In this study, a fuzzy Laplace transform is used to solve second order linear homogeneous ordinary differential equations. The solution obtained based on the concept of gH differentiability and relation between its derivative for obtained. Examples are constructed existence uniqueness solutions FODE.

space. For ( ) 1 h L X ∈ ,Γ,μ and Z∈Γ with indicator function ( ) Z I L X ∞ ∈ ,Γ, , μ the integral Z h ∫ dμ will be denoted by Z h I , . Now, we shall define the notion of differentiability for n-set functions. Morris [7] introduced differentiability for set functions and Corley [4] defined this notion for n -set functions. A function : Γ→ φ ! is said to be differentiable at T if there exists (...

In this paper, we investigate a class of fuzzy CohenGrossberg neural networks with time delays and impulsive effects. By virtue of stochastic analysis, Halanay inequality for stochastic differential equations, we find sufficient conditions for the global exponential square-mean synchronization of the FCGNNs under noise perturbation. In particular, the traditional assumption on the differentiabi...

Two functional equations are considered that are motivated by three considerations: work in utility theory and psychophysics, questions concerning when pairs of degree 1 homogeneous functions can be homomorphic and calculating their homomorphisms, and the link of the latter questions to quasilinear mean values. The first equation is h(σ(y)x + [1 - σ(y)]y) = τ(y)h(x) + [1 - τ(y)]h(y) (x ≥ y ≥ 0)...

In the present use of fuzzy logic systems tuning of their parameters has become an important issue. Many techniques, mainly based on the application of gradient descent, have been applied to this task generally in order to minimize a quadratic error function. The class of fuzzy logic systems using piecewise linear membership functions (e.g., triangular or trapezoidal) and/or minimum or maximum ...

Rule based systems for Fuzzy Control, Fuzzy Supervising and Fuzzy Diagnosis are non-linear multi-input, multi-output systems. The result of the signal processing within the system is a high dimensional characteristic field. For optimizing the behaviour of the system, we have a high number of fiee degrees. The reconstruction of the knowledge base from the characteristic field as starting point i...

In this paper, we study semi-analytical methods entitled Homotopy pertourbation method (HPM) to solve fuzzy impulsive fractional differential equations based on the concept of generalized Hukuhara differentiability. At the end first of Homotopy pertourbation method is defined and its properties are considered completely. Then econvergence theorem for the solution are proved and we will show tha...

In this article, we establish the existence and uniqueness of (c1)-differentiable (c2)- differentiable solutions to first-order nonlinear impulsive fuzzy differential equations under generalized Hukuhara differentiability using contraction mappings principle. particular, are written as hyperbolic cosine sine functions with terms, which is main difficulty. An example provided prove our results.