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- Heriberto Román-Flores, A. Flores-Franulic, Yurilev Chalco-Cano
- Inf. Sci.
- 2007

In this paper, we show a Jensen type inequality for the Sugeno integral. We also discuss some conditions assuring the satisfaction of opposite inequality (reverse Jensen inequality). 2007 Elsevier Inc. All rights reserved.

- Heriberto Román-Flores, A. Flores-Franulic, Yurilev Chalco-Cano
- Applied Mathematics and Computation
- 2008

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)

- Yurilev Chalco-Cano, Heriberto Román-Flores
- Fuzzy Sets and Systems
- 2009

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)

- Heriberto Román-Flores, A. Flores-Franulic, Yurilev Chalco-Cano
- Applied Mathematics and Computation
- 2007

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)

- Yurilev Chalco-Cano, Geraldo Nunes Silva, Antonio Rufián-Lizana
- Fuzzy Sets and Systems
- 2015

- A. Flores-Franulic, Heriberto Román-Flores, Yurilev Chalco-Cano
- Applied Mathematics and Computation
- 2008

- R. Osuna-Gómez, Yurilev Chalco-Cano
- 2003

We give some inequalities of Hadamard and Jensen type for s-convex fuzzy processes. We also give some applications.

- María-Dolores Jiménez-Gamero, V. Alba Fernández, J. Muñoz García, Yurilev Chalco-Cano
- Computational Statistics & Data Analysis
- 2009

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)