Necessary and sufficient optimality conditions for fuzzy variational problems of several dependent variables in terms of fuzzy granular derivatives (Q6535292)

Using fuzzy interpretations of classical concepts (limit, derivative, integral and convexity), fuzzy analogues of the following problems are considered:\N\N1) constrained minimization problems;\N\N2) minimization of integral functionals (in an interval) with endpoint constraints;\N\N3) minimization of the above integral functionals with integral or state constraints.\N\NFuzzy analogues of classical necessary and of sufficient optimality conditions, including a fuzzy Euler-Lagrange equation, are derived. Some examples are presented.