Optimality Conditions for Fuzzy Order Variational Problems

The main objectives of this thesis is oriented toward three directions: The first objective is to study fuzzy set theory with some basic properties related to the theory of variational problems.The second objective is to study variational problems with fuzzy functions, fuzzy condition and fuzzy boundaries by using different approaches for defuzzification, such as centroid method, α-cut method, centroid point and
expected interval in which fuzzy sets have been transformed into crisp sets.The third objective is to find the necessary conditions for extremizing the fuzzy variational problems with fuzzy function and fuzzy boundaries.