Optimizing Range Norm of The Image Set of Matrix over Interval Max-Plus Algebra with Prescribed Components

Let ℝ be the set of all real numbers and ℝε = ℝ ⋃ {ε} whose ε = -∞. Max-plus algebra is the set ℝε that is equipped two operations maximum and addition. It can be formed matrices in the size of m × n whose elements belong to ℝε, called matrix over max-plus algebra. Optimizing range norm of the image...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-08, Vol.1306 (1), p.12051
Main Authors: Siswanto, Suparwanto, A, Rudhito, M A
Format: Article
Language:English
Subjects:
Algebra
Physics
Real numbers
Online Access:Get full text
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Summary:Let ℝ be the set of all real numbers and ℝε = ℝ ⋃ {ε} whose ε = -∞. Max-plus algebra is the set ℝε that is equipped two operations maximum and addition. It can be formed matrices in the size of m × n whose elements belong to ℝε, called matrix over max-plus algebra. Optimizing range norm of the image set of matrix over max-plus algebra with prescribed components has been discussed. Interval Max-Plus Algebra is the set I(ℝ)ε={ x=[x_,x¯]|x_,x¯∈ℝ,ε
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1306/1/012051