On partial fuzzy metric-preserving functions

The target of this paper is to present partial fuzzy metric-preserving functions and characterize the functions f:[۰,۱]\to[۰,۱] with this aspect. We give a characterization for partial fuzzy  metric-preserving functions considering the different t-norms. Also, we show that the topology induced by partial fuzzy metric does not preserve under these functions with  an example. Then we  give a characterization of those partial fuzzy metric-preserving functions which preserve completeness and contractivity under some conditions. Finally, we discussed the relation between fuzzy  metric preserving and partial fuzzy preserving functions.

کلیدواژه ها:

fuzzy partial metric spaces ، metric-preserving functions ، contraction mapping ، Completeness