Construction of A Lattice on the completion space of an algebra and an isomorphism to its Caratheodory Extension

zbMath1252.28002arXiv0806.2940MaRDI QIDQ3067896

Peter F. McLoughlin, Jun-Ichi Tanaka

Publication date: 13 January 2011

Full work available at URL: https://arxiv.org/abs/0806.2940

zbMATH Keywords

lattice theorymeasure theoryCarathéodory extension theorem

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Contents, measures, outer measures, capacities (28A12)

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Generalized Carathéodory extension theorem on fuzzy measure space

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