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.
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This is an open access article distributed under the CC BY-NC license.

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TY  - CONF
AU  - Zuzana Nemcová
PY  - 2015/06
DA  - 2015/06
TI  - Steady states of max-Lukasiewicz fuzzy systems
BT  - 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (IFSA-EUSFLAT-15)
PB  - Atlantis Press
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  -