• Title/Summary/Keyword: Galois connections

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Fuzzy Connections and Relations in Complete Residuated Lattices

  • Kim, Yong Chan
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.13 no.4
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    • pp.345-351
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    • 2013
  • In this paper, we investigate the properties of fuzzy Galois (dual Galois, residuated, and dual residuated) connections in a complete residuated lattice L. We give their examples. In particular, we study fuzzy Galois (dual Galois, residuated, dual residuated) connections induced by L-fuzzy relations.

Pointless Form of Rough Sets

  • FEIZABADI, ABOLGHASEM KARIMI;ESTAJI, ALI AKBAR;ABEDI, MOSTAFA
    • Kyungpook Mathematical Journal
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    • v.55 no.3
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    • pp.549-562
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    • 2015
  • In this paper we introduce the pointfree version of rough sets. For this we consider a lattice L instead of the power set P(X) of a set X. We study the properties of lower and upper pointfree approximation, precise elements, and their relation with prime elements. Also, we study lower and upper pointfree approximation as a Galois connection, and discuss the relations between partitions and Galois connections.