Linear order statistic neuron

Document Type

Conference Proceeding

Publication Date



Department of Electrical and Computer Engineering


Herein, a generalization of the ordered weighted average (OWA) is put forth relative to pattern recognition. The resultant linear order statistic neuron (LOSN) is unique in that it bridges fuzzy sets, specifically fuzzy data/information aggregation, with neural networks. This article discusses the gradient descent-based optimization and geometric interpretation of the LOSN. An advantage is that the LOSN is an efficient shared weight encoding of N! perceptrons, relative to N inputs. Open source codes are provided to facilitate reproducible research. Experiments are conducted to both validate the method and show its non-linear geometric expression.

Publisher's Statement

© 2019 IEEE. Publisher’s version of record:

Publication Title

2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)