# partially ordered set

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## partially ordered set

[′pär·shə·lē ¦ōr·dərd ′set]
(mathematics)
A set on which a partial order is defined. Also known as poset.

## partially ordered set

References in periodicals archive ?
Rodriguez-Lopez, "Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations," Order, vol.
Let (Eq.) be a partially ordered set and (Eq.) According to [BhashkarL], if F is monotone non-decreasing in x and monotone non-increasing in ,y then F is said to have mixed monotone property, that is, for any (Eq.),
[11] Suppose (X, [less than or equal to]) is a partially ordered set and F, g : X [right arrow] X are mappings of X into itself.
Example 1.1: Let N(P) = {0, 1, I, I [union] 1 = 1 + I, a, aI} be a partially ordered set; N(P) is a neutrosophic lattice.
Based on the partial-edge order, we can construct a Hasse diagram, which is a directed graph that represents a partially ordered set (poset).
Therefore, to solve the problem of selecting the staff members, the top k elements among the objects in a partially ordered set need to be computed, and a hybrid approach that combines the benefits of Skyline and Top-k is required.
The last of the three realizations uses the graph of the partially ordered set to determine a total ordering.
We also use the notions of a partially ordered set,
Let [member of] be a partially ordered set with a partial order '[less than or equal to]' and let (E, p, [less than or equal to]) be a partially ordered hyperbolic metric space.
Key Words: Partially ordered set, -symmetric property, mixed g -monotone property, Compatible maps, Couple random coincidence point.
Recall that on a partially ordered set (X, [less than or equal to]) a map T : X [right arrow] X is nondecreasing if it satisfies Tx [less than or equal to] Ty for all x, y [member of] X such that x [less than or equal to] y.
Let (X, [less than or equal to]) be a partially ordered set. A self mapping T : X [right arrow] X is said to be monotone nondecreasing if Tx [less than or equal to] Ty whenever x [less than or equal to] y, x, y [member of] X.

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