Soft matrix product and soft cyrptosystem

Abstract

Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this work, we define two new operations on the set of soft matrices,
called inverse production and characteristic production and give their properties. We introduce soft
cryptosystem as a new cryptosystem method by using inverse production and characteristic production
of soft matrices. We finally define soft encryption and soft decryption. Some applications are given.