Fuzzy sets, uncertainty, and information
Fuzzy sets, uncertainty, and information
Comparison of clusters from fuzzy numbers
Fuzzy Sets and Systems
Similarity relations, fuzzy linear orders, and fuzzy partial orders
Fuzzy Sets and Systems
Cluster analysis based in fuzzy relations
Fuzzy Sets and Systems - Special issue on clustering and learning
Generalized fuzzy indices for similarity matching
Fuzzy Sets and Systems - Special issue on clustering and learning
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
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Features Contrast Model (FCM) and Fuzzy Features Contrast Model (FFCM) are usually used to evaluate the similarity between objects. The universe of discourse is defined by two sets: A, the set of objects; and E, the set of features. A matrix is defined, which elements represent the degree in which an object verifies a feature, namely, the membership values in fuzzy terms. A classical generalization of crisp similarity indexes is well known but using some crisp properties before make the generalization, for this reason it can be said weak generalization. Y. A. Tolias et al, made a strong generalization but it does not include all the usual indexes, as simple matching or Rao's coefficients. This generalization is the goal of this paper. Some reliable conditions are proved and conditions to define a proximity relation in A are found.