Abstract
Any practical decision making strategy is required to ensure that the best decision is made with respect to the information available and the knowledge possessed by experts. A rule-based fuzzy decision making system typically works on the fuzzy rules generated from numerical data acquired in the problem domain. However, different expert opinions on fuzzy partitions may result in a range of uncertainties in representing the domain knowledge. The invention of rough-fuzzy sets offers a great potential in the representation, handling and utilisation of different levels of uncertainty in knowledge. Inspired by this observation, a rough-fuzzy rule interpolation method is introduced in this paper to enable decision making systems modelling and harnessing additional uncertain information, in order to implement a fuzzy reasoning system that can work with incomplete rule base. An initial experimental investigation is carried out and the results are presented to demonstrate the effectiveness of the proposed method in aiding the development of an intelligent decision making system.
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References
Bache, K., Lichman, M.: UCI machine learning repository (2013). http://archive.ics.uci.edu/ml
Banerjee, M., Pal, S.: Roughness of a fuzzy set. Inf. Sci. 93(3), 235–246 (1996)
Chen, C., Parthalain, N.M., Li, Y., Price, C., Quek, C., Shen, Q.: Rough-fuzzy rule interpolation. Inf. Sci. 351, 1–17 (2016)
Fu, X., Shen, Q.: Fuzzy compositional modeling. IEEE Trans. Fuzzy Syst. 18(4), 823–840 (2010)
Gordon, A., Vichi, M.: Fuzzy partition models for fitting a set of partitions. Psychometrika 66(2), 229–247 (2001)
Guillaume, S.: Designing fuzzy inference systems from data: an interpretability-oriented review. IEEE Trans. Fuzzy Syst. 9(3), 426–443 (2001)
Huang, Z., Shen, Q.: Fuzzy interpolative reasoning via scale and move transformations. IEEE Trans. Fuzzy Syst. 14(2), 340–359 (2006)
Huang, Z., Shen, Q.: Fuzzy interpolation and extrapolation: a practical approach. IEEE Trans. Fuzzy Syst. 16(1), 13–28 (2008)
Huynh, V.-N., Nakamori, Y., Lawry, J.: A probability-based approach to comparison of fuzzy numbers and applications to target-oriented decision making. IEEE Trans. Fuzzy Syst. 16(2), 371–387 (2008)
Kohavi, R.: A study of cross-validation and bootstrap for accuracy estimation and model selection. In: Proceedings of the International Joint Conference on Artificial Intelligence, pp. 1137–1143 (1995)
Li, F., Li, Y., Shang, C., Shen, Q.: Fuzzy knowledge-based prediction through weighted rule interpolation. IEEE Trans. Cybern. 50(10), 4508–4517 (2020)
Li, F., Shang, C., Li, Y., Yang, J., Shen, Q.: Interpolation with just two nearest neighboring weighted fuzzy rules. IEEE Trans. Fuzzy Syst. 28(9), 2255–2262 (2020)
Li, F., Shang, C., Li, Y., Yang, J., Shen, Q.: Approximate reasoning with fuzzy rule interpolation: background and recent advances. Artif. Intell. Rev. 54, 4543–4590 (2021)
Lin, Y., Cunningham, G.A., III., Coggeshall, S.V.: Using fuzzy partitions to create fuzzy systems from input-output data and set the initial weights in a fuzzy neural network. IEEE Trans. Fuzzy Syst. 5(4), 614–621 (1997)
Pawlak, Z.: Rough sets. Int. J. Comput. Inf. Sci. 11(5), 341–356 (1982)
Shao, J.: Linear model selection by cross-validation. J. Am. Stat. Assoc. 88(422), 486–494 (1993)
Wang, L.-X., Mendel, J.M.: Generating fuzzy rules by learning from examples. IEEE Trans. Syst. Man Cybern. 22(6), 1414–1427 (1992)
Acknowledgment
This research was partly supported by the Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJQN202101513) and the Research Foundation of Chongqing University of Science and Technology (Grant No. CK2016B04).
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Chen, C., Shen, Q. (2022). Rough-Fuzzy Rule Interpolation for Data-Driven Decision Making. In: Jansen, T., Jensen, R., Mac Parthaláin, N., Lin, CM. (eds) Advances in Computational Intelligence Systems. UKCI 2021. Advances in Intelligent Systems and Computing, vol 1409. Springer, Cham. https://doi.org/10.1007/978-3-030-87094-2_3
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