2009 | OriginalPaper | Buchkapitel
Acyclic Domains of Linear Orders: A Survey
verfasst von : Bernard Monjardet
Erschienen in: The Mathematics of Preference, Choice and Order
Verlag: Springer Berlin Heidelberg
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A
= {1,2…
i, j,k…n
} is a finite set of
n
elements that I will generally call
alternatives
(but which could also be called issues, decisions, outcomes, candidates, objects, etc.). The elements of
A
will be also denoted by letters like
x,y, z
etc. A subset of cardinality
p
of A will be called a
p
-set.
A
2
(respectively,
A
3
) denotes the set of all ordered pairs (
x,y
) (respectively, ordered triples (
x,y, z
) written for convenience as
xyz
) of
A
. When the elements of
A
are denoted by the
n
first integers,
P
2
(
n
) denotes the set of the
n
(
n
- 1)/2 ordered pairs (
i < j
).