Quadripartitioned Neutrosophic Pythagorean Soft Set

The aim of this paper is to introduce the new concept of Quadripartitioned Neutrosophic Pythagorean soft set with T, C, U, F as dependent neutrosophic components and have also discussed some of its properties

Operations on Single-Valued Trapezoidal Neutrosophic Numbers using (α,β,γ)-Cuts “Maple Package”

In this paper, we present a Maple package called Neutrosophic, which allows users to do operations on trapezoidal and triangular neutrosophic numbers including summation, subtraction, division, and multiplication based on -cuts and plots the results, also the package allows users to rank numbers depending on ambiguity index and value index. This package is very useful in neutrosophic decision-making problems, neutrosophic probabilities, neutrosophic statistics, and in many other fields of neutrosophic researches.

Introduction to Neutrosophic Soft Bitopological Spaces

In this study, the concept of neutrosophic soft bitopological space is defined and it is one of the few studies that have dealt with this concept. In addition, pairwise neutrosophic soft open (closed) set on neutrosophic soft bitopological spaces are studied. Supra neutrosophic soft topology is defined by pairwise neutrosophic soft open sets. Important theorems related to the subject supported with many examples for a better understanding of the subject are given.

A Review On Some Neutrosophic Algebraic Linear Structures

This paper is dedicated to reviewing some of the basic concepts in neutrosophic linear algebra and its generalizations, especially neutrosophic vector spaces, refined neutrosophic, and n-refined neutrosophic vector spaces. Also, this work gives the interested reader a strong background in the study of neutrosophic matrix theory and n-refined neutrosophic matrix theory. We study elementary properties of these concepts such as Kernel, AH-Quotient, and dimension.

Leading From Powerlessness: A Third-way Neutrosophic Leadership Model For Developing Countries

We argue that there are essentially two chief leadership models: the hard-style and soft-style leadership. From Neutrosophic point of view, there can be a third way, between hard-style leadership and soft-style leadership model, which may be more relevant to many of people in developing countries as well as in developed countries, who feel “powerless” and “hopeless” especially in this pandemic situation. We prefer to call this new approach: leading from powerlessness. The third-way Neutrosophic leadership model may also mean partially hard-style and partially soft-style leadership.

A Novel Routing Network Algorithm Via Neutrosphic Fuzzy Set Approach

Routers steer and bid network data, through packets that hold a variety of categories of data such as records, messages, and effortless broadcasts like web interfaces. The procedure of choosing a passageway for traffic in a network or between several networks is called routing. Starting from telephone networks to public transportation the principles of routing are applied. Routing is the higher-level decision-making that directs network packets from their source en route for their destination through intermediate network nodes by specific packet forwarding mechanisms. The main function of the router is to set up optimized paths among the different nodes in the network. An efficient novel routing algorithm is proposed with the utilization of neutrosophic fuzzy logic in this work addition to many routing algorithms for finding the optimal path in the literature. In this approach, each router makes its own routing decision in the halting time. Various concepts like routing procedures, most expected vector, most expected object, and list of estimated delays are explained.

Introduction to Neutrosophic Genetics

Neutrosophic Genetics is the study of genetics using neutrosophic logic, set, probability, statistics, measurement, and other neutrosophic tools and procedures. In this paper, based on the Neutrosophic Theory of Evolution (that includes degrees of Evolution, Neutrality (or Indeterminacy), and Involution) – as an extension of Darwin’s Theory of Evolution, we show the applicability of neutrosophy in genetics, and we present within the frame of neutrosophic genetics the following concepts: neutrosophic mutation, neutrosophic speciation, and neutrosophic coevolution

Remark on Neutrosophic Genetics: A generalized way towards five schemes of Mutation and Transmutation

In a recent paper, Smarandache describes an extension to evolution theory by coming up with Neutrosophic Genetics. This short remark is intended as a letter to the editor of IJNS.

PROMTHEE Plithogenic Pythagorean Hypergraphic Approach in Smart Materials Selection

The production sectors are optimizing its profit with the employment of smart materials at recent times and one of the challenges faced is the selection of smart materials. This article proposes a new decision-making method based on the approach of PROMTHEE plithogenic Pythagorean hypergraph. The efficiency of the proposed method is determined in the selection of smart materials that are significantly utilized in the production processes by the production sectors. In this research work, the decision-making on smart material selection environment is characterized by four major influencing factors such as production processes, operational necessities, fiscal constraints and external effects with eighteen sub-factors. The main objective of this research work is to determine the core sub-factors persuading the selection of smart materials based on the five-point scale of expert’s opinion represented as a Pythagorean neutrosophic number. Out of eighteen sub-factors, four significant factors belonging to each of the major factors were identified by this method. The plithogenic hypergraphs with Pythagorean representation are the extension of plithogenic hypergraphs and the novel decision - making method with the integration of PROMTHEE developed in this article will certainly benefit the decision-makers on smart material selection. Comparative analysis on the criteria is also made based on Pythagorean neutrosophic sets & neutrosophic sets.

n-Cyclic Refined Neutrosophic Groups

This paper introduces for the first time the concept of n-cyclic refined neutrosophic group as a direct application of the concept of n-cyclic refined neutrosophic set. Also, it discusses some of its elementary properties such as AH-subgroups, kernels, and direct products.