In this note we show that the example presented in a recent paper by Ghazanfari et al. is incorrect. Namely, the " exact solution " suggested by the authors is not solution of the given fuzzy differential equation (FDE). Indeed, the authors have proposed an exact solution which is independent from the initial condition. So, we obtain the correct exact solution using the characterization theorem...

Abstract In this paper we present a review of the most important notions and characterizations differentiability necessary optimality conditions for fuzzy multiobjective problem. As basis review, first study fundamental aspects interval valued functions, since environment are closely related. Those related to different definitions difference intervals their drawbacks, interval-valued functions ...

Research in the theory of functions an h-complex variable is interest connection with existing applications non-Euclidean geometry, theoretical mechanics, etc. This article devoted to study properties h-differentiable functions. Criteria for h-differentiability and h-holomorphy are found, formulated proved a theorem on finite increments h-holomorphic function. Sufficient conditions h-analyticit...

In the fuzzy arithmetic, the definitions of addition and multiplication of fuzzy numbers are based on Zadeh’s extension principle. From theoretical and practical points of view, this multiplication of fuzzy numbers owns several unnatural properties. Recently, to avoid this shortcoming, a new multiplicative operation of product type is introduced, the so-called cross-product of fuzzy numbers. Th...

The main purpose of this study is to introduce a new double fuzzy transform called the Sawi transform. A proof some basic properties single and are provided. These results implemented obtain exact solution non-homogeneous linear telegraph equation under generalized Hukuhara partial differentiability. In addition, by using symmetric triangular numbers, numerical examples given demonstrate validi...

The fuzzy set theory introduced by Zadeh has emerged as an interesting and fascinating branch of pure and applied sciences. The applications of fuzzy set theory can be found in many branches of regional, physical, mathematical, differential equations andengineering sciences. Recently, the authors have made important research results in the theory of fuzzy differentialequations, integrodifferent...

The present paper investigates the sensitivity analysis, with respect to right-hand source term perturbations, of a scalar Tresca-type problem. This simplified, but nontrivial, model is inspired from (vectorial) Tresca friction problem found in contact mechanics. weak formulation considered leads variational inequality second kind depending on perturbation parameter. unique solution this then c...