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

Florentin Smarandache

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

https://doi.org/10.22105/jfea.2024.190173

Abstract
  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

Plithogenic sets and their variants
An Overview of Plithogenic Set and Symbolic Plithogenic Algebraic Structures

Florentin Smarandache

Volume 4, Issue 1 , March 2023, , Pages 52-59

https://doi.org/10.22105/jfea.2023.382196.1252

Abstract
  This paper is devoted to Plithogeny, Plithogenic Set, and its extensions. These concepts are branches of uncertainty and indeterminacy instruments of practical and theoretical interest. Starting with some examples, we proceed towards general structures. Then we present definitions and applications of ...  Read More

Plithogenic sets and their variants
Introduction to plithogenic sociogram with preference representations by plithogenic number

Nivetha Martin; Florentin Smarandache; R Priya

Volume 3, Issue 1 , March 2022, , Pages 96-108

https://doi.org/10.22105/jfea.2021.288057.1151

Abstract
  The theory of Plithogeny is gaining momentum in recent times as it generalizes the concepts of fuzzy, intuitionistic, neutrosophy and other extended representations of fuzzy sets. The relativity of the comprehensive and accommodative nature of plithogenic sets in dealing with attributes shall be applied ...  Read More

Plithogenic sets and their variants
New Plithogenic sub cognitive maps approach with mediating effects of factors in COVID-19 diagnostic model

Nivetha Martin; R. Priya; Florentin Smarandache

Volume 2, Issue 1 , March 2021, , Pages 1-15

https://doi.org/10.22105/jfea.2020.250164.1015

Abstract
  The escalation of COVID-19 curves is high and the researchers worldwide are working on diagnostic models, in the way this article proposes COVID-19 diagnostic model using Plithogenic cognitive maps. This paper introduces the new concept of Plithogenic sub cognitive maps including the mediating effects ...  Read More

Picture fuzzy sets and their variants
The picture fuzzy distance measure in controlling network power consumption

Ngan Thi Roan; Salvador Coll; Marina Alonso; Juan Miguel Martínez Rubio; Pedro López; Fran Andujar; Son Hoang Le; Manh Van Vu; Florentin Smarandache

Volume 1, Issue 3 , September 2020, , Pages 139-158

https://doi.org/10.22105/jfea.2020.249183.1009

Abstract
  In order to solve the complex decision-making problems, there are many approaches and systems based on the fuzzy theory were proposed. In 1998, Smarandache introduced the concept of single-valued neutrosophic set as a complete development of fuzzy theory. In this paper, we research on the distance measure ...  Read More

Neutrosophic sets and their variants
Generalizations and alternatives of classical algebraic structures to neutroAlgebraic structures and antiAlgebraic structures

Florentin Smarandache

Volume 1, Issue 2 , June 2020, , Pages 81-83

https://doi.org/10.22105/jfea.2020.248816.1008

Abstract
  In this paper we present the development from paradoxism to neutrosophy, which gave birth to neutrosophic set and logic and especially to NeutroAlgebraic Structures (or NeutroAlgebras) and AntiAlgebraic Structures (or AntiAlgebras) that are generalizations and alternatives of the classical algebraic ...  Read More