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In this paper, a new cryptographic algorithm was created with the soft sets, symmetric groups, soft matrices representing soft sets, and AES. In 1999, by Molodtsov proposed soft set theory as a new mathematical tool to deal with uncertainties. This theory which has been applied to many fields which contain uncertainties received much attention since proposed. The inverse product and characteristic product defined on soft matrices was used in soft encryption and soft decryption. In order to makedoi:10.17776/csj.416395 fatcat:tvgprjst5zadbgacmnc74rdi4y