Graded fuzzy ring and control picture by coloring fuzzy location

Abstract

In this article, the definition of graded fuzzy ring by group and some of related theorems has been investigated. Among it is the relation between a graded fuzzy ring with crisp graded ring by level sets and gain the set of cosets a graded ring on a fuzzy ideal with a special condition is graded ring. After that be graded fuzzy ring on a group ring and its result on Laurent polynomial is showed. Finally we prove a graded fuzzy ring for a specific group ring that is fuzzy on group elements and then we control a system of image processing by setting of standard colors.