In this paper we present the algebraic and topological structure of one-sided fuzzy numbers
and introduce the notion of side preserving fuzzy-number-valued function. We define the
dual decomposition of a commutative monoid and prove that the sets of left-sided fuzzy
numbers and right-sided fuzzy numbers realize a dual decomposition of the additive monoid
of all fuzzy numbers. We prove the usefulness of right-sided fuzzy numbers in epidemiology
presenting an application of these fuzzy numbers to a mathematical model for the spread of …