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This article analyzes the quotient space of compact intervals of ℝ with respect to the family of symmetric intervals. We analyze some algebraic and topological properties of this quotient space. Since the space of compact intervals can be embed on this quotient space, we introduce a concept of differentiability for interval-valued functions and then, we make a comparison with other concepts of differentiability...
The present article presents new Ostrowski type inequalities for generalized Hukuhara differentible fuzzy-valued functions. As a consequence of this inequalities we present an error estimation to Riemann-type quadrature rule for fuzzy-valued functions.
In this paper we consider optimization problems with fuzzy-valued objective function. For this class of fuzzy optimization problems we obtain Karush-Kuhn-Tucker type optimality conditions considering the concept of strongly generalized differentiable fuzzy-valued functions.
In this paper we study fuzzy differential equations with generalized derivative. We obtain some properties of the generalized derivative. We discuss the equivalence of the fuzzy Cauchy problem and an Aumann-type integral equation. This study also makes some observations on the existence of solutions.
In this paper we study fuzzy differential equations with generalized derivative. We obtain some properties of the generalized derivative. We discuss the equivalenc of the fuzzy Cauchy problem and an Aumann-type integral equation. This study also makes some observations on the existence of solutions.
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