This paper extends the notion of fuzzy similarity measure between fuzzy sets. A definite class of fuzzy similarity measures between fuzzy sets is also introduced. Using some theorems and examples, it is shown that the introduced extended similarity measures satisfy many common and desired properties, based on the common axiomatic definitions, introduced for fuzzy similarity measures. Some illustrative and practical examples from the areas of pattern recognition and approximate reasoning systems are provided in order to present the possible applications of the proposed fuzzy similarity measures.
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