SET THEORETIC MODELS FOR CLASSIFICATION AND RETRIEVAL,

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SET THEORETIC MODELS FOR CLASSIFICATION AND RETRIEVAL,

Richard Jernigan,Alfred G. Dale-1964-11-01-Defense Technical Information Center (DTIC)

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TL;DRAbstract

The appropriateness of lattice models as analogues of classification and retrieval systems is analyzed. Models considered include simple distributive lattices, and implicative and subtractive lattices. A particular topological model is also considered. It is shown that any set of topological axioms will be reducible to a Boolean algebra when applied to finite spaces. (Author)

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The appropriateness of lattice models as analogues of classification and retrieval systems is analyzed. Models considered include simple distributive lattices, and implicative and subtractive lattices. A particular topological model is also considered. It is shown that any set of topological axioms will be reducible to a Boolean algebra when applied to finite spaces. (Author)

Keywords

AxiomSubtractive colorMathematicsDistributive latticeLattice (music)Set (abstract data type)Distributive propertyAlgebra over a field

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