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# Indicator of inclusion grade for interval-valued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets

@article{Bustince2000IndicatorOI, title={Indicator of inclusion grade for interval-valued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets}, author={Humberto Bustince}, journal={Int. J. Approx. Reasoning}, year={2000}, volume={23}, pages={137-209} }

- Published 2000 in Int. J. Approx. Reasoning
DOI:10.1016/S0888-613X(99)00045-6

We begin the paper studying the axioms that the indicators of the grade of inclusion of a fuzzy set in another fuzzy set must satisfy. Next, we present an expression of such indicator, ®rst for fuzzy sets and then for interval-valued fuzzy sets, analyzing in both cases their main properties. Then, we suggest an expression for the similarity measure between interval-valued fuzzy sets. Besides, we study two methods for inference in approximate reasoning based on interval-valued fuzzy sets, the… CONTINUE READING

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