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Interval systems over idempotent semiring. (English) Zbl 1201.65070
The paper deals with the solution of certain matrix linear inequalities over idempotent semirings. As examples the (\(\max, +\)) and (\(\max, \min\)) semirings are discussed. The problems are extended to the situation when the entries of the matrices are intervals. To this end suitable extensions of the operations/relations involved are proposed.

MSC:
65G40 General methods in interval analysis
65F30 Other matrix algorithms (MSC2010)
15A45 Miscellaneous inequalities involving matrices
15B33 Matrices over special rings (quaternions, finite fields, etc.)
16Y60 Semirings
15A80 Max-plus and related algebras
Software:
MinMaxgd
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References:
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