The location of wireless sensor nodes located in the center is necessary for applications where information about the site is important information such as security, protection, object tracking and other applications. localization algorithms are classified into two types: Range-based and Range-free. The study focused on Range-free localization algorithms because they are less expensive in terms of hardware requirements. The MATLAB was used to simulate the algorithms, whose performance was evaluated by changing the number of network nodes, the number of Anchor nodes, and the contract area of communication in order to illustrate performance differences in terms of localization error. The results showed the superiority of the amorphous algorithm, achieving high localization accuracy and lower cost for the number of Anchor nodes needed to achieve a small error.