Abstract: | In this paper we introduce a new closure-like operator in fuzzy topological spaces, via fuzzy preopen sets. Then mutual relationships of this operator with several closure opera-tors in fuzzy topological spaces, studied in [2, 3, 4, 6, 7, 8, 11, 12] are established. The newly introduced operator is idempotent in fuzzy spaces satisfying some regularity prop-erty with respect to this operator, but it is not idempotent in general. Some characteriza-tions of the new operator via nets are given in the last section. |
