Fuzzy neurons and fuzzy multilinear mappings

K. S. Adbukhalikov; Chul Kim; H. S. Cho

doi:10.1109/ICNN.1997.611727

Fuzzy neurons and fuzzy multilinear mappings

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

There are several mathematical models of fuzzy neurons. Usually, input values of them are fuzzy numbers (that is, fuzzy sets in one-dimensional space) with triangular membership functions. The aggregating operations may be one of the T-norms or T-conorms. There are currently few, if any, learning methods proposed in the literature. We propose to consider fuzzy linear spaces as fuzzy inputs of fuzzy neurons and offer mathematical theory to work with this notions. In particular, we study fuzzy multilinear maps of fuzzy linear spaces. If the neuron model were to carry out only linear operations, the method would lose its mathematical attractiveness, but this is overcome by considering multidimensional linear spaces.

Original language	English
Title of host publication	1997 IEEE International Conference on Neural Networks, ICNN 1997
Pages	543-547
Number of pages	5
DOIs	https://doi.org/10.1109/ICNN.1997.611727
Publication status	Published - 1997
Externally published	Yes
Event	1997 IEEE International Conference on Neural Networks, ICNN 1997 - Houston, TX, United States Duration: Jun 9 1997 → Jun 12 1997

Publication series

Name	IEEE International Conference on Neural Networks - Conference Proceedings
Volume	1
ISSN (Print)	1098-7576

Conference

Conference	1997 IEEE International Conference on Neural Networks, ICNN 1997
Country/Territory	United States
City	Houston, TX
Period	6/9/97 → 6/12/97

ASJC Scopus subject areas

Software

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10.1109/ICNN.1997.611727

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Adbukhalikov, KS, Kim, C & Cho, HS 1997, Fuzzy neurons and fuzzy multilinear mappings. in 1997 IEEE International Conference on Neural Networks, ICNN 1997., 611727, IEEE International Conference on Neural Networks - Conference Proceedings, vol. 1, pp. 543-547, 1997 IEEE International Conference on Neural Networks, ICNN 1997, Houston, TX, United States, 6/9/97. https://doi.org/10.1109/ICNN.1997.611727

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Fuzzy neurons and fuzzy multilinear mappings

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