Abstract

With the fast developments of three-way decisions (3WD), this paper systematically summarizes the development track and evolution process of 3WD in recent

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Keywords

3wd threeway decisions

Cite this article

Dun Liu,Tianrui Li,Xin Yang,.Three-way decisions: beyond rough sets and granular computing. 11 (5),989-1002.

Dun Liu,Tianrui Li,Xin Yang,"Three-way decisions: beyond rough sets and granular computing" 11

Dun Liu,Tianrui Li,Xin Yang,"Three-way decisions: beyond rough sets and granular computing"

References

Liu D, Li TR, Liang DC (2014) Incorporating logistic regression to decision-theoretic rough sets for classifications. Int J Approx Reason 55:197–210

Jia XY, Shan L, Zhou ZZ, Liang JY, Miao DQ, Wang GY, Li TR, Zhang YP (2012) The method and theory of three-way decisions. Nanjing University Press, Nanjing

Yu H, Wang GY, Li TR, Liang JY, Miao DQ, Yao YY (2015) Three-way decisions: method and practices for complex problem solving. Science Press, Beijing

Yao YY (2016) A triarchic theory of granular computing. Granul Comput 1:145–157

Qian YH, Zhang H, Sang YL, Liang JY (2014) Multigranulation decision-theoretic rough sets. Int J Approx Reason 55:225–237

Yao YY (2020) Three-way granular computing, rough sets, and formal concept analysis. Int J Approx Reason 116:106–125

Liu D, Li TR, Miao DQ, Wang GY, Liang JY (2013) Three-way decisions and granular computing. Science Press, Beijing

Li HX, Zhang LB, Zhou XZ, Huang B (2017) Cost-sensitive sequential three-way decision modeling using a deep neural network. Int J Approx Reason 85:68–78

Liu S, Liu XW, Qin JD (2018) Three-way group decisions based on prospect theory. J Oper Res Soc 69:25–35

Yao YY, She YH (2016) Rough set models in multigranulation spaces. Inf Sci 327:40–56

Pawlak Z, Skowron A (1994) Rough membership functions. In: Advances in the Dempster-Shafer theory of evidence. Wiley, New York, pp 251–271

Zhang HR, Min F, Shi B (2017) Regression-based three-way recommendation. Inf Sci 378:444–461

Hu BQ (2014) Three-way decisions space and three-way decisions. Inf Sci 281:21–52

Liu D, Ye XQ (2020) A matrix factorization based dynamic granularity recommendation with three-way decisions. Knowl-Based Syst. https://doi.org/10.1016/j.knosys.2019.105243

Hao C, Li JH, Min F, Liu WQ, Tsang ECC (2017) Optimal scale selection in dynamic multi-scale decision tables based on sequential three-way decisions. Inf Sci 415:213–232

Qian YH, Liang JY, Yao YY, Dang CY (2010) MGRS: a multigranulation rough set. Inf Sci 180:949–970

Qi JJ, Qian T, Wei L (2016) The connections between three-way and classical concept lattices. Knowl-Based Syst 91:143–151

Sun BZ, Ma WM, Xiao X (2017) Three-way group decision making based on multigranulation fuzzy decision-theoretic rough set over two universes. Int J Approx Reason 81:87–102

Zhang HR, Min F (2016) Three-way recommender systems based on random forests. Knowl-Based Syst 91:275–286

Qian J, Dang CY, Yue XD, Zhang N (2017) Attribute reduction for sequential three-way decisions under dynamic granulation. Int J Approx Reason 85:196–216

Liu D, Liang DC (2017) Three-way decisions in ordered decision system. Knowl-Based Syst 137:182–195

Li HX, Zhou XZ, Li TR, Wang GY, Miao DQ, Yao YY (2011) Decision-theoretic rough sets and it’s research progress. Science Press, Beijing

Pawlak Z (1982) Rough sets. Int J Comput Inf Sci 11:341–356

Li XN, She YH, Sun BZ (2017) Generalized matroids based on three-way decision models. Int J Approx Reason 90:192–207

