Basis of Fuzzy Generalized Topological Space

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 [۰, ۱] 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.

کلیدواژه ها:

Fuzzy sets ، Fuzzy generalized ، Basis ، Cotopology ، continuity ، Weakly fuzzy ، Openness ، Closedness ، Gradation ، product