{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,15]],"date-time":"2025-08-15T00:31:08Z","timestamp":1755217868659,"version":"3.43.0"},"publisher-location":"Cham","reference-count":37,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031927461"},{"type":"electronic","value":"9783031927478"}],"license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025]]},"DOI":"10.1007\/978-3-031-92747-8_7","type":"book-chapter","created":{"date-parts":[[2025,5,11]],"date-time":"2025-05-11T16:14:12Z","timestamp":1746980052000},"page":"105-132","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Optimal Scale Selections of\u00a0Inconsistent Generalized Multi-scale Ordered Decision Information Systems with\u00a0Multi-scale Decision Attributes Based on\u00a0the\u00a0Set-Valued Dominance Matrix"],"prefix":"10.1007","author":[{"given":"Liang","family":"Zhao","sequence":"first","affiliation":[]},{"given":"Banghe","family":"Han","sequence":"additional","affiliation":[]},{"given":"Biao","family":"Huang","sequence":"additional","affiliation":[]},{"given":"Jia","family":"Luo","sequence":"additional","affiliation":[]},{"given":"Yuan","family":"Li","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,5,12]]},"reference":[{"key":"7_CR1","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2023.119603","volume":"218","author":"M Akram","year":"2023","unstructured":"Akram, M., Nawaz, H.S., Kahraman, C.: Rough pythagorean fuzzy approximations with neighborhood systems and information granulation. Expert Syst. Appl. 218, 119603 (2023). https:\/\/doi.org\/10.1016\/j.eswa.2023.119603","journal-title":"Expert Syst. Appl."},{"issue":"5","key":"7_CR2","doi-asserted-by":"publisher","first-page":"1427","DOI":"10.1007\/s13042-020-01243-y","volume":"12","author":"H Bao","year":"2021","unstructured":"Bao, H., Wu, W.Z., Zheng, J.W., et al.: Entropy based optimal scale combination selection for generalized multi-scale information tables. Int. J. Mach. Learn. Cybern. 12(5), 1427\u20131437 (2021). https:\/\/doi.org\/10.1007\/s13042-020-01243-y","journal-title":"Int. J. Mach. Learn. Cybern."},{"key":"7_CR3","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2024.109305","volume":"176","author":"MK Chakraborty","year":"2025","unstructured":"Chakraborty, M.K., Majumder, S., Kar, S.: Rough sets, modal logic and approximate reasoning. Int. J. Approx. Reason. 176, 109305 (2025). https:\/\/doi.org\/10.1016\/j.ijar.2024.109305","journal-title":"Int. J. Approx. Reason."},{"issue":"3","key":"7_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.3390\/math7030290","volume":"7","author":"YS Chen","year":"2019","unstructured":"Chen, Y.S., Li, J.J., Huang, J.X.: Matrix method for the optimal scale selection of multi-scale information decision systems. Math 7(3), 1\u201317 (2019). https:\/\/doi.org\/10.3390\/math7030290","journal-title":"Math"},{"issue":"1","key":"7_CR5","doi-asserted-by":"publisher","first-page":"423","DOI":"10.3233\/JIFS-17178","volume":"34","author":"ZW Dai","year":"2018","unstructured":"Dai, Z.W., Liao, B.S.: Dominance-based fuzzy rough set approach for incomplete interval-valued data. J. Intell. Fuzzy Syst. 34(1), 423\u2013436 (2018). https:\/\/doi.org\/10.3233\/JIFS-17178","journal-title":"J. Intell. Fuzzy Syst."},{"key":"7_CR6","doi-asserted-by":"publisher","first-page":"318","DOI":"10.1007\/11908029_34","volume":"4259","author":"K Dembczynski","year":"2006","unstructured":"Dembczynski, K., Greco, S., Kotlowski, W., et al.: Quality of rough approximation in multi-criteria classification problems. Rough Sets Curr. Trends Comput. 4259, 318\u2013327 (2006). https:\/\/doi.org\/10.1007\/11908029_34","journal-title":"Rough Sets Curr. Trends Comput."},{"key":"7_CR7","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2025.112712","volume":"171","author":"W Ding","year":"2025","unstructured":"Ding, W., Alcantud, J., Zhan, J., et al.: Dominance relation-based feature selection for interval-valued multi-label ordered information system. Expert Syst. Appl. 171, 112712 (2025). https:\/\/doi.org\/10.1016\/j.asoc.2025.112712","journal-title":"Expert Syst. Appl."