Zadeh LA. Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets Syst. 1997;90(2):111–27.
Article MathSciNet MATH Google Scholar
Pedrycz W, Bargiela A. An optimization of allocation of information granularity in the interpretation of data structures. IEEE Trans Syst Man Cybern. 2012;42(3):582–90.
Wang GY, Yang J, Xu J. Granular computing: from granularity optimization to multi-granularity joint problem solving. Granular Computing. 2017;2(3):582–90.
Zadeh LA. Fuzzy sets. Inf Control. 1965;8(3):338–53.
Zhang L, Zhang B. The quotient space theory of problem solving. Fund Inform. 2004;59(2–3):287–98.
MathSciNet MATH Google Scholar
Pawlak Z. Rough sets. International Journal of Computer & Information Sciences. 1982;11(5):341–56.
Article MathSciNet MATH Google Scholar
Dubois D, Prade H. Rough fuzzy sets and fuzzy rough sets. Int J Gen Syst. 1990;109(2–3):191–209.
Sun BZ, Ma WM, Chen XT. Variable precision multigranulation rough fuzzy set approach to multiple attribute group decision-making based on \(\lambda\)-similarity relation. Comput Ind Eng. 2019;127:326–343.
Chen XW, Xu WH. Double-quantitative multigranulation rough fuzzy set based on logical operations in multi-source decision systems. Int J Mach Learn Cybern. 2022;13(4):1021–48.
Zhang QH, Wang J, Wang GY. The approximate representation of rough-fuzzy sets. Chin J Comput. 2015;38(7):1484–96.
Zhang QH, Wang J, Wang GY, Yu H. The approximation set of a vague set in rough approximation space. Inform Sci. 2015;300:1–19.
Article MathSciNet MATH Google Scholar
Zhang QH, Yang JJ, Yao LY. Attribute reduction based on rough approximation set in algebra and information views. IEEE Access. 2016;4:5399–407.
Yao LY, Zhang QH, Hu SP, Zhang Q. Rough entropy for image segmentation based on approximation sets and particle swarm optimization. J Front Comput Sc Technol. 2016;10(5):699–708.
Zhang QH, Liu KX. Approximation sets of rough sets and granularity optimization algorithm based on cost-sensitive. J Control Decis. 2020;35(9):2070–80.
Yao YY. Tri-level thinking: models of three-way decision. Int J Mach Learn Cybern. 2020;11(5):947–59.
Yang JL, Yao YY. A three-way decision based construction of shadowed sets from atanassov intuitionistic fuzzy sets. Inform Sci. 2021;577:1–21.
Article MathSciNet Google Scholar
Yao YY. Three-way granular computing, rough sets, and formal concept analysis. Int J Approx Reason. 2020;116:106–25.
Article MathSciNet MATH Google Scholar
Yao YY. The geometry of three-way decision. Appl Intell. 2021;51(9):6298–325.
Yao YY. Symbols-meaning-value (smv) space as a basis for a conceptual model of data science. Int J Approx Reason. 2022;144:113–28.
Article MathSciNet MATH Google Scholar
Ju HR, Pedrycz W, Li HX, Ding WP, Yang XB, Zhou XZ. Sequential three-way classifier with justifiable granularity. Knowl-Based Syst. 2019;163:103–19.
Zhi HL, Li JH. Granule description of incomplete data: a cognitive viewpoint. Cogn Comput. 2021;2:1–12.
Lang GM, Luo JF, Yao YY. Three-way conflict analysis: a unification of models based on rough sets and formal concept analysis. Knowl-Based Syst. 2020;194(22).
Yao YY. A triarchic theory of granular computing. Granular Computing. 2016;1(2):145–57.
Li WW, Jia XY, Wang L, Zhou B. Multi-objective attribute reduction in three-way decision-theoretic rough set model. Int J Approx Reason. 2019;105:327–41.
Article MathSciNet MATH Google Scholar
Ye XQ, Liu D. An interpretable sequential three-way recommendation based on collaborative topic regression. Expert Syst Appl. 2021;168.
Du JL, Liu SF, Liu Y. A novel grey multi-criteria three-way decisions model and its application. Comput Ind Eng. 2021;158.
Savchenko AV. Sequential three-way decisions in multi-category image recognition with deep features based on distance factor. Inform Sci. 2019;489:18–36.
Article MathSciNet MATH Google Scholar
Li HX, Zhang LB, Huang B, Zhou XZ. Sequential three-way decision and granulation for cost-sensitive face recognition. Knowl-Based Syst. 2016;91:241–51.
Afridi MK, Azam N, Yao JT, Alanazi E. A three-way clustering approach for handling missing data using gtrs. Int J Approx Reason. 2018;98:11–24.
