- preordered set
- мат. предупорядоченное множество
Большой англо-русский и русско-английский словарь. 2001.
preordered set
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Preordered class — In mathematics, a preordered class is a class equipped with a preorder. Definition When dealing with a class C, it is possible to define a class relation on C as a subclass of the power class C C . Then, it is convenient to use the language of… … Wikipedia
Category of preordered sets — The category Ord has preordered sets as objects and monotonic functions as morphisms. This is a category because the composition of two monotonic functions is monotone.The monomorphisms in Ord are the injective monotonic functions.The empty set… … Wikipedia
Partially ordered set — The Hasse diagram of the set of all subsets of a three element set {x, y, z}, ordered by inclusion. In mathematics, especially order theory, a partially ordered set (or poset) formalizes and generalizes the intuitive concept of an ordering,… … Wikipedia
Dominance-based rough set approach — (DRSA) is an extension of rough set theory for multi criteria decision analysis (MCDA), introduced by Greco, Matarazzo and Słowiński. [1][2][3] The main change comparing to the classical rough sets is the substitution of the indiscernibility… … Wikipedia
Field of sets — Set algebra redirects here. For the basic properties and laws of sets, see Algebra of sets. In mathematics a field of sets is a pair where X is a set and is an algebra over X i.e., a non empty subset of the power set of X closed under the… … Wikipedia
Alexandrov topology — In topology, an Alexandrov space (or Alexandrov discrete space) is a topological space in which the intersection of any family of open sets is open. It is an axiom of topology that the intersection of any finite family of open sets is open. In an … Wikipedia
Interior algebra — In abstract algebra, an interior algebra is a certain type of algebraic structure that encodes the idea of the topological interior of a set. Interior algebras are to topology and the modal logic S4 what Boolean algebras are to set theory and… … Wikipedia
Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… … Wikipedia
Preorder — In mathematics, especially in order theory, preorders are binary relations that satisfy certain conditions. For example, all partial orders and equivalence relations are preorders. The name quasiorder is also common for preorders. Other notations … Wikipedia
Finite topological space — In mathematics, a finite topological space is a topological space for which the underlying point set is finite. That is, it is a topological space for which there are only finitely many points.While topology is mostly interesting only for… … Wikipedia
Specialization (pre)order — In the branch of mathematics known as topology, the specialization (or canonical) preorder is a natural preorder on the set of the points of a topological space. For most spaces that are considered in practice, namely for all those that satisfy… … Wikipedia
