Partitioned Soft Sets and Their Application to Cryptology

Naim Çağman; Fikret Çifçi; İbrahim Halil Kanat

doi:10.54187/jnrs.1714223

EN

Partitioned Soft Sets and Their Application to Cryptology

Abstract

Soft set theory, introduced by Molodtsov in 1999, is a mathematical tool for dealing with uncertainty and vagueness in a parameterized way. Cryptology is a method of protecting information and communications so that only those for whom the information is intended can read and process it. In this article, we defined partitioned soft sets, which represent a new concept in soft set theory. Using these partitioned soft sets, we then constructed a new type of cipher method called a soft cipher. It is a variation of a cipher method. Finally, we developed a computer program with examples for the soft cipher method.

Keywords

Soft sets, partitioned soft sets, cryptology, caesar cipher, soft cipher

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Details

Primary Language

English

Subjects

Symbolic Calculation, Mathematical Logic, Set Theory, Lattices and Universal Algebra

Journal Section

Research Article

Authors

Naim Çağman ^*
0000-0003-3037-1868
Türkiye

Fikret Çifçi
0009-0001-3661-3779
Türkiye

İbrahim Halil Kanat
0009-0000-6906-9020
Türkiye

Publication Date

April 30, 2026

Submission Date

June 4, 2025

Acceptance Date

February 10, 2026

Published in Issue

Year 2026 Volume: 15 Number: 1

DOI

https://doi.org/10.54187/jnrs.1714223

IZ

https://izlik.org/JA83LY47TG

APA

Çağman, N., Çifçi, F., & Kanat, İ. H. (2026). Partitioned Soft Sets and Their Application to Cryptology. Journal of New Results in Science, 15(1), 15-28. https://doi.org/10.54187/jnrs.1714223

AMA

1.Çağman N, Çifçi F, Kanat İH. Partitioned Soft Sets and Their Application to Cryptology. JNRS. 2026;15(1):15-28. doi:10.54187/jnrs.1714223

Chicago

Çağman, Naim, Fikret Çifçi, and İbrahim Halil Kanat. 2026. “Partitioned Soft Sets and Their Application to Cryptology”. Journal of New Results in Science 15 (1): 15-28. https://doi.org/10.54187/jnrs.1714223.

EndNote

Çağman N, Çifçi F, Kanat İH (April 1, 2026) Partitioned Soft Sets and Their Application to Cryptology. Journal of New Results in Science 15 1 15–28.

IEEE

[1]N. Çağman, F. Çifçi, and İ. H. Kanat, “Partitioned Soft Sets and Their Application to Cryptology”, JNRS, vol. 15, no. 1, pp. 15–28, Apr. 2026, doi: 10.54187/jnrs.1714223.

ISNAD

Çağman, Naim - Çifçi, Fikret - Kanat, İbrahim Halil. “Partitioned Soft Sets and Their Application to Cryptology”. Journal of New Results in Science 15/1 (April 1, 2026): 15-28. https://doi.org/10.54187/jnrs.1714223.

JAMA

1.Çağman N, Çifçi F, Kanat İH. Partitioned Soft Sets and Their Application to Cryptology. JNRS. 2026;15:15–28.

MLA

Çağman, Naim, et al. “Partitioned Soft Sets and Their Application to Cryptology”. Journal of New Results in Science, vol. 15, no. 1, Apr. 2026, pp. 15-28, doi:10.54187/jnrs.1714223.

Vancouver

1.Naim Çağman, Fikret Çifçi, İbrahim Halil Kanat. Partitioned Soft Sets and Their Application to Cryptology. JNRS. 2026 Apr. 1;15(1):15-28. doi:10.54187/jnrs.1714223