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

摘要

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.