[图书][B] Semiorders: Properties, representations, applications

M Pirlot, P Vincke - 2013 - books.google.com
… complete orders to semiorders completely changes the properties of classical aggregation
… of these methods, adapted to the case of semiorders. However, although the set of semior…

Semiorders and choice functions

PC Fishburn - Econometrica: Journal of the Econometric Society, 1975 - JSTOR
… Since <X, P> is a semiorder if and only if it is a semitransitive … , we conclude with comments
on the semiorder theorem in [1]. … To verify Property 5, suppose to the contrary of Property 5 …

Interval representations for interval orders and semiorders

PC Fishburn - Journal of Mathematical Psychology, 1973 - Elsevier
… Some special properties … two monotonicity properties for the semiorderproperty may be
impossible to satisfy for semiorders on countable sets. However, it follows from Theorems 6 and …

Semiorders with separability properties

JC Candeal, A Estevan, JG García… - Journal of Mathematical …, 2012 - Elsevier
… the numerical representability of semiorders through a real-… –Suppes representability of
semiorders provided that a key … For instance, we may deal with the concept of a semiorder

Semiorders and the 1/3–2/3 conjecture

GR Brightwell - Order, 1989 - Springer
semiorders. Our approach is to prove that every semiorder satisfying the 1/3-2/3 condition
has a property … that there are no finite 2-separated semiorders, and to classify completely the …

Universal semiorders

A Giarlotta, S Watson - Journal of Mathematical Psychology, 2016 - Elsevier
semiorder embeds into a Z -line. As a corollary of this description, we derive the well known
fact that the dimension of a strict semiorder … we discuss the three properties that it must satisfy…

Generalizations of semiorders: A review note

PC Fishburn - Journal of Mathematical Psychology, 1997 - Elsevier
Semiorders may form the simplest class of partially ordered … uniform-threshold feature of
semiorders have been studied in … orders, bisemiorders, split semiorders, unit tolerance orders, …

Some representation problems for semiorders

P S̀wistak - Journal of Mathematical Psychology, 1980 - Elsevier
… Following Scott and Suppes (1958), by a semiorder we will mean a relational system (A, P),
where … we will first present some of the fundamental properties of semiorders (see Scott and …

[PDF][PDF] Belief change and semiorders

P Peppas, MA Williams - … International Conference on the Principles of …, 2014 - cdn.aaai.org
… always a desirable property for … a semiorder, is widely consider to be a more adequate
model of preference. In this paper we essentially re-construct revision functions using semiorders

Aggregation of semiorders: Intransitive indifference makes a difference

I Gilboa, R Lapson - Economic Theory, 1995 - Springer
… n = 2 the (.) property is too strict for aggregation of semiorders. In the next observation Pi are
semiorders, there does not exist a representable semiorder P which satisfies the (.) property