Min F, He HP, Qian YH, Zhu W (2011) Test-cost-sensitive attribute reduction. Inf Sci 181:4928–4942

Nauman M, Azam N, Yao JT (2016) A three-way decision making approach to malware analysis using probabilistic rough sets. Inf Sci 374:193–209

Yang X, Li TR, Liu D, Hamido F (2019) A temporal-spatial composite sequential approach of three-way granular computing. Inf Sci 486:171–189

Yao YY, Wong SKM (1992) A decision theoretic framework for approximating concepts. Int J Man Mach Stud 37:793–809

Huang CC, Li JH, Mei CL, Wu WZ (2017) Three-way concept learning based on cognitive operators: an information fusion viewpoint. Int J Approx Reason 83:218–242

Yao YY (2013) Granular computing and sequential three-way decisions. In: Proceedings of the 7th international conference on rough sets and knowledge technology, LNAI 8171, pp 16–27

Liu D, Li TR, Ruan D (2011) Probabilistic model criteria with decision-theoretic rough sets. Inf Sci 181:3709–3722

She YH, Wang W, He XL, Du Y, Liu YY (2019) A three-valued logic approach to partially known formal concepts. J Intell Fuzzy Syst 37:3053–3064

Li HX, Zhang LB, Huang B, Zhou XZ (2016) Sequential three-way decision and granulation for cost-sensitive face recognition. Knowl-Based Syst 91:241–251

Deng XF, Yao YY (2014) Decision-theoretic three-way approximations of fuzzy sets. Inf Sci 279:702–715

Jia XY, Shang L, Zhou B, Yao YY (2016) Generalized attribute reduct in rough set theory. Knowl-Based Syst 91:204–218

Liu D, Li TR, Yang X, Liang DC (2019) Three-way decisions: the perspective of rough sets and granular computing. CAAI Trans Intell Syst 14:1111–1120

Zhi HL, Li JH (2016) Granule description based on formal concept analysis. Knowl-Based Syst 104:62–73

Ciucci D, Dubois D (2013) A map of dependencies among three-valued logics. Inf Sci 250:162–177

Li JH, Huang CC, Qi JJ, Qian YH, Liu WQ (2017) Three-way cognitive concept learning via multi-granularity. Inf Sci 378:244–263

Liu D, Liang DC, Wang CC (2016) A novel three-way decision model based on incomplete information system. Knowl-Based Syst 91:16–31

Yang X, Li TR, Liu D, Chen HM, Luo C (2017) A unified framework of dynamic three-way probabilistic rough sets. Inf Sci 420:126–147

Yao YY (2016) Three-way decisions and cognitive computing. Cognit Comput 8:543–554

Yao YY (2018) Three-way decision and granular computing. Int J Approx Reason 103:107–123

Zhang Y, Yao JT (2017) Gini objective functions for three-way classifications. Int J Approx Reason 81:103–114

Yao YY (2012) An outline of a theory of three-way decisions. In: Proceedings of the 6th international conference on rough sets and knowledge technology, LNAI 7414, pp 1–16

Ma XA, Wang GY, Yu H, Li TR (2014) Decision region distribution preservation reduction in decision-theoretic rough set model. Inf Sci 278:614–640

Liang DC, Liu D (2015) Deriving three-way decisions from intuitionistic fuzzy decision-theoretic rough sets. Inf Sci 300:28–48

Yao YY (2019) Tri-level thinking: models of three-way decision. Int J Mach Learn Cybern. https://doi.org/10.1007/s13042-019-01040-2

Azam N, Yao JT (2014) Analyzing uncertainties of probabilistic rough set regions with game-theoretic rough sets. Int J Approx Reason 55:142–155

Yao YY (2019) Three-way conflict analysis: reformulations and extensions of the Pawlak model. Knowl-Based Syst 180:26–37

Qi JJ, Wei L, Yao YY (2019) Three-way concept analysis and decisions. Science Press, Beijing

Yao YY (2010) Three-way decisions with probabilistic rough sets. Inf Sci 180:341–353

