Yager, Ronald R.; Kreinovich, Vladik Fair division under interval uncertainty. (English) Zbl 1113.68542 Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 8, No. 5, 611-618 (2000). Summary: It is often necessary to divide a certain amount of money between \(n\) participants, i.e., to assign, to each participant, a certain portion \(w_{i}\geq 0\) of the whole sum (so that \(w_{1}+ \dots + w_{n}=1)\). In some situations, from the fairness requirements, we can uniquely determine these “weights” \(w_{i}\). However, in some other situations, general considerations do not allow us to uniquely determine these weights, we only know the intervals \([w_i^-,w_i^+]\) of possible fair weights. We show that natural fairness requirements enable us to choose unique weights from these intervals; as a result, we present an algorithm for fair division under interval uncertainty. Cited in 1 ReviewCited in 6 Documents MSC: 68T37 Reasoning under uncertainty in the context of artificial intelligence 91B32 Resource and cost allocation (including fair division, apportionment, etc.) Keywords:fair division; interval uncertainty PDF BibTeX XML Cite \textit{R. R. Yager} and \textit{V. Kreinovich}, Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 8, No. 5, 611--618 (2000; Zbl 1113.68542) Full Text: DOI References: [1] DOI: 10.1007/978-1-4613-3440-8_11 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.