Abstract
Many types of fuzzy truth values have been proposed, such as numerical
truth values, interval truth values, triangular truth values and
trapezoid truth values and so on. Recently, other type of fuzzy truth
values (which are called multi-interval truth values) have been
proposed and discussed. The characteristic feature of multi-interval
truth values is that some of the truth values are not convex. This fact
makes the algebraic structures of multi-interval truth values be
complex. So, this paper clarifies some of the properties on functions
over multi-interval truth values, when the number of variables and the
number of non-convex multi-interval truth values are restricted.
