Intuitionistic Fuzzy Multi–Objective Structural Optimization using Non-linear Membership Functions

In this paper, we develop an intuitionistic fuzzy optimization approach using non-linear membership and non-membership function for optimizing multi objective structural model. In this optimum design formulation, the objective functions are the weight of the truss and the deflection of loaded joint; the design variables are the crosssections of the truss members; the constraints are the stresses in members. A classical truss optimization example is given to demonstrate the efficiency of the Intuitionistic fuzzy optimization approach with non-linear membership function. A three-bar planar truss subjected to a single load condition is considered as a test problem. Numerical example is given to illustrate our approach.