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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
MinMaxgd
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##### References:
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