In this paper, a fuzzy finite element method (FFEM) for determining the responses of structures is proposed by using transformation between and random variables. Firstly, formulae establishing normal variables equivalent to symmetric triangular numbers are presented based on combination principle insufficient reason that maximum specificity. As result, analysis transferred into stochastic analy...

Data envelopment analysis (DEA) is a mathematical method to evaluate the performance of decision-making units (DMU). In the performance evaluation of an organization based on the classical theory of DEA, input and output data are assumed to be deterministic, while in the real world, the observed values of the inputs and outputs data are mainly fuzzy and random. A normal distribution is a contin...

In this paper a genetic algorithms approach for solving the linear and quadratic fuzzy equations B x A ~ ~ ~ = and C x B x A ~ ~ ~ ~ ~ 2 = + , where A~ , B~ , C~ and x ~ are fuzzy numbers is proposed by genetic algorithms. Our genetic based method initially starts with a set of random fuzzy solutions. Then in each generation of genetic algorithms, the solution candidates converge more to better...

Image segmentation has often been defined as the problem of localizing regions of an image relative to content (e.g., image homogeneity). A good segmentation requires being fast and accurate. A vast research work has been done in the area of segmentation which has given a lot of methods for segmentation each having different features for different types of images. Random walker method is an alg...

This study introduces the fuzzy Lyapunov function to the fuzzy PID control systems, modified fuzzy systems, with an optimized robust tracking performance. We propose a compound search strategy called conditional linear matrix inequality (CLMI) approach which was composed of the proposed improved random optimal algorithm (IROA) concatenated with the simplex method to solve the linear matrix ineq...