descriptive set theory, the analytical hierarchy is an extension of the arithmetical hierarchy. The analytical hierarchy of formulas includes formulas...

In the theory of decision making, the analytic hierarchy process (AHP), also analytical hierarchy process, is a structured technique for organizing and...

hyperarithmetical hierarchy and the analytical hierarchy extend the arithmetical hierarchy to classify additional formulas and sets. The arithmetical hierarchy assigns...

classified by the projective hierarchy are exactly the sets classified by the relativized version of the analytical hierarchy. This relationship is important...

slightly different hierarchies. For instance, there is one hierarchy which is primarily used in theoretical phonology, while a similar hierarchy is used in discourse...

example showing the use of the analytic hierarchy process (AHP) in a practical decision situation. See Analytic hierarchy process#Practical examples for...

Analytical Planning: The Organization of Systems, with Kevin P. Kearns, ISBN 0-08-032599-8, Pergamon 1989 Conflict Resolution: The Analytic Hierarchy...

arithmetical hierarchy and analytical hierarchy from mathematical logic. The union of the classes in the hierarchy is denoted PH. Classes within the hierarchy have...

that are being arranged hierarchically (e.g., an administration) Dimension: another word for "system" from on-line analytical processing (e.g. cubes)...

difference (Δ) Non-inferiority margin (δ) Δm n, a class of sets in the analytical hierarchy, for every natural number m, n Delta (ligand), an activator of the...

The analytic network process (ANP) is a more general form of the analytic hierarchy process (AHP) used in multi-criteria decision analysis. AHP structures...

the pre-analytical choices of the observer. Instead of analyzing the whole structure, hierarchy theory refers to the analysis of hierarchical levels,...

iterated Π 1 1 {\displaystyle \Pi _{1}^{1}} -comprehension (see Analytical hierarchy). A fully specified extension beyond the recursive ordinals is thought...

Look up analytic, analytical, or analyticity in Wiktionary, the free dictionary. Analytic or analytical may refer to: Analytical chemistry, the analysis...

Symposium on the Analytic Hierarchy Process (ISAHP) is a biennial conference on multi-criteria decision analysis, particularly the analytic hierarchy process (AHP)...

counterpart Σ 1 1 {\displaystyle \Sigma _{1}^{1}} (see analytical hierarchy). The complements of analytic sets are called coanalytic sets, and the set of coanalytic...

in the lightface Borel hierarchy if and only if it is at level Δ 1 1 {\displaystyle \Delta _{1}^{1}} of the analytical hierarchy. These sets are also called...

"Prioritization of key performance indicators: An integration of analytical hierarchy process and goal setting". International Journal of Productivity...

definitions of arithmetical and analytical reals can be stratified into the arithmetical hierarchy and analytical hierarchy. In general, a real is computable...

of hierarchies of classical descriptive set theory. Thus the hyperarithmetic hierarchy is studied instead of the Borel hierarchy, and the analytical hierarchy...

a value function or using the concept of "outranking relations", analytical hierarchy process, and some rule-based decision methods try to solve multiple...

Hyperarithmetical hierarchy Analytical hierarchy In set theory or logic: Borel hierarchy Difference hierarchy Wadge hierarchy Abstract algebraic hierarchy We may...

set Descriptive set theory Analytic set Analytical hierarchy Borel equivalence relation Infinity-Borel set Lightface analytic game Perfect set property...

Expert Choice and developed the first commercial implementation of the Analytic Hierarchy Process. Forman's work has been focused on executive decision-making...

sets uses the analytical hierarchy. A set of natural numbers is classified at level Σ 1 1 {\displaystyle \Sigma _{1}^{1}} of this hierarchy if it is definable...

\Sigma _{n}^{1}} , sets in the analytical hierarchy Σ i P {\displaystyle \Sigma _{i}^{P}} , a set in the polynomial hierarchy Harish-Chandra's σ function...

for the complexity of a given formula in the arithmetical hierarchy and analytical hierarchy. The algorithm is named after Alfred Tarski and Kazimierz...

n, a set in the arithmetical hierarchy Π1 n, a set in the analytical hierarchy ΠP i, a set in the polynomial hierarchy Π(x) (Pi function), the Gamma...

of compact sets (see Hausdorff distance), was located inside the analytical hierarchy. A crucial part in this research is played by the index of the set...

treatment can be applied to the projective hierarchy. Its lightface analog is known as the analytical hierarchy. Each class is at least as large as the classes...