medical decision making with game-theoretic rough sets. IEEE Trans Fuzzy Syst. 2015;23(1):3\u201315.","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"6","key":"9921_CR52","doi-asserted-by":"publisher","first-page":"1977","DOI":"10.1109\/TSMCC.2012.2236648","volume":"43","author":"JT Yao","year":"2013","unstructured":"Yao JT, Vasilakos AV, Pedrycz W. Granular computing: perspectives and challenges. IEEE Trans Cybern. 2013;43(6):1977\u201389.","journal-title":"IEEE Trans Cybern"},{"key":"9921_CR53","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1016\/j.ijar.2018.09.005","volume":"103","author":"YY Yao","year":"2018","unstructured":"Yao YY. Three-way decision and granular computing. Int J Approx Reason. 2018;103:107\u201323.","journal-title":"Int J Approx Reason"},{"key":"9921_CR54","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1016\/j.ijar.2019.11.002","volume":"116","author":"YY Yao","year":"2020","unstructured":"Yao YY. Three-way granular computing, rough sets, and formal concept analysis. Int J Approx Reason. 2020;116:106\u201325.","journal-title":"Int J Approx Reason"},{"key":"9921_CR55","doi-asserted-by":"publisher","first-page":"947","DOI":"10.1007\/s13042-019-01040-2","volume":"11","author":"YY Yao","year":"2020","unstructured":"Yao YY. Tri-level thinking: Models of three-way decision. Int J Mach Learn Cybern. 2020;11:947\u201359.","journal-title":"Int J Mach Learn Cybern"},{"key":"9921_CR56","doi-asserted-by":"publisher","first-page":"601","DOI":"10.1016\/j.ins.2017.08.038","volume":"418\u2013419","author":"YY Yao","year":"2017","unstructured":"Yao YY, Zhang XY. Class-specific attribute reducts in rough set theory. Inform Sci. 2017;418\u2013419:601\u201318.","journal-title":"Inform Sci"},{"key":"9921_CR57","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1016\/j.eswa.2018.06.013","volume":"112","author":"Z Yuan","year":"2018","unstructured":"Yuan Z, Zhang XY, Feng S. Hybrid data-driven outlier detection based on neighborhood information entropy and its developmental measures. Expert Systems with Applications. 2018;112:243\u201357.","journal-title":"Expert Systems with Applications."},{"key":"9921_CR58","doi-asserted-by":"publisher","first-page":"795","DOI":"10.1016\/j.ins.2018.07.065","volume":"507","author":"XD Yue","year":"2020","unstructured":"Yue XD, Chen YF, Miao DQ, Fujita H. Fuzzy neighborhood covering for three-way classification. Inform Sci. 2020;507:795\u2013808.","journal-title":"Inform Sci"},{"issue":"2","key":"9921_CR59","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1016\/S0165-0114(97)00077-8","volume":"90","author":"LA Zadeh","year":"1997","unstructured":"Zadeh LA. Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets Syst. 1997;90(2):111\u201327.","journal-title":"Fuzzy Sets Syst"},{"key":"9921_CR60","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1016\/j.ins.2020.03.013","volume":"523","author":"QH Zhang","year":"2020","unstructured":"Zhang QH, Zhao F, Yang J, Wang GY. Three-way decisions of rough vague sets from the perspective of fuzziness. Inform Sci. 2020;523:111\u201332.","journal-title":"Inform Sci"},{"key":"9921_CR61","doi-asserted-by":"publisher","first-page":"106799","DOI":"10.1016\/j.knosys.2021.106799","volume":"217","author":"XY Zhang","year":"2021","unstructured":"Zhang XY, Gou HY, Lv ZY, Miao DQ. Double-quantitative distance measurement and classification learning based on the tri-level granular structure of neighborhood system. Knowl-Based Systems. 2021;217:106799.","journal-title":"Knowl-Based Systems"},{"key":"9921_CR62","doi-asserted-by":"publisher","first-page":"174","DOI":"10.1016\/j.ins.2015.11.037","volume":"334\u2013335","author":"XY Zhang","year":"2016","unstructured":"Zhang XY, Miao DQ. Quantitative\/qualitative region-change uncertainty\/certainty in attribute reduction: Comparative region-change analyses based on granular computing. Inform Sci. 2016;334\u2013335:174\u2013204.","journal-title":"Inform Sci"},{"key":"9921_CR63","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1016\/j.ins.2017.05.032","volume":"412\u2013413","author":"XY Zhang","year":"2017","unstructured":"Zhang XY, Miao DQ. Three-layer granular structures and three-way informational measures of a decision table. Inform Sci. 2017;412\u2013413:67\u201386.","journal-title":"Inform Sci"},{"key":"9921_CR64","doi-asserted-by":"publisher","first-page":"196","DOI":"10.1016\/j.ins.2021.01.080","volume":"563","author":"XY Zhang","year":"2021","unstructured":"Zhang XY, Yao H, Lv ZY, Miao DQ. Class-specific information measures and attribute reducts for hierarchy and systematicness. Inform Sci. 2021;563:196\u2013225.","journal-title":"Inform Sci"},{"key":"9921_CR65","doi-asserted-by":"publisher","first-page":"540","DOI":"10.1016\/j.ins.2018.07.058","volume":"507","author":"Y Zhang","year":"2020","unstructured":"Zhang Y, Yao JT. Game theoretic approach to shadowed sets: A three-way tradeoff perspective. Inform Sci. 2020;507:540\u201352.","journal-title":"Inform Sci"},{"key":"9921_CR66","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1016\/j.ins.2015.05.023","volume":"319","author":"YL Zhang","year":"2015","unstructured":"Zhang YL, Li CQ, Lin ML, Lin YJ. Relationships between generalized rough sets based on covering and reflexive neighborhood system. Inform Sci. 2015;319:56\u201367.","journal-title":"Inform Sci"},{"key":"9921_CR67","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1016\/j.knosys.2015.05.021","volume":"86","author":"TT Zheng","year":"2015","unstructured":"Zheng TT, Zhu LY. Uncertainty measures of neighborhood system-based rough sets. Knowl-Based Syst. 2015;86:57\u201365.","journal-title":"Knowl-Based Syst"},{"issue":"4","key":"9921_CR68","doi-asserted-by":"publisher","first-page":"528","DOI":"10.1016\/j.ijar.2011.12.004","volume":"53","author":"P Zhu","year":"2012","unstructured":"Zhu P, Wen QY. Entropy and co-entropy of a covering approximation space. Int J Approx Reason. 2012;53(4):528\u201340.","journal-title":"Int J Approx Reason"}],"container-title":["Cognitive Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12559-021-09921-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12559-021-09921-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12559-021-09921-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,6]],"date-time":"2023-02-06T03:07:27Z","timestamp":1675652847000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12559-021-09921-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,9,2]]},"references-count":68,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2021,11]]}},"alternative-id":["9921"],"URL":"https:\/\/doi.org\/10.1007\/s12559-021-09921-x","relation":{},"ISSN":["1866-9956","1866-9964"],"issn-type":[{"type":"print","value":"1866-9956"},{"type":"electronic","value":"1866-9964"}],"subject":[],"published":{"date-parts":[[2021,9,2]]},"assertion":[{"value":"18 November 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 July 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 September 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of Interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical Approval"}}]}}