},{"key":"7_CR8","doi-asserted-by":"publisher","first-page":"300","DOI":"10.1016\/j.ins.2022.03.029","volume":"597","author":"JL Duan","year":"2022","unstructured":"Duan, J.L., Wang, G.Y., Hu, X., et al.: Hierarchical quotient space-based concept cognition for knowledge graphs. Inf. Sci. 597, 300\u2013317 (2022). https:\/\/doi.org\/10.1016\/j.ins.2022.03.029","journal-title":"Inf. Sci."},{"issue":"1","key":"7_CR9","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1016\/S0377-2217(98)00127-1","volume":"117","author":"S Greco","year":"1999","unstructured":"Greco, S., Matarazzo, B., Slowinski, R.: Rough approximation of a preference relation by dominance relations. Eur. J. Oper. Res. 117(1), 63\u201383 (1999). https:\/\/doi.org\/10.1016\/S0377-2217(98)00127-1","journal-title":"Eur. J. Oper. Res."},{"issue":"5","key":"7_CR10","doi-asserted-by":"publisher","first-page":"477","DOI":"10.1007\/s13042-012-0115-7","volume":"4","author":"SM Gu","year":"2013","unstructured":"Gu, S.M., Wu, W.Z.: On knowledge acquisition in multi-scale decision systems. Int. J. Mach. Learn. Cybern. 4(5), 477\u2013486 (2013). https:\/\/doi.org\/10.1007\/s13042-012-0115-7","journal-title":"Int. J. Mach. Learn. Cybern."},{"key":"7_CR11","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2023.110674","volume":"146","author":"Z Hu","year":"2023","unstructured":"Hu, Z., Shao, M., Wu, W., et al.: Knowledge acquisition of multi-granularity ordered information systems. Appl. Soft Comput. 146, 110674 (2023). https:\/\/doi.org\/10.1016\/j.asoc.2023.110674","journal-title":"Appl. Soft Comput."},{"issue":"12\u201313","key":"7_CR12","doi-asserted-by":"publisher","first-page":"7128","DOI":"10.1016\/j.apm.2012.12.009","volume":"37","author":"B Huang","year":"2013","unstructured":"Huang, B., Zhuang, Y.L., Li, H.X., et al.: A dominance intuitionistic fuzzy-rough set approach and its applications. Appl. Math. Model. 37(12\u201313), 7128\u20137141 (2013). https:\/\/doi.org\/10.1016\/j.apm.2012.12.009","journal-title":"Appl. Math. Model."},{"key":"7_CR13","doi-asserted-by":"publisher","first-page":"194","DOI":"10.1016\/j.ijar.2019.09.010","volume":"115","author":"ZH Huang","year":"2019","unstructured":"Huang, Z.H., Li, J.J., Dai, W.Z., et al.: Generalized multi-scale decision tables with multi-scale decision attributes. Int. J. Approx. Reason. 115, 194\u2013208 (2019). https:\/\/doi.org\/10.1016\/j.ijar.2019.09.010","journal-title":"Int. J. Approx. Reason."},{"key":"7_CR14","doi-asserted-by":"publisher","first-page":"507","DOI":"10.1007\/s00500-009-0450-0","volume":"14","author":"Y Kusunoki","year":"2010","unstructured":"Kusunoki, Y., Inuiguchi, M.: A unified approach to reducts in dominance-based rough set approach. Soft. Comput. 14, 507\u2013515 (2010). https:\/\/doi.org\/10.1007\/s00500-009-0450-0","journal-title":"Soft. Comput."},{"key":"7_CR15","doi-asserted-by":"publisher","first-page":"160","DOI":"10.1016\/j.ijar.2022.10.014","volume":"152","author":"GM Lang","year":"2023","unstructured":"Lang, G.M., Yao, Y.Y.: Formal concept analysis perspectives on three-way conflict analysis. Int. J. Approx. Reason. 152, 160\u2013182 (2023). https:\/\/doi.org\/10.1016\/j.ijar.2022.10.014","journal-title":"Int. J. Approx. Reason."},{"key":"7_CR16","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1016\/j.ins.2016.11.016","volume":"381","author":"F Li","year":"2017","unstructured":"Li, F., Hu, B.Q.: A new approach of optimal scale selection to multi-scale decision tables. Inf. Sci. 381, 193\u2013208 (2017). https:\/\/doi.org\/10.1016\/j.ins.2016.11.016","journal-title":"Inf. Sci."},{"key":"7_CR17","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2024.121754","volume":"698","author":"Z Li","year":"2025","unstructured":"Li, Z., Mi, J.S., Li, L.J.: A three-way decision model in incomplete ordered information systems with fuzzy pre-decision. Inf. Sci. 698, 121754 (2025). https:\/\/doi.org\/10.1016\/j.ins.2024.121754","journal-title":"Inf. Sci."},{"key":"7_CR18","doi-asserted-by":"publisher","first-page":"340","DOI":"10.1016\/j.ijcce.2023.09.004","volume":"4","author":"D Liu","year":"2023","unstructured":"Liu, D., Shangguan, X., Wei, K., et al.: Research on the standardization strategy of granular computing. Int. J. Cogn. Comput. Eng. 4, 340\u2013348 (2023). https:\/\/doi.org\/10.1016\/j.ijcce.2023.09.004","journal-title":"Int. J. Cogn. Comput. Eng."