Gradient like optimization technique with finite element method to quantify the uncertainties under interval type 2 fuzzy environments

This study proposes a technique to quantify uncertainties in structural engineering systems under interval type 2 fuzzy (IT2F) environments. The finite element method (FEM) is combined with optimization approach to investigate the field variables with interval type 2 fuzzy uncertainties. To address these exclusive features, here the interval type 2 fuzzy finite element method can be incorporated to discretized the element and transformed the governing differential equation into algebraic equations. To estimate the field variables that are getting affected by uncertain parameters, the authors have proposed IT2F gradient descent optimization (IT2FGDO) algorithm. The uncertainties are taken in interval type 2 fuzzy environment. To validate the proposed algorithm, convergence analysis is performed. The result show significant differences and uncertain analysis of structure with different temperature. Then, two cases were considered to quantify the uncertainty and established the stability condition of the systems. It is guaranteed that the solution of IT2FGDO technique possess less uncertainty in interval type 2 fuzzy environment.