Multiple Granulation Knowledge Acquisition under β-Dominance Relation in Incomplete Ordered Information System
DOI:
https://doi.org/10.15837/ijccc.2026.4.7210Keywords:
Multiple granulation rough set, β-dominance relation, Incomplete ordered information system, Approximation qualityAbstract
Given that the expanded dominance relation is overly lenient while the limited dominance relation is excessively strict, this paper proposes a new β-dominance relation in incomplete ordered information system, and on this basis, constructs both an optimistic multiple granulation rough set model and a pessimistic multiple granulation rough set model. Subsequently, the paper elaborates in detail on the accuracy measures and approximation qualities of these two multiple granulation rough set models, along with their corresponding algorithms. Finally, through experimental analysis of data from the University of California, Irvine data warehouse, it is confirmed that the proposed multiple granulation rough set models exhibit outstanding performance in both knowledge acquisition and fault tolerance capability.
References
Pawlak,Z.(1982). Rough sets, International Journal of Computer and Information Sciences, 11(5),341-356,1982. https://doi.org/10.1007/BF01001956
Huang, Z.H.; Li, J.J.; Qian, Y.H.(2022). Noise-tolerant Fuzzy-β-covering-based Multi-granulation Rough Sets and Feature Subset Selection, IEEE Transactions on Fuzzy Systems, 30(7), 2721- 2735,2022. https://doi.org/10.1109/TFUZZ.2021.3093202
Liu, J.Z.; Qu, Q.L.; Yang, H.Y.; et al.(2024). Deep Learning-based Intelligent Fault Diagnosis for Power Distribution Networks, International Journal of Computers Communications & Control, 19(4), 6607,2024. https://doi.org/10.15837/ijccc.2024.4.6607
Ghosh, SK.; Ghosh, A.; Bhattacharyya, S.(2022). Recognition of cancer mediating biomarkers using rough approximations enabled intuitionistic fuzzy soft sets based similarity measure, Applied Soft Computing, 124,109052,2022. https://doi.org/10.1016/j.asoc.2022.109052
Wang, J.; Ai, X.; Fu, L.(2024). Multi-Granularity Neighborhood Fuzzy Rough Set Model on Two Universes, Journal of Intelligent Learning Systems and Applications,16(2),91-106,2024. https://doi.org/10.4236/jilsa.2024.162007
Greco, S.; Matarazzo, B.; Slowinski, R.(1999). Rough Approximation of a Preference Relation by Dominance Relations, European Journal of Operational Research,117(1),63-83,1999. https://doi.org/10.1016/S0377-2217(98)00127-1
Wang, W.J.; Zhan, J.M.; Zhang, C.(2021). Three-way Decisions Based Multi-attribute Decision Making with Probabilistic Dominance Relations, Information Sciences,(559),75-96,2021. https://doi.org/10.1016/j.ins.2021.01.028
Liu, H.M.; Weng, S.Z.(2024). A Multi-attribute Decision-making Method for Interval Rough Number Considering Distribution Types, International Journal of Computers Communications & Control, 19(4), 6633,2024. https://doi.org/10.15837/ijccc.2024.4.6633
Li, Z.W.; Luo, D.M.; Yu, G.J.(2023). Reduction in a fuzzy probability information system based on incomplete set-valued data, Journal of Intelligent and Fuzzy Systems ,45,3749-3765,2023. https://doi.org/10.3233/JIFS-230865
Kryszkiewicz, M.(1998). Rough set approach to incomplete information systems, Information Sciences, 112, 39-49,1998. https://doi.org/10.1016/S0020-0255(98)10019-1
Shao, M.W.; Zhang, W.X.(2005). Dominance relation and rules in an incomplete ordered information system, International Journal of Intelligent Systems, 20, 13-27,2005. https://doi.org/10.1002/int.20051
Luo, G.Z.; Yang, X.B.(2010). Limited dominance-based rough set model and knowledge reductions in incomplete decision system, Journal of Information Science and Engineering, 26, 2199- 2211,2010.
