This article explains a few matrix-based cryptography approaches. Although the method is straightforward and quick to use for confidential communication encryption, it is also difficult to crack if one does not know the key. In order to keep the text provided by the sender in the form of positions and their inverses for decoding, the encryption system uses various types of matrices. the idea of solving non-singular matrices in cryptography using modified arithmetic operations on interval-valued fuzzy values. Since ancient times, the science of encrypting messages in secret codes—known as cryptography—has been crucial to information security. The fundamental tenet of cryptography is that data can be encrypted using a system that anyone who is aware of the technique can decode. Lastly, a numerical example was suggested.