Wan Q, Li JH, Wei L, Qian T (2020) Optimal granule level selection: a granule description accuracy viewpoint. Int J Approx Reason 116:85–105

Liang JY, Yao YY, Li DY (2019) Multi-granularity computing and three-way decisions. Science Press, Beijing

Ren RS, Wei L (2016) The attribute reductions of three-way concept lattices. Knowl-Based Syst 99:92–102

Jia XY, Liao WH, Tang ZM, Shang L (2012) Minimum cost attribute reduction in decision-theoretic rough set models. Inf Sci 219:151–167

Zhao S, Sun X, Chen J, Duan Z, Zhang YP, Zhang YW (2020) Relational granulation method based on quotient space theory for maximum flow problem. Inf Sci 507:472–484

Liu D, Liang DC (2017) Generalized three-way decisions and special three-way decisions. J Front Comput Sci Technol 11:502–510

Liu D, Li TR, Liang DC (2014) Three-way decisions in stochastic decision-theoretic rough sets. LNCS Trans Rough Sets 18:110–130

Yang X, Li TR, Hamido F, Liu D (2019) A sequential three-way approach to multi-class decision. Int J Approx Reason 104:108–125

Zhang YP, Yao YY, Miao DQ, Wang GY, Liang JY, Li TR, Wu WZ, Zhao S (2016) Review and development of granular computing, quotient space and three-way decisions. Science Press, Beijing

Wang PX, Yao YY (2018) CE3: A three-way clustering method based on mathematical morphology. Knowl-Based Syst 155:54–65

Yang X, Li TR, Hamido F, Liu D, Yao YY (2017) A unified model of sequential three-way decisions and multilevel incremental processing. Knowl-Based Syst 134:172–188

Yu H, Wang XC, Wang GY, Zeng XH (2020) An active three-way clustering method via low-rank matrices for multi-view data. Inf Sci 507:823–839

Liang DC, Liu D, Kobina A (2016) Three-way group decisions with decision-theoretic rough sets. Inf Sci 345:46–64

Yu H, Liu G, Wang GY (2014) An automatic method to determine the number of clusters using decision-theoretic rough set. Int J Approx Reason 55:101–115

Wu WZ, Leung Y (2013) Optimal scale selection for multi-scale decision tables. Int J Approx Reason 54:1107–1129

Li YF, Zhang LB, Xu Y, Yao YY, Lau RYK, Wu YT (2017) Enhancing binary classification by modeling uncertain boundary in three-way decisions. IEEE Trans Knowl Data Eng 29:1438–1451

Yang XP, Yao JT (2012) Modelling multi-agent three-way decisions with decision-theoretic rough sets. Fundam Inform 115:157–171

Pauker SG, Kassirer JP (1980) The threshold approach to clinical decision making. N Engl J Med 302:1109–1117

Wang M, Min F, Zhang ZH (2017) Active learning through density clustering. Expert Syst Appl 85:305–317

Liang DC, Liu D (2015) A novel risk decision-making based on decision-theoretic rough sets under hesitant fuzzy information. IEEE Trans Fuzzy Syst 23:237–247

Liang DC, Liu D (2014) Systematic studies on three-way decisions with interval-valued decision-theoretic rough sets. Inf Sci 276:186–203

Zhou B (2014) Multi-class decision-theoretic rough sets. Int J Approx Reason 55:211–224

Zhang XY, Miao DQ (2017) Three-way attribute reducts. Int J Approx Reason 88:401–434

Li XN, Qi JJ, Sun BZ, Yao YY (2016) Three-way decisions: theories and methods. Science Press, Beijing

Herbert JP, Yao JT (2011) Game-theoretic rough sets. Fundam Inform 108:267–286

Zhou B, Yao YY, Luo JG (2014) Cost-sensitive three-way email spam filtering. J Intell Inf Syst 42:19–45

Yao YY (2011) The superiority of three-way decision in probabilistic rough set models. Inf Sci 181:1080–1096

Li HX, Zhou XZ, Zhao JB, Liu D (2013) Non-monotonic attribute reduction in decision-theoretic rough sets. Fundam Inform 126:415–432