Some Notes on Fuzzy Similarity Measures and Application to Classification of Shapes, Recognition of Arabic Sentences and Mosaic
نویسندگان
چکیده
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.
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