},{"issue":"5","key":"7_CR19","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1007\/BF01001956","volume":"11","author":"Z Pawlak","year":"1982","unstructured":"Pawlak, Z.: Rough sets. Int. J. Comput. Inf. Sci. 11(5), 341\u2013356 (1982). https:\/\/doi.org\/10.1007\/BF01001956","journal-title":"Int. J. Comput. Inf. Sci."},{"issue":"1\u20134","key":"7_CR20","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0020-0255(02)00197-4","volume":"147","author":"Z Pawlak","year":"2002","unstructured":"Pawlak, Z.: Rough sets and intelligent data analysis. Inf. Sci. 147(1\u20134), 1\u201312 (2002). https:\/\/doi.org\/10.1016\/S0020-0255(02)00197-4","journal-title":"Inf. Sci."},{"key":"7_CR21","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1016\/S0020-7373(88)80032-4","volume":"29","author":"Z Pawlak","year":"1988","unstructured":"Pawlak, Z., Wong, S., Ziarko, W.: Rough sets: probabilistic versus deterministic approach. Int. J. Man Comput. Stud. 29, 81\u201395 (1988). https:\/\/doi.org\/10.1016\/S0020-7373(88)80032-4","journal-title":"Int. J. Man Comput. Stud."},{"key":"7_CR22","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2025.126898","volume":"274","author":"Y Qin","year":"2025","unstructured":"Qin, Y., Lin, G., Lin, Y., et al.: Knowledge enhanced data analytics based on three-way decision and granular computing. Appl. Soft Comput. 274, 126898 (2025). https:\/\/doi.org\/10.1016\/j.eswa.2025.126898","journal-title":"Appl. Soft Comput."},{"issue":"2","key":"7_CR23","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1002\/int.10014","volume":"17","author":"G Salvatore","year":"2002","unstructured":"Salvatore, G., et al.: Rough approximation by dominance relations. Int. J. Intell. Syst. 17(2), 153\u2013171 (2002). https:\/\/doi.org\/10.1002\/int.10014","journal-title":"Int. J. Intell. Syst."},{"key":"7_CR24","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2024.109268","volume":"173","author":"L Suo","year":"2024","unstructured":"Suo, L., Yang, H., Li, Q., et al.: A review of three-way decision: triadic understanding, organization, and perspectives. Int. J. Approx. Reason. 173, 109268 (2024). https:\/\/doi.org\/10.1016\/j.ijar.2024.109268","journal-title":"Int. J. Approx. Reason."},{"issue":"18","key":"7_CR25","doi-asserted-by":"publisher","first-page":"3878","DOI":"10.1016\/j.ins.2011.04.047","volume":"181","author":"WZ Wu","year":"2011","unstructured":"Wu, W.Z., Leung, Y.: Theory and applications of granular labelled partitions in multi-scale decision tables. Inf. Sci. 181(18), 3878\u20133897 (2011). https:\/\/doi.org\/10.1016\/j.ins.2011.04.047","journal-title":"Inf. Sci."},{"issue":"8","key":"7_CR26","doi-asserted-by":"publisher","first-page":"1107","DOI":"10.1016\/j.ijar.2013.03.017","volume":"54","author":"WZ Wu","year":"2013","unstructured":"Wu, W.Z., Leung, Y.: Optimal scale selection for multi-scale decision tables. Int. J. Approx. Reason. 54(8), 1107\u20131129 (2013). https:\/\/doi.org\/10.1016\/j.ijar.2013.03.017","journal-title":"Int. J. Approx. Reason."},{"issue":"12","key":"7_CR27","doi-asserted-by":"publisher","first-page":"961","DOI":"10.1007\/s13042-019-00954-1","volume":"11","author":"WZ Wu","year":"2020","unstructured":"Wu, W.Z., Leung, Y.: A comparison study of optimal scale combination selection in generalized multi-scale decision tables. Int. J. Mach. Learn. Cybern. 11(12), 961\u2013972 (2020). https:\/\/doi.org\/10.1007\/s13042-019-00954-1","journal-title":"Int. J. Mach. Learn. Cybern."},{"key":"7_CR28","doi-asserted-by":"publisher","first-page":"282","DOI":"10.1016\/j.ins.2016.03.041","volume":"378","author":"WZ Wu","year":"2017","unstructured":"Wu, W.Z., Qian, Y.H., Li, T.J., et al.: On rule acquisition in incomplete multi-scale decision tables. Inf. Sci. 378, 282\u2013302 (2017). https:\/\/doi.org\/10.1016\/j.ins.2016.03.041","journal-title":"Inf. Sci."},{"key":"7_CR29","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1016\/j.ijar.2022.12.004","volume":"154","author":"WZ Wu","year":"2023","unstructured":"Wu, W.Z., Niu, D., Li, J., et al.: Rule acquisition in generalized multi-scale information systems with multi-scale decisions. Int. J. Approx. Reason. 154, 56\u201371 (2023). https:\/\/doi.org\/10.1016\/j.ijar.2022.12.004","journal-title":"Int. J. Approx. Reason."