Impact of the Shape of Membership Functions on the Truth Values of Linguistic Protoform Summaries
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.
KeywordsLinguistic protoform summaries Membership functions Truth value
Akshay Jain is supported by AHRQ Grant 1R01HS023328 and Center for Eldercare and Rehabilitation Technology at the University of Missouri.
- 1.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)Google Scholar
- 2.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)Google Scholar
- 7.Wilbik, A., Keller, J.M.: Anomaly detection from linguistic summaries. In: 2013 IEEE International Conference on Fuzzy Systems (FUZZ), pp. 1–7. IEEE (2013)Google Scholar
- 8.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)Google Scholar
- 10.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)Google Scholar