Total orderings in the range of fuzzy sets can serve as choice criteria for fuzzy sets, a wide class of orderings based on functions is proposed (section 2). Decomposable measures are taken to measure the items on which the fuzzy sets are given (section 3). Combining the two levels of measurement by means of the integral introduced by the second author we obtain evaluations of fuzzy sets as functionals with appropriate properties, the concepts of energy and fuzziness are included (section 4).
@article{urn:eudml:doc:38976,
title = {Evaluations of fuzzy sets based on orderings and measures.},
journal = {Stochastica},
volume = {11},
year = {1987},
pages = {35-44},
zbl = {0658.04005},
mrnumber = {MR0970261},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38976}
}
Ventre, Aldo; Weber, Siegfried. Evaluations of fuzzy sets based on orderings and measures.. Stochastica, Tome 11 (1987) pp. 35-44. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38976/