Some topological applications via fuzzy ideals

The major aim of this paper is to present one operator utilizing the fuzzy ideal L, denoted and given as F•Ψ(L):IX→τ, where I denotes the closed unit interval [0,1]. Other concepts such as τ-codensity of a fuzzy ideal, the fuzzy ideal-open sets and fuzzy ideally restrictions are obtained. Particular attention is drawn to the case when L coincides with the fuzzy ideal of fuzzy τ-nowhere dense sets. Moreover, several properties of the above-mentioned concepts are introduced. Possible application to superstrings and space-time is touched upon.