Properties Analysis of Fuzzy Variational Inequality Problems

Abstract

The fuzzy variable was introduced in the variational inequality, the model of the fuzzy variational inequality problem was presented in possibility space. And some properties were investigated. This paper was organized as follow, firstly, we introduced fuzzy variable in variational inequality. Furthermore, the expected residual minimization of the regularized gap function was established. Then, we concentrated on a subclass of fuzzy variable in variational inequality in which the function involved was assumed to be affine and the properties of the variational inequality problem with fuzzy variable were discussed.