This paper considers fuzzifying topologies, a special case of I-fuzzy topologies (bifuzzy topologies), introduced by Ying [25]. It investigates topological notions defined by means of D -open sets when these are planted into the framework of Ying’s fuzzifying topological spaces (by Łukasiewicz logic in [0, 1]). In this paper we introduce some sorts of operations, called general fuzzifying operations from P(X) to Á(X) , where (X,t) is a fuzzifying topological space. By making use of them we contract neighborhood structures, derived sets, closure operations and

interior operations. © 2012 SciRes. 

Doi:10.4236/am.2012.39146