Research Paper Neutrosophic sets and their variants
The dynamic interplay of opposites in zoroastrianism

Florentin Smarandache

Volume 5, Issue 1 , March 2024, Pages 1-15

  This exploration addresses some aspects of Zoroastrianism, examining how the ancient Persian belief system aligns with the dynamic and indeterminate principles of  Fuzzy, Neutrosophic, and MultiAlist systems. Zoroastrianism, rooted in the eternal struggle between good and evil, light and darkness, ...  Read More

Research Paper Fuzzy sets and their variants
Integration research of blockchain and social networks in rural management systems under fuzzy cognitive environment

Wencun Wang; Jun Yao; Di Zhao; Can Huang

Volume 5, Issue 1 , March 2024, Pages 16-34

  This study investigates integrating and optimizing an intelligent rural management system leveraging advanced technologies, including the Internet of Things (IoT), blockchain, and social networks. Initially, it identifies and scrutinizes prevailing issues in rural development processes, emphasizing the ...  Read More

Research Paper Soft sets and their variants
Theoretical approaches of interval-valued fuzzy code and fuzzy soft code

Masresha Wassie Woldie; Jejaw Demamu Mebrat; Mihret Alamneh Taye

Volume 5, Issue 1 , March 2024, Pages 35-47

  In this study, we attempted to demonstrate the interval-valued fuzzy code by extending the concept of an interval-valued fuzzy set. Further, we discussed the operations of the interval-valued fuzzy code. The interval-valued fuzzy soft code is introduced, and various related properties are investigated ...  Read More

Research Paper Fuzzy sets and their variants
Trusted fuzzy routing scheme in flying ad-hoc network

Sahabul Alam; Joydeep Kundu; Shivnath Ghosh; Arindam Dey

Volume 5, Issue 1 , March 2024, Pages 48-59

  Unmanned Aerial Vehicles (UAVs) bring both potential and difficulties for emergency applications, including packet loss and changes in network topology. UAVs are also quickly taking up a sizable portion of the airspace, allowing Flying Ad-hoc NETworks (FANETs) to conduct effective ad hoc missions. Therefore, ...  Read More

Research Paper Fermatean fuzzy sets and their variants
Profitable portfolio using fermatean fuzzy numbers

Amal Kumar Adak; Manish Kumar Gunjan

Volume 5, Issue 1 , March 2024, Pages 60-68

  Stock portfolio problems are one of the most relevant real-world problems. In this study, we discuss the portfolio's risk amount, rate of risk-return, and expected return rate under a Fermatean fuzzy environment. A linear programming problem is used to formulate a Fermatean fuzzy portfolio. The Fermatean ...  Read More

Research Paper Neutrosophic sets and their variants
On novel security systems based on the 2-cyclic refined integers and the foundations of 2-cyclic refined number theory

Mohammad Abobala; Hasan Sankari; Mohamed Bisher Zeina

Volume 5, Issue 1 , March 2024, Pages 69-85

  Integers play a basic role in the structures of asymmetric crypto-algorithms. Many famous public key crypto-schemes use the basics of number theory to share keys and decrypt and encrypt messages and multimedia. As a novel trend in the world of cryptography, non-classical integer systems, such as neutrosophic ...  Read More

Research Paper Picture fuzzy sets and their variants
Vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in cities

R. V Jaikumar; Raman Sundareswaran; Marayanagaraj Shanmugapriya; Said Broumi; Talal Ali Al-Hawary

Volume 5, Issue 1 , March 2024, Pages 86-99

  The notion of Fuzzy Graphs (FGs) and Intuitionistic Fuzzy Graphs (IFGs) is generalized in the Picture Fuzzy Graph (PFG), which is a more common platform for expressing the degree of positive, negative, and neutral membership functions. Picture Fuzzy Soft Graphs (PFSGs) are powerful mathematical tools ...  Read More

Research Paper Artificial Intelligence with uncertainty
Weighted fuzzy C means and enhanced adaptive neuro-fuzzy inference based chronic kidney disease classification

Maria Lincy Jacquline; Natarajan Sudha

Volume 5, Issue 1 , March 2024, Pages 100-115

  Chronic nephritic sickness is another name for Chronic Kidney Disease (CKD). Numerous complications, such as elevated blood levels, anemia, weak bones, and nerve damage, constitute a problem. It is usually possible to prevent chronic uropathy from getting worse by early identification and treatment. ...  Read More

Review Paper Complex Fuzzy Sets and their variants
On the foundations of weak fuzzy complex-real functions

Lama Razouk; Suliman Mahmoud; Mohamad Ali

Volume 5, Issue 1 , March 2024, Pages 116-140

  This paper aims to create a strong background of many algebraic structures dealing with Weak Fuzzy Complex (WFC) elements. So, we build a special transformation function that has an important role in working with variables from a Real number set instead of a WFC set. We study its algebraic properties ...  Read More

Research Paper Intuitionistic fuzzy sets and their variants
Intuitionistic fuzzy lattice ordered G-modules

Poonam Kumar Sharma

Volume 5, Issue 1 , March 2024, Pages 141-158

   The investigation of mathematics underlines accuracy, precision, and flawlessness, yet in numerous genuinecircumstances, individuals face equivocalness, ambiguity, imprecision, and so forth. Intuitionistic fuzzy settheory, rough set theory, and soft set theory are three noble techniques in mathematics ...  Read More