M-Fuzzifying Approximation Spaces, M-Fuzzifying Pretopological Spaces and M-Fuzzifying Closure Spaces

Anand P. Singh and I. Perfilieva ()
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Anand P. Singh: Institute for Research and Applications of Fuzzy Modeling, CE IT4Innovations, University of Ostrava, 30. dubna 22, 701 03 Ostrava 1, Czech Republic
I. Perfilieva: Institute for Research and Applications of Fuzzy Modeling, CE IT4Innovations, University of Ostrava, 30. dubna 22, 701 03 Ostrava 1, Czech Republic

New Mathematics and Natural Computation (NMNC), 2020, vol. 16, issue 03, 609-626

Abstract: In category theory, Galois connection plays a significant role in developing the connections among different structures. The objective of this work is to investigate the essential connections among several categories with a weaker structure than that of M-fuzzifying topology, viz. category of M-fuzzifying approximation spaces based on reflexive M-fuzzy relations, category of M-fuzzifying pretopological spaces and the category of M-fuzzifying interior (closure) spaces. The interrelations among these structures are shown via the functorial diagram.

Keywords: Concrete functor; Galois connection; M-fuzzifying approximation space; M-fuzzifying pretopological space; Čech M-fuzzifying interior (closure) operators (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S1793005720500374

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