Neural modelling of fuzzy set connectives

Kaoru Hirota, Witold Pedrycz

Research output: Contribution to journalConference articlepeer-review

Abstract

The paper introduces a neural network-based model of logical connectives. The network consists of two types of generic OR and AND neurons structured into a three layer topology. The specificity of the logical connectives is captured by the network within its supervised learning. Further analysis of the connections of the network obtained in this way provides a better insight into the nature of the connectives for fuzzy sets; in particular the analysis can look at their non-monotonic and compensative properties. Numerical studies including the Zimmermann-Zysno data set illustrate the performance of the network.

Original languageEnglish
Pages (from-to)414-425
Number of pages12
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume2061
DOIs
Publication statusPublished - 22 Dec 1993
Externally publishedYes
EventApplications of Fuzzy Logic Technology 1993 - Boston, United States
Duration: 7 Sept 199310 Sept 1993

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Hirota, K., & Pedrycz, W. (1993). Neural modelling of fuzzy set connectives. Proceedings of SPIE - The International Society for Optical Engineering, 2061, 414-425. https://doi.org/10.1117/12.165044