Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Some mathematical aspects of fuzzy sets: triangular norms, fuzzy logics, and generalized measures
Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
IEEE Transactions on Pattern Analysis and Machine Intelligence
Neural Networks: A Comprehensive Foundation
Neural Networks: A Comprehensive Foundation
Modern Information Retrieval
Analysis of Symbolic Data: Exploratory Methods for Extracting Statistical Information from Complex Data
Shape Similarity Measures, Properties and Constructions
VISUAL '00 Proceedings of the 4th International Conference on Advances in Visual Information Systems
On (un)suitable fuzzy relations to model approximate equality
Fuzzy Sets and Systems - Theme: Basic notions
A new distributed data mining model based on similarity
Proceedings of the 2003 ACM symposium on Applied computing
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The notions of similarity and dissimilarity are widely used in many fields of Artificial Intelligence. They have many different and often partial definitions or properties, usually restricted to one field of application and thus incompatible with other uses. This paper contributes to the design and understanding of similarity and dissimilarity measures for Artificial Intelligence. A formal dual definition for each concept is proposed, joined with a set of fundamental properties. The behavior of the properties under several transformations is studied and revealed as an important matter to bear in mind. We also develop several practical examples that work out the proposed approach.