G. Cz 'edli's tolerance factor lattice construction, and weak ordered\n relations

2019/09/13 by Sändor Radeleczki, Radeleczki, Sándor
Computer Science · #06B05 #06B15 #Advanced Algebra and Logic #FOS: Mathematics #Primary: 06B23 #Rings and Algebras (math.RA) #Rough Sets and Fuzzy Logic #Secondary: 06A15

paper · pdf · doi:10.48550/arxiv.1909.06097

openalex publication_date 2019/09/13 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

The main results of the paper points out the connection between the weak\nordered relations and factor lattices defined by tolerances. It is proved that\nfor any tolerance T of a lattice L the Dedekind-Mac Neille completion of\nL/T is isomorphic to the concept lattice \L(L,L,R) of the context\n(L,L,R), where R:= \≤ \∘ T\∘ \≤ .\n

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