This paper focuses on the possible embedding of the uncertainty regarding the colors of an image into histogramtype descriptors. The uncertainty naturally arises from both the quantization of the color components and the human perception of colors. Fuzzy histograms measure the typicality of each color within the image. We define various fuzzy color histograms following a taxonomy that classifie...

Fuzzy clustering techniques handle the fuzzy relationships among the data points and with the cluster centers (may be termed as cluster fuzziness). On the other hand, distance measures are important to compute the load of such fuzziness. These are the two important parameters governing the quality of the clusters and the run time. Visualization of multidimensional data clusters into lower dimen...

Euclidean distance (ED) calculates the between n-coordinate points that n equals dimension of space these are located. Some studies extended its application to measure difference fuzzy numbers (FNs).This study shows this extension is not logical because although an point and FN denoted same, they conceptually different. An defined by components; however, equal where This illustrates misapplicat...

Edit distance, also known as Levenshtein distance, is a very useful tool to measure the similarity between two strings. It has been widely used in many applications such as natural language processing and bioinformatics. In this paper, we introduce a new type of fuzzy public key encryption called Edit Distance-based Encryption (EDE). In EDE, the encryptor can specify an alphabet string and a th...

Intuitionistic fuzzy sets (IFSs), as a representative variant of sets, has substantial advantages in managing and modeling uncertain information, so it been widely studied applied. Nevertheless, how to perfectly measure the similarities or differences between IFSs is still an open question. The distance metric offers elegant desirable solution such Hence, this paper, we propose new measure, nam...

As Similarity measure for fuzzy sets is one of the important research topics of fuzzy set theory, there are several methods to measure similarity between two fuzzy sets (FS), Intuitionistic fuzzy sets (IFS) and Intuitionistic fuzzy multi sets (IFMS). In this paper, the Normalized Hamming Similarity measure of Intuitionistic Fuzzy Multi sets (IFMS) is introduced. This new measure for IFMS is bas...