Abstract
In the recent past, a lot of work has been done on Linguistic Protoform Summaries (LPS). Much of this work focuses on improvement of the ways to compute truth values of LPS as well as on development of different protoforms. However, almost all of the systems using LPS use trapezoidal membership functions. This work investigates the effects of using triangular and pi shaped membership functions and compare their performance when using trapezoids. We start with an experiment using synthetic data and then compare the behavior of the three types of membership functions using real data which is obtained from an eldercare setting.
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Jain, A., Keller, J.M.: Textual summarization of events leading to health alerts. In: 2015 37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), pp. 7634–7637 (2015)
Wilbik, A., Keller, J.M., Alexander, G.L.: Linguistic summarization of sensor data for eldercare. In: 2011 IEEE International Conference on Systems, Man, and Cybernetics (SMC), pp. 2595–2599. IEEE (2011)
Castillo-Ortega, R., Marín, N., Sánchez, D.: Time series comparison using linguistic fuzzy techniques. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds.) IPMU 2010. LNCS, vol. 6178, pp. 330–339. Springer, Heidelberg (2010)
Kacprzyk, J., Wilbik, A., Zadrożny, S.: Linguistic summarization of time series using a fuzzy quantifier driven aggregation. Fuzzy Sets Syst. 159, 1485–1499 (2008)
Wilbik, A., Keller, J.M.: A distance metric for a space of linguistic summaries. Fuzzy Sets Syst. 208, 79–94 (2012)
Wilbik, A., Keller, J.M., Bezdek, J.C.: Linguistic prototypes for data from eldercare residents. IEEE Trans. Fuzzy Syst. 22, 110–123 (2014)
Wilbik, A., Keller, J.M.: Anomaly detection from linguistic summaries. In: 2013 IEEE International Conference on Fuzzy Systems (FUZZ), pp. 1–7. IEEE (2013)
Keller, J.M., Liu, D., Fogel, D.: Fundamentals of Computational Intelligence: Neural Networks, Fuzzy Systems, and Evolutionary Computation. Wiley/IEEE Press, Hoboken/New York (2016)
Yager, R.R.: A new approach to the summarization of data. Inf. Sci. 28, 69–86 (1982)
Jain, A., Keller, J.M.: On the computation of semantically ordered truth values of linguistic protoform summaries. In: 2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), pp. 1–8 (2015)
Acknowledgments
Akshay Jain is supported by AHRQ Grant 1R01HS023328 and Center for Eldercare and Rehabilitation Technology at the University of Missouri.
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Jain, A., Jiang, T., Keller, J.M. (2016). Impact of the Shape of Membership Functions on the Truth Values of Linguistic Protoform Summaries. In: Carvalho, J., Lesot, MJ., Kaymak, U., Vieira, S., Bouchon-Meunier, B., Yager, R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2016. Communications in Computer and Information Science, vol 610. Springer, Cham. https://doi.org/10.1007/978-3-319-40596-4_18
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DOI: https://doi.org/10.1007/978-3-319-40596-4_18
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