Article MathSciNet MATH Google Scholar
Wang PX, Yao YY. Ce3: A three-way clustering method based on mathematical morphology. Knowl-Based Syst. 2018;155:54–65.
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):3–15.
Li ZW, Zhang PF, Xie NX, Zhang GQ, Wen CF. A novel three-way decision method in a hybrid information system with images and its application in medical diagnosis. Eng Appl Artif Intell. 2020;92.
Wang JJ, Ma XL, Xu ZH, Zhan JM. Regret theory-based three-way decision model in hesitant fuzzy environments and its application to medical decision. IEEE Trans Fuzzy Syst. 2022;1.
He SF, Wang YM, Pan XH, Chin KS. A novel behavioral three-way decision model with application to the treatment of mild symptoms of covid-19. Appl Soft Comput. 2022;124.
Yao YY, Deng XF. Sequential three-way decisions with probabilistic rough sets. In: IEEE International Conference on Cognitive Informatics and Cognitive Computing. 2011;pp. 120–125
Sun BZ, Ma WM, Zhao HY. Decision-theoretic rough fuzzy set model and application. Inform Sci. 2014;283:180–96.
Article MathSciNet MATH Google Scholar
Sun BZ, Ma WM, Li BJ, Li XN. Three-way decisions approach to multiple attribute group decision making with linguistic information-based decision-theoretic rough fuzzy set. Int J Approx Reason. 2018;93:424–42.
Article MathSciNet MATH Google Scholar
Ma JM, Zhang HY, Qian YH. Three-way decisions with reflexive probabilistic rough fuzzy sets. Granular Computing. 2019;4(3):363–75.
Yang J, Wang GY, Zhang QH, Chen YH, Xu TH. Optimal granularity selection based on cost-sensitive sequential three-way decisions with rough fuzzy sets. Knowl-Based Syst. 2019;163:131–44.
Zhai JH, Zhang Y, Zhu HY. Three-way decisions model based on tolerance rough fuzzy set. Int J Mach Learn Cybern. 2017;8(1):35–43.
Zhang XY, Yao YY. Tri-level attribute reduction in rough set theory. Expert Syst Appl. 2022;190.
Yu H, Chen LY, Yao JT. A three-way density peak clustering method based on evidence theory. Knowl-Based Syst. 2021;211.
Deng J, Zhan JM, Xu ZS, Herrera-Viedma E. Regret-theoretic multi-attribute decision-making model using three-way framework in multi-scale information systems. IEEE Trans Cybern. 2022;1–14.
Deng J, Zhan JM, Herrera-Viedma EFH. Regret theory-based three-way decision method on incomplete multi-scale decision information systems with interval fuzzy numbers. IEEE Trans Fuzzy Syst. 2022;1-15.
Wang WJ, Zhan JM, Zhang C, Herrera-Viedma E, Kou G. A regret-theory-based three-way decision method with a priori probability tolerance dominance relation in fuzzy incomplete information systems. Information Fusion. 2023;89:382–96.
Wang WJ, Zhan JM, Herrera-Viedma E. A three-way decision approach with a probability dominance relation based on prospect theory for incomplete information systems. Inform Sci. 2022;611:199–224.
Mondal A, Roy SK, Pamucar D. Regret-based three-way decision making with possibility dominance and spa theory in incomplete information system. Expert Syst Appl. 2023;211.
Siminski K. 3wdnfs-three-way decision neuro-fuzzy system for classification. Fuzzy Sets Syst. 2022.
Chen J, Chen Y, He YC, Xu Y, Zhao S, Zhang YP. A classified feature representation three-way decision model for sentiment analysis. Appl Intell. 2022;52:7995–8007.
Yao YY, Wang S, Deng XF. Constructing shadowed sets and three-way approximations of fuzzy sets. Inform Sci. 2017;412(5):132–53.
Article MathSciNet MATH Google Scholar
Zhang QH, Xiao Y, Wang GY. A new method for measuring fuzziness of vague set (or intuitionistic fuzzy set). J Intell Fuzzy Syst. 2013;25(2):505–15.
Article MathSciNet MATH Google Scholar
Zhang QH, Zhang P, Wang GY. Research on approximation set of rough set based on fuzzy similarity. J Intell Fuzzy Syst. 2017;32(3):2549–62.
Luca AD, Termini S. A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory. Inf Control. 1972;20(4):301–12.
Article MathSciNet MATH Google Scholar
Tahayori H, Sadeghian A, Pedrycz W. Induction of shadowed sets based on the gradual grade of fuzziness. IEEE Trans Fuzzy Syst. 2013;21(5):937–49.
留言 (0)