In this paper, a new approach for solving the second order fuzzy differential equations (FDE) with fuzzy initial value, under strongly generalized H-differentiability is presented. Solving first order fuzzy differential equations by extending 1-cut solution of the original problem and solving fuzzy integro-differential equations has been investigated by some authors (see for example cite{darabi...

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In this paper, we defined the interval form of \(\alpha, \beta\) level set for triangular q-rung orthopair fuzzy (qROPF) number. To obtain a differentiability notion qROPF valued functions, Hukuhara (H-differentiability) and level-wise H-differentiability is defined. Using KKT optimality condition optimization problem with objective function are formulated.

We analyze the optimal value function v associated with a general parametric optimization problem via theory of viscosity solutions. The novelty is that we obtain regularity properties by showing it solution to set first-order equations. As consequence, in Banach spaces, provide sufficient conditions for local and global Lipschitz v. also derive, finite dimensions, optimality through comparison...

We consider the optimal control of initial-boundary value problems for entropy solutions of scalar hyperbolic conservation laws. In particular, we consider initial-boundary value problems where the initial and boundary data switch between different C-functions at certain switching points and both, the functions and the switching points, are controlled. We show that the control-tostate mapping i...