Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

Autoassociative Fuzzy Implicative Memory on the Platform of Fuzzy Preorder

Authors
Irina Perfilieva, Marek Vajgl
Corresponding Author
Irina Perfilieva
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.228How to use a DOI?
Keywords
Fuzzy preorder, upper set, fuzzy associative memory, image processing, noise.
Abstract

We propose a new theoretical justification of implicative fuzzy associative memory. It is based on the notion of a fuzzy preorder operator. Moreover, we give a necessary and sufficient condition on input data that guarantees insensitivity to a certain type of noise. The latter is precisely characterized. Various illustrative examples are made.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.228How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Irina Perfilieva
AU  - Marek Vajgl
PY  - 2015/06
DA  - 2015/06
TI  - Autoassociative Fuzzy Implicative Memory on the Platform of Fuzzy Preorder
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 1598
EP  - 1603
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.228
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.228
ID  - Perfilieva2015/06
ER  -