Integration in Metric Semigroups
Pp. 198-212 (15)
Antonio Boccuto, Beloslav Riecan and Marta Vrabelova
In this chapter we present a Kurzweil-Henstock-type integral for metric semigroup-valued functions, defined
on (possibly unbounded) subintervals of the extended real line. An example of a metric semigroup which is not a group
is the set of all fuzzy numbers.
Besides the elementary properties we prove a version of the Henstock lemma and some convergence theorems in this