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

Steady states of max-Lukasiewicz fuzzy systems

Authors
Zuzana Nemcová
Corresponding Author
Zuzana Nemcová
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.15How to use a DOI?
Keywords
Fuzzy algebra, t-norms, max ukasiewicz algebra, steady states
Abstract

The paper gives the systematic characterization of eigenspace in max-T algebra where T is equal to ukasiewicz t-norm. Max- ukasiewicz fuzzy algebra can be used for the description of the states of Discrete-event systems. The states can represent a balance of the resource unit expended during the evolution of the system (for example fuel or money). In the contribution, the classification of max- ukasiewicz eigenspaces is described and explained by the two-dimensional examples - in this case it is possible to accompany the example with illustrative graphs. However the description of the eigenspace for the higher dimensions is also outlined.

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-15.2015.15How 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  - Zuzana Nemcová
PY  - 2015/06
DA  - 2015/06
TI  - Steady states of max-Lukasiewicz fuzzy systems
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  - 85
EP  - 90
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.15
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.15
ID  - Nemcová2015/06
ER  -