In the present paper, we introduce fuzzifying soft topology which is defined over an initial universe with a fixed set of parameters. The notions of fuzzifying soft closed sets, fuzzifying soft neighborhood system of a soft point, fuzzifying soft derived, fuzzifying soft closure, and fuzzifying soft interior are introduced and their basic properties are investigated. Furthermore, we define the notions of fuzzifying soft θ-neighborhood system of a soft point, fuzzifying soft θ-derived, fuzzifying soft θ-closure, and fuzzifying soft θ-interior and investigate their properties. Finally, a fuzzifying soft continuity, a fuzzifying soft strong θ-continuity, and fuzzifying soft θ-continuity are given and some of their basic properties are studied.

Copyright © 2022 by TJM. All rights reserved.