},{"key":"7_CR30","doi-asserted-by":"publisher","unstructured":"Zheng, J.W., Wu, W.Z., Bao, H., Tan, A.H.: Optimal scale selection and rule acquisition in inconsistent generalized decision multi-scale ordered information systems. Comput. Sci. 50(6), 1\u201315 (2023). https:\/\/doi.org\/10.11896\/jsjkx.220800149","DOI":"10.11896\/jsjkx.220800149"},{"key":"7_CR31","doi-asserted-by":"publisher","unstructured":"Yao, Y.Y.: Information granulation and rough set approximation. Int. J. Intell. Syst. 16, 87\u2013104 (2001). https:\/\/doi.org\/10.1002\/1098-111X(200101)16:1<87::AID-INT7>3.0.CO;2-S","DOI":"10.1002\/1098-111X(200101)16:1<87::AID-INT7>3.0.CO;2-S"},{"issue":"3","key":"7_CR32","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1016\/j.ins.2009.09.021","volume":"180","author":"YY Yao","year":"2010","unstructured":"Yao, Y.Y.: Three-way decisions with probabilistic rough sets. Inf. Sci. 180(3), 341\u2013353 (2010). https:\/\/doi.org\/10.1016\/j.ins.2009.09.021","journal-title":"Inf. Sci."},{"key":"7_CR33","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1016\/j.ijar.2019.11.002","volume":"116","author":"YY Yao","year":"2020","unstructured":"Yao, Y.Y.: Three-way granular computing, rough sets, and formal concept analysis. Int. J. Approx. Reason. 116, 106\u2013125 (2020). https:\/\/doi.org\/10.1016\/j.ijar.2019.11.002","journal-title":"Int. J. Approx. Reason."},{"key":"7_CR34","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1016\/j.ijar.2021.11.012","volume":"142","author":"YY Yao","year":"2022","unstructured":"Yao, Y.Y., Yang, J.L.: Granular rough sets and granular shadowed sets: three-way approximations in pawlak approximation spaces. Int. J. Approx. Reason. 142, 231\u2013247 (2022). https:\/\/doi.org\/10.1016\/j.ijar.2021.11.012","journal-title":"Int. J. Approx. Reason."},{"key":"7_CR35","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.ijar.2023.109003","volume":"161","author":"YY Yao","year":"2023","unstructured":"Yao, Y.Y., Yang, J.L.: Granular fuzzy sets and three-way approximations of fuzzy sets. Int. J. Approx. Reason. 161, 1\u201316 (2023). https:\/\/doi.org\/10.1016\/j.ijar.2023.109003","journal-title":"Int. J. Approx. Reason."},{"key":"7_CR36","doi-asserted-by":"publisher","unstructured":"Zhang, J., Wu, W., Yang, Y.: Knowledge acquisition of consistent generalized decision multi-scale ordered information systems. Pattern Recognit. Artif. Intell. 35(9), 789\u2013804 (2022). https:\/\/doi.org\/10.16451\/j.cnki.issn1003-6059.202209003","DOI":"10.16451\/j.cnki.issn1003-6059.202209003"},{"issue":"8","key":"7_CR37","doi-asserted-by":"publisher","first-page":"3675","DOI":"10.1109\/TNNLS.2021.3054063","volume":"33","author":"QH Zhang","year":"2022","unstructured":"Zhang, Q.H., Cheng, Y.L., Zhao, F., et al.: Optimal scale combination selection integrating three-way decision with hasse diagram. IEEE Trans. Neural Netw. Learn. Syst. 33(8), 3675\u20133689 (2022). https:\/\/doi.org\/10.1109\/TNNLS.2021.3054063","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."}],"container-title":["Lecture Notes in Computer Science","Rough Sets"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-92747-8_7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,5]],"date-time":"2025-08-05T20:41:26Z","timestamp":1754426486000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-92747-8_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"ISBN":["9783031927461","9783031927478"],"references-count":37,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-92747-8_7","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2025]]},"assertion":[{"value":"12 May 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"IJCRS","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Joint Conference on Rough Sets","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Chongqing","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"China","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2025","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"11 May 2025","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"13 May 2025","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"ijcrs2025","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/ijcrs2025.cqupt.edu.cn","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}