Yurilev Chalco-Cano

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We study the Cauchy problem for differential equations, considering its parameters and/or initial conditions given by fuzzy sets. These fuzzy differential equations are approached in two different ways: (a) by using a family of differential inclusions; and (b) the Zadeh extension principle for the solution of the model. We conclude that the solutions of the(More)
In this paper, we study the class of fuzzy differential equations where the dynamics is given by a continuous fuzzy mapping which is obtained via Zadeh’s extension principle. We get a fuzzy solution for this class of fuzzy differential equations and several illustrative examples are presented. We also give some properties and we show the relationships with(More)
In this paper, we give some optimal upper bounds for the Sugeno’s integral of monotone functions. More precisely, we show that: If g : [0,1)! [0,1) is a continuous and strictly monotone function, then the fuzzy integral value p 1⁄4 R a 0 gdl, with respect to the Lebesgue measure l, verifies the following sharp inequalities: 0096-3 doi:10 q Th 4731-0 * Co(More)
A class of goodness-of-fit tests based on the empirical characteristic function is studied. They can be applied to continuous as well as to discrete or mixed data with any arbitrary fixed dimension. The tests are consistent against any fixed alternative for suitable choices of the weight function involved in the definition of the test statistic. The(More)