Abstract
The multiple criteria decision-making problem is considered. Each object (variant) is described by a tuple of estimates according to n scalar criteria. A binary relation г of power (importance) is defined on the set of criteria. On the set of estimate tuples, this relation induces some transitive preference order relation τ г for variants. Each order relation can be defined by its representation function. In this paper, an explicit form of the representation function of the relation τ г is obtained for each г and the complexity of the representation is investigated by means of logical formulas.
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© 1996 Kluwer Academic Publishers
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Sholomov, L.A. (1996). Synthesis of Transitive Order Relations Compatible with the Power of Criteria. In: Korshunov, A.D. (eds) Discrete Analysis and Operations Research. Mathematics and Its Applications, vol 355. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1606-7_21
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DOI: https://doi.org/10.1007/978-94-009-1606-7_21
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7217-5
Online ISBN: 978-94-009-1606-7
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