Abstract We propose the concept of Riemann diamond-alpha integrals for time scales interval-valued functions. first give definition and some properties interval integral that are naturally investigated as an extension nabla delta integrals. With help integral, we present variants Jensen inequalities convex concave functions on arbitrary scale. Moreover, Hölder’s Minkowski’s proved. Also, severa...

In this paper, we propose some new concepts for the sequence of fuzzy-number-valued functions by using notion inner small variation. Then, study characteristics primitives strong fuzzy variational Henstock integrals defined in m-dimensional Euclidean space these concepts. Finally, obtain convergence theorems integrals.

Fuzzy valued measure is a mapping which maps a σalgebra to a set of fuzzy set with convex compact σlevel defined on banach space (β). In this paper, we investigate the notion of decomposition and representation of fuzzy valued measure (F.V.M) is given in the sequence of singular valued measure. Also we have been studied and develop the notion of integrals with the aid of F.V.M under closed inte...