binary relation

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binary relation

n. Mathematics
A set of assignments from one set to itself or to another set. For example, "less than" is a binary relation from the set of real numbers to itself in which 3 is assigned to 4 (because 3 < 4), but 4 is not assigned to 3 (because 4 > 3).
References in periodicals archive ?
In order to find a global optimum, in addition to specifying a vector objective function and constraints, it is also necessary to specify the binary relations of preferences for local optimization criteria that are components of the initial vector optimization criterion.
On the Hypergroups Associated with Binary Relations, Multi.
Beliefs are commonly analyzed as binary relations between subjects and propositions.
We represent the binary relations between classes by a diagram in figure 3.
In this paper, we consider binary relations t on a neutrosophic set H(I) that define hypercompositional structures H[(I).
Then the set Rel(A) of all binary relations on A with the operations of composition "[omicron]" and union [union], with equality [=.
The two underlying theoretical assumptions in this chapter are connected with Higginbotham's approach to semantics in general: both main predicates and complement predicates have in their predicate structure appropriate event positions, and tenses express binary relations (of temporal overlap or inclusion) between times.
An important feature of the model is that it represents permission naturally as binary relations and formalizes them as DL roles.
T] are binary relations on [DELTA] as the role names, [A.
The following ontology components are included in WEBODE's knowledge model: concepts and their attributes (both instance and class attributes); concept groups, which represent sets of disjoint concepts; concept taxonomies and disjoint and exhaustive class decompositions; ad hoc binary relations between concepts, which can be characterized by relation properties (symmetry, transitiveness, and so on); constants; formal axioms, expressed in first-order logic; rules; and instances of concepts and relations.
Fork algebras are a kind of algebras of binary relations especially developed for program specification and construction [3].
However, although the title of Le Meme et l'Autre seems to refer to the binary relations that have dominated much post-war French philosophy, this collective work is in fact part of the continuing research led by Montandon and his team at the Centre de Recherches sur les Litteratures Modernes et Contemporaines into the make-up of European identity and the evolution of notions of savoir-vivre.