Linear Fuzzy Integers and Bezout's Identity

Fuzzy arithmetic is a powerful tool to solve engineering problems with uncertain parameters. In doing so, the uncertain parameters in the model equations are expressed by fuzzy numbers, and the problem is solved by using fuzzy arithmetic to carry out the mathematical operations in a generalized form. Diophantine equations have played an important role in many applications of optimization and decision making problems. This work considers the solution of Diophantine equations and Bezout’s Identity with Linear Fuzzy Integer coefficients. Overestimation is also addressed