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A novel development to encrypt data communication under t-intuitionistic fuzzy environment.
Hanan Alolaiyan1, Laila Latif2, Umer Shuaib2
1Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia.
Plos One
|September 27, 2024
Summary
This study introduces a novel RSA cryptosystem using t-intuitionistic fuzzy subgroups to enhance data security in cryptography. The new method improves the representation and protection of complex, uncertain data, advancing fuzzy cryptography.
Area of Science:
- Computer Science
- Mathematics
Background:
- The increasing complexity of cyber threats necessitates advancements in cryptographic systems.
- Existing cryptosystems face challenges with ambiguity, fuzziness, and imprecision in data representation.
Purpose of the Study:
- To introduce a new RSA cryptosystem based on t-intuitionistic fuzzy subgroups.
- To enhance the security and representation of cryptographic data, particularly in uncertain environments.
Main Methods:
- Exploration of the RSA approach within the framework of t-intuitionistic fuzzy subgroups.
- Introduction of t-intuitionistic fuzzy numbers and triangular t-intuitionistic fuzzy numbers.
- Development of a mathematical mechanism for implementing the t-intuitionistic fuzzy RSA algorithm.
Main Results:
- A novel RSA cryptosystem is proposed, yielding plaintext and ciphertext in terms of t-intuitionistic fuzzy numbers.
- The t-intuitionistic fuzzy subgroup effectively addresses cryptosystem ambiguity, fuzziness, and imprecision.
- The proposed method demonstrates superior applicability and performance compared to existing techniques through comparative analysis.
Conclusions:
- The t-intuitionistic fuzzy RSA technique offers a robust solution for securing data with complex and uncertain characteristics.
- This research significantly contributes to the fields of fuzzy cryptography, fuzzy algebraic structures, and decision support systems.
- The study highlights the theoretical and practical value of t-intuitionistic fuzzy subgroups as a tool for enhanced data security.
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