Abstract
This study is concerned with the design and analysis of digital systems using fuzzy neurocomputing. Some basic definitions of fuzzy-logic neurons, fundamental neural architectures, learning strategies and interpretation of their results are presented. We promote a concept of embedding principle: an original Boolean problem is represented in the language of fuzzy sets, afterwards solved through learning, and, finally, the result of learning re-interpreted in terms of two-valued logic. We show the use of fuzzy neurons in a standard design of combinational systems including a minimization of incompletely specified Boolean functions (viz. those involving don’t care conditions) and Boolean functions with many outputs. It is also claimed that this approach supports reverse engineering in the sense that once the architecture of the Boolean circuit has been learned, one can interpret the fuzzy logic network in order to gain an insight into the nature of rules governing the data.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bairagi, R. and Suchindran C. M.: An estimator of the cutoff point maximizing sum of sensitivity and specificity. Sankhya, Series B, Indian Journal of Statistics 51 (1989) 263–269.
Booker, L. B., Goldberg, D. E., and Holland, J. F.: Classifier systems and genetic algorithms. In Machine Learning. Paradigms and Methods. Carbonell, J. G. (ed.), The MIT Press, Cambridge MA (1990) 235–282.
Creasy R. K. and Herron M. A.: Prevention of preterm birth. Seminars in Perinatology 5 (1981) 295–302.
Creasy R. K.: Preterm birth prevention: where are we? American Journal of Obstetrics and Gynecology 168 (1993) 1223–1230.
Grzymala-Busse, J. W.: On the unknown attribute values in learning from examples. Proc. of the ISMIS-91, 6th International Symposium on Methodologies for Intelligent Systems, Charlotte, North Carolina, October 16–19, 1991. Lecture Notes in Artificial Intelligence, vol. 542, Springer-Verlag, Heidelberg New York (1991), 368–377.
Grzymala-Busse, J. W.: LERS—A knowledge discovery system.: In Rough Sets in Knowledge Discovery 2, Applications, Case Studies and Software Systems, ed. by L. Polkowski and A. Skowron, Physica-Verlag, Heidelberg New York (1998) 562–565.
Grzymala-Busse, J. W., Goodwin, L. K., and Zhang, X.: Increasing sensitivity of preterm birth by changing rule strengths. Proc. of the 8th Workshop on Intelligent Information Systems (IIS’99), Ustron, Poland, June 14–18, 1999, 127–136.
Grzymala-Busse, J. W., Grzymala-Busse, W. J., Goodwin L. K.: A closest fit approach to missing attribute values in preterm birth data. Proc. of the Seventh Int. Workshop on Rough Sets, Fuzzy Sets, Data Mining and Granular-Soft Computing (RSFDGrC’99), Ube, Yamaguchi, Japan, November 8–10, 1999. Lecture Notes in Artificial Intelligence, vol. 1711, Springer Verlag, Heidelberg New York (1999) 405–413.
Holland, J. H., Holyoak K. J., and Nisbett, R. E.: Induction. Processes of Inference, Learning, and Discovery. The MIT Press, Cambridge MA (1986).
McLean M, W. A. Walters, and Smith R.: Prediction and early diagnosis of preterm labor: a critical review. Obstetrical and Gynecological Survey 48 (1993) 209–225.
Michalski, R. S., Mozetic, I., Hong, J. and Lavrac, N.: The AQ15 inductive learning system: An overview and experiments. Department of Computer Science, University of Illinois, Rep. UIUCDCD-R-86–1260, 1986.
Pawlak, Z.: Rough sets. International Journal Computer and Information Sciences 11 (1982) 341–356.
Pawlak, Z.: Rough Sets. Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Boston, MA (1991).
Pawlak Z., Grzymala-Busse, J. W. Slowinski, R., and Ziarko W.: Rough Sets. Communications of the ACM 38 (1995) 89–95.
Stefanowski, J.: On rough set based approaches to induction of decision rules. In Polkowski L., Skowron A. (eds.) Rough Sets in Data Mining and Knowledge Discovery, Physica-Verlag, Heidelberg New York (1998) 500–529.
Woolery, L. K. and Grzymala-Busse, J.: Machine learning for an expert system to predict preterm birth risk. Journal of the American Medical Informatics Association 1 (1994) 439–446.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Grzymała-Busse, J.W., Goodwin, L.K., Grzymała-Busse, W.J., Zheng, X. (2002). Problems of Rule Induction from Preterm Birth Data. In: Jain, L.C., Kacprzyk, J. (eds) New Learning Paradigms in Soft Computing. Studies in Fuzziness and Soft Computing, vol 84. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1803-1_13
Download citation
DOI: https://doi.org/10.1007/978-3-7908-1803-1_13
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-2499-5
Online ISBN: 978-3-7908-1803-1
eBook Packages: Springer Book Archive