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Initial fuzzy soft closure structures. (English) Zbl 1438.54056

Summary: In this paper, we introduce the notions of fuzzy soft interior spaces and fuzzy soft closure spaces. In particular, we prove the existence of initial fuzzy soft interior structures and initial fuzzy soft closure structures. From this fact, the category FSC is a topological category over SET.

MSC:

54A40 Fuzzy topology
54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
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