G.L. Litvinov, V.P. Maslov, A.N. Sobolevskii
Idempotent Mathematics and Interval Analysis
Preprint series: ESI preprints

MSC:

65G10 Interval and finite arithmetic

16Y60 Semirings, See also {12K10}

06F05 Ordered semigroups, See also {20Mxx}

08A70 Applications of universal algebra in computer science

65K10 Optimization and variational techniques, See also {49Mxx,

Abstract: A brief introduction into Idempotent Mathematics and an idempotent
version of Interval Analysis are presented. Some applications are
discussed.
Keywords: Idempotent Mathematics, Interval Analysis, idempotent semiring, idempotent linear algebra