For the shortcoming of fuzzy c-means algorithm (FCM) needing to know the number of clusters in advance, this paper proposed a new self-adaptive method to determine the optimal number of clusters. Firstly, a density-based algorithm was put forward. The algorithm, according to the characteristics of the dataset, automatically determined the possible maximum number of clusters instead of using the...

This paper compares recognition methods for two Old Slavic Cyrillic alphabets: Macedonian and Bosnian. Two novel methodologies for recognition of Old Macedonian letters are already implemented and experimentally tested by calculating their recognition accuracy and precision. The first method is based on a decision tree classifier realized by a set of rules and the second one is based on a fuzzy...

Summary . IF-THEN rules in fuzzy inference is composed of multiple sets (membership functions). can therefore be considered as a pair membership functions [7]. The evaluation function control composite with approximate reasoning and functional on the set functions. We obtained continuity compactness [12]. Therefore, we proved existence functions, which maximizes (minimizes) rules, by using extr...

Fuzzy clustering has been used widely in education, statistics, engineering, communication...etc. The fuzzy partition clustering algorithms are most based on Euclidean distance function, which can only be used to detect spherical structural clusters. Extending Euclidean distance to Mahalanobis distance, GustafsonKessel (GK) clustering algorithm and Gath-Geva (GG) clustering algorithm were devel...

Compactness and closedness are some of the important properties for studying topological spaces. Several types of these concepts (semi-compactness, pre-compactness, β-compactness,. . ., S-closedness, H-closedness, etc) occur in the literature. In this paper, we applied concept of φ operation which defined by Csaszar [8] to unify and generalized several characterizations and properties of lots o...