Soft Matrix Product and Soft Cryptosystem

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AYGÜN E.

FILOMAT, vol.32, no.19, pp.6519-6530, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 19
  • Publication Date: 2018
  • Doi Number: 10.2298/fil1819519a
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.6519-6530
  • Keywords: Soft sets, Soft matrix, Soft matrix product, Cyrptosystem, Soft cryptosystem, SET-THEORY
  • Erciyes University Affiliated: Yes

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