Abstract—Fuzzy Similarity measures are used to compare
different kinds of objects such as images. Their definitions
are based on proximity measures, operations on fuzzy sets etc.
which makes different propositions of properties of similarity
measures. Consequently, the latter are not common for all
similarity measures presented in literature. In this paper we
present and discuss the properties of fuzzy similarity and
distance measures. We present fuzzy similarity measures from
literature and we discuss their validation to the common existing
properties.
In order to compare and show the differences between fuzzy
similarity measures, we apply them to three applications using
different data sets defined with fuzzy attributes. The obtained
results are good for most existing similarity measures, but
some measures give best results and some others worst results.
Therefore, relationships between obtained results and measures
validation to their properties are discussed to know the influence
of some properties on the results.
Index Terms—similarity measures, distance measures, fuzzy
sets, Arabic sentence recognition, classification of shapes, similarity
measure properties, distance measure properties, mosaic
recognition.