We use the concept of t-norms and conorms to develop a pseudo metric and we then use this pseudo metric to define a class of measures of fuzziness associated with a fuzzy set. We investigate the properties of this class of measures of fuzziness.
@article{urn:eudml:doc:38866, title = {Measures of fuzziness based on t-norms.}, journal = {Stochastica}, volume = {6}, year = {1982}, pages = {207-229}, zbl = {0541.94043}, mrnumber = {MR0705764}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38866} }
Yager, Ronald R. Measures of fuzziness based on t-norms.. Stochastica, Tome 6 (1982) pp. 207-229. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38866/