TY - JOUR
ID - 708414
TI - Basis of Fuzzy Generalized Topological Space
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Razouki, Abdelhak
AD - Department of Mathematics and Computer Science, Faculty of Sciences Dhar El mahraz, Sidi Mohamed Ben Abdellah University, B.P. 1769-Atlas Fez, Morocco.
Y1 - 2024
PY - 2024
VL - 21
IS - 1
SP - 347
EP - 361
KW - Fuzzy sets
KW - Fuzzy generalized
KW - Basis
KW - Cotopology
KW - continuity
KW - Weakly fuzzy
KW - Openness
KW - Closedness
KW - Gradation
KW - product
DO - 10.22130/scma.2023.1983362.1221
N2 - This paper studies the concept of fuzzy generalized topologies, which are generalizations of smooth topologies and Chang's fuzzy topologies. A basis of fuzzy generalized topological space will be defined as functions from the family of all fuzzy subsets of a non-empty set $ X $ to $ [0, 1] $ and some basic properties of their structure will be obtained. Some characterizations of the basis of fuzzy generalized topology, fuzzy generalized cotopology and the product of fuzzy generalized topological spaces will also be shown.
UR - https://scma.maragheh.ac.ir/article_708414.html
L1 - https://scma.maragheh.ac.ir/article_708414_51e4c5d0e27b50f8a3a396407c6a569f.pdf
ER -