2010/10/27 by Joaquı́n Luna-Torres, Joaquin Luna-Torres, Luna-Torres, Joaquin +2
Computer Science · Decision Sciences · Mathematics · #06D72 #54A40 #54B10 #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #Rough Sets and Fuzzy Logic #math.GN #msc:06D72 #msc:54A40 #msc:54B10
paper · pdf · doi:10.48550/arxiv.1010.5646
arxiv created 2010/10/27 · openalex publication_date 2010/10/27 · arxiv updated 2010/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
U. Höhle and A. Šostak have developed in \citeHS the category of complete quasi-monoidal lattices; S. E. Rodabaugh in \citeRO proposed its opposite category and with a subcategory C of the latter, he define grounds of the form SET× C. In this paper, for each ground category of the form SET× C, we study categorical frameworks for variable-basis fuzzy filters, particularly the category C-FFIL of variable-basis fuzzy filters, as a natural generalization of the category of fixed-basis fuzzy filters which was introduced in \citeLO. In addition, we get some relations between the category of variable-basis fuzzy filters and the category of variable-basis fuzzy topological spaces.