Fuzzy topological spaces

摘要: The concept of a fuzzy set, which was introduced in [l], provides a natural framework for generalizing many of the concepts of general topology to what might be called fuzzy topological spaces. In the interest of brevity, we shall confine our attention in this note to the more basic concepts such as open set, closed set, neighborhood, interior set, continuity and compactness, following closely the definitions, theorems and proofs given in Kelly [2]. Our notation and terminology for fuzzy sets follow that of Zadeh [I].