Fuzzy metrics and color image filtering

Occasionally, advances in the properties of fuzzy metrics are hindered because only a few examples of fuzzy metrics are known and so their application in Engineering methods is limited. To overcome both inconveniences, in this paper we provide some new examples of fuzzy metrics. Also we show how to apply fuzzy metrics in engineering methods. In this sense we evaluate the proximity of two pixels of a color image by means of a fuzzy metric which combines two fuzzy metrics associated to two distinct proximity criteria, respectively. As a result, the image processing filter built works better than other classical ones.