Partially ordered set - Wikipedia, the free encyclopedia
In mathematics, especially order theory, a partially ordered set (or poset) formalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set.
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A partially ordered set (or poset) is a set taken together with a partial Trotter, W. T. Combinatorics and Partially Ordered Sets: Dimension Theory.
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CHAPTER 4: PARTIALLY ORDERED SETS WILLIAM T. TROTTER AND MITCHEL T. KELLER Abstract. When humans are asked to express preferences among a set of options, they often report that establishing a ranked list is difficult if not impossible.
www.math.gatech.edu/~trotter/chapter-4.pdf
partially ordered set ( ′pärshəlē ¦ōrdərd ′set ) ( mathematics ) A set on which a partial order is defined In mathematics, especially order theory, a partially ordered set (or poset) formalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set.
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Greatest element. In mathematics, especially in order theory, the greatest element of a subset S of a partially ordered set is an element of S which is greater than or equal to any other element of S. Formally, given a partially ordered set (P, ≤), the an element g of a subset S of P is the greatest element of S if...
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Also known as partially ordered set.
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Definition of partially ordered set, possibly with links to more information and implementations. Cite this as: Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "partially ordered set", in Dictionary of Algorithms and Data Structures [online], Paul E. Black,
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Title: The Redheffer matrix of a partially ordered set Authors: Herbert S. Wilf Categories: math.CO Combinatorics MSC: 05A15...
front.math.ucdavis.edu/0408.5263
rdfs:label Generating All Forest Extensions of a Partially Ordered Set. (xsd:string)
dblp.l3s.de/d2r/resource/publications/conf/ciac/Szwarcf... dblp.l3s.de/d2r/resource/publications/conf/ciac/Szwarcfiter03b
rdfs:label An Access Control Scheme for Partially Ordered Set Hierarchy with Provable Security. (xsd:string)
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