Abstract
The trisecting–acting–outcome model of a three-way decision is a practical approach to solving complex problems, consisting of three components: trisecting, acting, and outcome. Trisecting means dividing a complex problem into three parts based on an evaluation function, and acting means designing the corresponding action to apply to these three parts. The outcome denotes evaluation effectiveness based on the first two steps. Measuring this outcome is a challenging and moving question after trisecting-and-acting (T &A). This paper proposes a method to measure outcome based on object changes before and after T &A based on top-down and bottom-up perspectives, depending on the decision needs. First, evaluation functions are constructed that extend the traditional evaluation functions to measure changes. Then, based on the introduced evaluation functions, qualitative and quantitative of three-way changes are introduced and analyzed. Furthermore, we present the processes that determine the optimal strategy with the quantitative analysis. The analysis of several examples shows the effectiveness and practicality of our proposed method.
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References
Fan B, Tsang E, Xu W, Chen D, Li W (2019) Attribute-oriented cognitive concept learning strategy: a multi-level method. Int J Mach Learn Cybern 10(9):2421–2437
Ganter B, Wille R (1999) Formal concept analysis: mathematical foundations. Springer, Berlin
Hu J, Yang Y, Chen X (2018) A novel TODIM method-based three-way decision model for medical treatment selection. Int J Fuzzy Syst 20(4):1240–1255
Jia X, Shang L (2014) Three-way decisions versus two-way decisions on filtering spam email. LNCS Trans Rough Sets XVII I:69–91
Jia X, Deng Z, Min F, Liu D (2019) Three-way decisions based feature fusion for Chinese irony detection. Int J Approx Reason 113:324–335
Jiang C, Yao Y (2018) Effectiveness measures in movement-based three-way decisions. Knowl Based Syst 160:136–143
Jiang C, Zhao S (2020) Action strategy analysis in probabilistic preference movement-based three-way decision. Math Probl Eng. https://doi.org/10.1155/2020/5436507
Jiang C, Wu J, Li Z (2019a) Adaptive thresholds determination for saving cloud energy using three-way decisions. Cluster Comput 22(4):8475–8482
Jiang C, Duan Y, Yao J (2019b) Resource-utilization-aware task scheduling in cloud platform using three-way clustering. J Intell Fuzzy Syst 37:1–9
Jiang C, Guo D, Duan Y, Liu Y (2020) Strategy selection under entropy measures in movement-based three-way decision. Int J Approx Reason 119:280–291
Jiang C, Guo D, Xu R (2021a) Measuring the outcome of movement-based three-way decision using proportional utility functions. Appl Intell 51(12):8598–8612
Jiang C, Guo D, Sun L (2021b) Effectiveness measure for TAO model of three-way decisions with interval set. J Intell Fuzzy Syst 40(6):11071–11084
Jiang C, Guo D, Duan Y (2022) Measure effectiveness of change-based three-way decision using utility theory. Cognit Comput 14(3):1009–1018
Ma X, Wang G, Yu H, Li T (2014) Decision region distribution preservation reduction in decision-theoretic rough set model. Inf Sci 278:614–640
Qian F, Min Q, Zhao S, Chen J, Wang X, Zhang Y (2019a) Three-way decision collaborative recommendation algorithm based on user reputation. In: Proceedings of the 2019 international joint conference on rough sets, pp 424–438
Qian T, Wei L, Qi J (2019b) A theoretical study on the object (property) oriented concept lattices based on three-way decisions. Soft Comput 23(19):9477–9489
Xu W, Li W (2014) Granular computing approach to two-way learning based on formal concept analysis in fuzzy datasets. IEEE Trans Cybern 46(2):366–379
Xu Y, Zhang H, Min F (2017) A three-way recommender system for popularity-based costs, lecture notes in artificial intelligence, vol 10314. Springer International Publishing Ag, Cham, pp 278–289
Xu W, Yuan K, Li W (2022) Dynamic updating approximations of local generalized multigranulation neighborhood rough set. Appl Intell 52(8):9148–9173
Yao Y (2004) Information granulation and approximation in a decision-theoretical model of rough sets. In: Pal S, Polkowshi L, Skowron A (eds) Rough-neural computing: techniques for computing with words. Springer, Berlin, pp 491–516
Yao Y (2008) Probabilistic rough set approximations. Int J Approx Reason 49(2):255–271
Yao Y (2009) Three-way decision: an interpretation of rules in rough set theory. In: Proceedings of 4th international conference on rough sets and knowledge technology, pp 642–649
Yao Y (2012) An outline of a theory of three-way decisions. In: Proceedings of 8th international conference on rough sets and current trends in computing, pp 1–17
Yao Y (2020a) Tri-level thinking: models of three-way decision. Int J Mach Learn Cybern 11(5):947–959
Yao Y (2020b) Three-way granular computing, rough sets, and formal concept analysis. Int J Approx Reason 116:106–125
Yao Y (2021) Set-theoretic models of three-way decision. Granul Comput 6(1):133–148
Yu H, Chu S, Yang D (2010) Autonomous knowledge-oriented clustering using decision-theoretic rough set theory. In: Proceedings of 5th international conference on rough set and knowledge technology, pp 687–694
Yu H, Wang X, Wang G, Zeng X (2020) An active three-way clustering method via low-rank matrices for multi-view data. Inf Sci 507:823–839
Yuan K, Xu W, Li W, Ding W (2022) An incremental learning mechanism for object classification based on progressive fuzzy three-way concept. Inf Sci 584:127–147
Zhang Y, Yao J (2020) Game theoretic approach to shadowed sets: a three-way tradeoff perspective. Inf Sci 507:540–552
Zhi H, Qi J, Qian T, Wei L (2019) Three-way dual concept analysis. Int J Approx Reason 114:151–165
Zhou B, Yao Y, Luo J (2010) A three-way decision approach to email spam filtering. In: Proceedings of 23th Canadian conference on artificial intelligence, pp 514–522
Acknowledgements
This work was supported in part by the Natural Science Foundation of Heilongjiang Province (LH2020F031).
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Chunmao Jiang declares that he has no conflict of interest. Ying Duan declares that she has no conflict of interest. Doudou Guo declares that he has no conflict of interest.
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Jiang, C., Duan, Y. & Guo, D. Effectiveness measure in change-based three-way decision. Soft Comput 27, 2783–2793 (2023). https://doi.org/10.1007/s00500-022-07524-8
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DOI: https://doi.org/10.1007/s00500-022-07524-8
Keywords
- Three-way decision
- Outcome measure
- Trisecting-acting-outcome
- Three-way change