Wang, W.J.; Zhan, J.M.; Zhang, C.; et al.(2023). A regret-theory-based three-way decision method with a priori probability tolerance dominance relation in fuzzy incomplete information systems, Information Fusion, 89, 382-396,2023. https://doi.org/10.1016/j.inffus.2022.08.027
Mondal, A.; Roy, S.K.; Pamucar, D.(2023). Regret-based three-way decision making with possibility dominance and SPA theory in incomplete information system, Expert Systems with Applications, 211, 118688,2023. https://doi.org/10.1016/j.eswa.2022.118688
Li, Z.; Mi, J.S.; Li, L.J.(2025). A three-way decision model in incomplete ordered information systems with fuzzy pre-decision, Information Sciences, 698,121754,2025. https://doi.org/10.1016/j.ins.2024.121754
Qian, Y.H.; Liang, J.Y.; Yao, Y.Y.; et al.(2010). MGRS: A Multi-Granulation Rough Set, Information Sciences, 180(6),949-970,2010. https://doi.org/10.1016/j.ins.2009.11.023
Zhang, H.D.; Zhan, J.M.; He, Y.P.(2019). Multi-granulation hesitant fuzzy rough sets and corresponding applications, Soft Computing, 23(1),13085-13103,2019. https://doi.org/10.1007/s00500-019-03853-3
Zhan, J.M.; Zhang, X.H.; Yao, Y.Y.(2020). Covering-based Multi-granulation Fuzzy Rough Sets and Corresponding Applications, Artificial Intelligence Review, 53(2), 1093-1126,2020. https://doi.org/10.1007/s10462-019-09690-y
Xu, W,H.; Yuan, K.; Li, W.(2022). Dynamic updating approximations of local generalized multigranulation neighborhood rough set, Applied Intelligence, 52(8),9148-9173,2022. https://doi.org/10.1007/s10489-021-02861-x
Li, W.T.; Xu, W.H.; Zhang, X.Y.; et al.(2022). Updating approximations with dynamic objects based on local multigranulation rough sets in ordered information system, Artificial Intelligence Review, 55,1821-1855,2022. https://doi.org/10.1007/s10462-021-10053-9
Yang, X.B.; Song, X. N.; Chen, Z. H.; et al.(2012). On multi-granulation rough sets in incomplete information system, International Journal of Machine Learning and Cybernetics,3(3),223- 232,2012. https://doi.org/10.1007/s13042-011-0054-8
Zhai, Y.J.; Zhang, H.(2012). Dominance-based Multigranulation Rough Sets in incomplete information system, Journal of Nanjing University of Science and Technology, 36(1),66-72,2012.
Chen, J.; Zhu, P.A.(2023). variable precision multigranulation rough set model and attribute reduction, Soft computing: A fusion of foundations, methodologies and applications, 27(1),85- 106,2023. https://doi.org/10.1007/s00500-022-07566-y
Hu, Z.Y.; Shao, M.W.; Wu, W.Z.; et al.(2023). Knowledge acquisition of multi-granularity ordered information systems, Applied Soft Computing, 146,110674,2023. https://doi.org/10.1016/j.asoc.2023.110674
Xu, W.H.; Cai K.; Wang D.D.(2024). A novel information fusion method using improved entropy measure in multi-source incomplete interval-valued datasets, International Journal of Approximate Reasoning, 164,109081, 2024. https://doi.org/10.1016/j.ijar.2023.109081
Xue, Z.A.; Zhang, M.; Zhao, L.P.; et al.(2021). Variable three-way decision model of multigranularity decision rough set under set pair dominance relation, Computer Science, 48(1),157- 166,2021.
Kang, Y.; Dai, J.H.(2023). Attribute reduction in inconsistent grey decision systems based on variable precision grey multigranulation rough set model, Applied Soft Computing, 133,109928,2023. https://doi.org/10.1016/j.asoc.2022.109928
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