Abstract
This paper provides general analytical formulas for similarity and distinguishabilty measures of fuzzy sets of Cauchy type membership functions. A generalized analytical formula between similarity and possibility measures has also been obtained. A comparison with the case of Gaussian fuzzy sets ensures interesting monotonic characteristic charts for Cauchy type fuzzy sets compared with those of Gaussian fuzzy sets. This result represents a significant guide for building interpretable fuzzy models by adopting suitable forms of fuzzy sets as linguistic values based on their characteristic charts.
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