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On the family of linear extensions of a partial order

✍ Scribed by Peter C Fishburn

Publisher: Elsevier Science
Year: 1974
Tongue: English
Weight: 170 KB
Volume: 17
Category: Article
ISSN: 0095-8956
DOI: 10.1016/0095-8956(74)90030-6

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Clearly the sum as well as the maximum of two real numbers can be presented as a semigroup operation. So the measure with values in a partially ordered semigroup is a common generalization of additive or subadditive and maxitive measures (see Section 4). The extension of such measures we realize by