We explore a new fuzzy metric constructed from already defined fuzzy metrics over the same set using pseudo-linear combination. Operations used in pseudo-linear combination are triangular norm and conorm. The fuzzy space thus obtained is proved to be complete. Additional features related to this space are also presented. A fuzzy metric obtained in this way can be used to construct an image denoising procedure, from the fuzzy metrics used for the spatial distance and the color similarity measure between the pixels in the image. The goal is to enhance the sharpness and quality of the image, expressed and measured by the image quality index.