TY - JOUR
T1 - On Intuitionistic Fuzzy Soft Pretopology
AU - Azzam, A. A.
AU - Abu-Gdairi, Radwan
AU - Aldawood, M.
AU - Alotaibi, Abdulaziz M.
N1 - Publisher Copyright:
© 2024 the author(s).
PY - 2024
Y1 - 2024
N2 - This paper defines the following terms: intuitionistic fuzzy soft (IFS) pretopological space, IFS interior function, IFS pre-open set, IFS pre-closed set, trace of a IFS pretopology, IFS separation axioms, IFS subspace, IFS compactness, IFS connectedness, and some of their properties. In addition, the degree of soft non-vacuity, the soft α-cut, and the IFS preneighbourhood system at a soft point are defined. IFS preneighbourhoods produce IFS pretopologies.
AB - This paper defines the following terms: intuitionistic fuzzy soft (IFS) pretopological space, IFS interior function, IFS pre-open set, IFS pre-closed set, trace of a IFS pretopology, IFS separation axioms, IFS subspace, IFS compactness, IFS connectedness, and some of their properties. In addition, the degree of soft non-vacuity, the soft α-cut, and the IFS preneighbourhood system at a soft point are defined. IFS preneighbourhoods produce IFS pretopologies.
KW - IFS compactness
KW - IFS connectedness
KW - IFS interior function
KW - IFS pre-open set
KW - IFS preneighbourhood system
KW - IFS pretopological space
UR - http://www.scopus.com/inward/record.url?scp=85208438529&partnerID=8YFLogxK
U2 - 10.28924/2291-8639-22-2024-193
DO - 10.28924/2291-8639-22-2024-193
M3 - Article
AN - SCOPUS:85208438529
SN - 2291-8639
VL - 22
JO - International Journal of Analysis and Applications
JF - International Journal of Analysis and Applications
M1 - 193
ER -