Neutrosophic approach to Dynamic Programming on group Decision Making problems

A.; D.Nagarajan; broumi

doi:https://doi.org/10.54216/IJNS.190205

Galoitica: Journal of Mathematical Structures and Applications | 2022

An Introduction to Neutrosophic Real Banach and Hillbert Spaces

Banach and Hillbert spaces are the main important concepts in the study of classical functional analysis. This paper generalizes these two kinds of functional spaces into neutrosophic systems, where the concept of neutrosophic Banach space and neutrosophic Hillbert space will be defined and discussed for the first time over partial ordered neutrosophic spaces. Also, many related concepts such as neutrosophic Cauchy sequence, neutrosophic Bessel's inequality, and neutrosophic Parseval's identity will be established and proved.

groups

Mehmet Celik mail -

Necati Olgun mail

link https://doi.org/10.54216/GJMSA.020101

Volume & Issue

Vol. Volume 2 / Iss. Issue 1

Details open_in_new

Galoitica: Journal of Mathematical Structures and Applications | 2022

Under Solvable Groups as a Novel Generalization of Solvable Groups

The objective of this paper is to define a new generalization of solvable groups by using the concept of power maps which generalize the classical concept of powers (exponents). Also, it presents many elementary properties of this new generalization in terms of theorems.

groups

Mohammad Abobala mail -

Mehmet Celik mail

link https://doi.org/10.54216/GJMSA.020102

Volume & Issue

Vol. Volume 2 / Iss. Issue 1

Details open_in_new

Galoitica: Journal of Mathematical Structures and Applications | 2022

On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces

The aim of this paper is to generalize the neutrosophic AH-isometry into the system of refined neutrosophic numbers, where it presents an isometer between the refined neutrosophic space with one/two neutrosophic dimensions and the cartesian product of classical Euclidean spaces.Also, many refined neutrosophic geometrical surfaces such as refined circles and lines will be handled according to the isometry.

groups

Mehmet Celik mail -

Ahmed Hatip mail

link https://doi.org/10.54216/GJMSA.020103

Volume & Issue

Vol. Volume 2 / Iss. Issue 1

Details open_in_new

Galoitica: Journal of Mathematical Structures and Applications | 2022

On The Classification of Neutrosophic Complex Inner Product Spaces

The objective of this paper is to study the neutrosophic complex inner product spaces over neutrosophic complex field C(I). Also, it determines the necessary and sufficient condition of a neutrosophic complex vector space to be a complex inner product space by using semi module isomorphisms.

groups

Mehmet Celik mail -

Necati Olgun mail

link https://doi.org/10.54216/GJMSA.020104

Volume & Issue

Vol. Volume 2 / Iss. Issue 1

Details open_in_new

Fusion: Practice and Applications | 2021

Software Defined Network Function Virtualization Framework for Securing Cloud with Data Fusion and Machine Learning Techniques

Computing in the cloud is one of the platforms that may be used to provide distributed computing resources. Supplying and managing cloud resources most effectively is referred to as resource management. A recent development in technology known as fog computing is an example of an expanded and dispersed infrastructure. This architecture maintains application processes between end devices and the network edge to provide more dependable and efficient services. These services include remote data storage, allowing customers to access their data from a distant location. Providing remote storage service is an advantageous function offered by cloud suppliers. On the other hand, the data stored in the cloud is geographically dispersed and kept in various data centers, significantly increasing the risk to users' privacy and security. One of the problems that might arise with privacy is when many data centers store the same information. Many cloud service providers check their customers' data using a Third-Party Auditor (TPA) to address concerns about client privacy and data integrity. Currently, most trusted TPAs only have one validator, making it impossible to expand the data integrity across several data centers. The various verifiers used by TPAs have been reduced in number in response to Man in the Cloud (MiTC) attacks. As a result, they cannot check and authenticate the integrity of data stored in several data centers. A unique Peer to Peer (P2P) authentication protocol with Certificate Authority (CA) and Data Storage Protocol is presented as a solution to the problem that has been outlined above to check for and go around any issues that may arise (DSP). The efficiency of the proposed protocol is demonstrated by the incorporation of TPAs and Certificate Authorities. The proposed protocol has been tested with a single user and a single storage server, as well as multiple storage servers in ownCloud with one backup server, two storage servers, three clients, and two TPAs. The NoSQL server in an organization's cloud is set up to save data to storage servers in the appropriate format. The Amanda backup server is used to back up the mirror copy of the stored data on the storage servers. Automated Validation of Internet Security Protocols with Data Fusion and Applications, or AVISPA for short, is a technology that may be used to verify data stored in the cloud. The findings make it abundantly evident that the suggested protocol is strong enough to guarantee the authenticity of data kept in several data centers.

groups

Rajit Nair mail -

Miguel Botto-Tobar mail -

Premnarayan Arya mail

link https://doi.org/10.54216/FPA.030204

Volume & Issue

Vol. Volume 3 / Iss. Issue 2

Details open_in_new

International Journal of Neutrosophic Science | 2022

Generalized of A-Closed Set and Ƈ- Closed Set in Fuzzy Neutrosophic Topological Spaces

In this research paper, a new two classes of sets called fuzzy neutrosophic generalized A-closed sets and fuzzy neutrosophic generalized Ƈ-Closed sets in fuzzy neutrosophic topology are introduced and some of their properties have been investigated. We give some theorems, propositions and some necessary examples related to presented definitions. Then, we discuss the relations among the new defined sets.

groups

Huda F. Khudair mail -

Fatimah M. Mohammed mail

link https://doi.org/10.54216/IJNS.190201

Volume & Issue

Vol. Volume 19 / Iss. Issue 2

Details open_in_new

International Journal of Neutrosophic Science | 2022

Continuity and Compactness via Hypersoft Open Sets

Hypersoft topology (HST) is the study of a structure based on all hypersoft (HS) sets on a given set of alternatives. In continuation of this concern, in this article, we introduce new maps namely HS continuous, HS open, HS closed, and HS homomorphism. We examine the main characteristics of each of these maps. Furthermore, we study HS compact space and discuss some of its properties. We point out that HS compactness preserved under HS continuous map.

groups

Baravan A. Asaad mail -

Sagvan Y. Musa mail

link https://doi.org/10.54216/IJNS.190202

Volume & Issue

Vol. Volume 19 / Iss. Issue 2

Details open_in_new

International Journal of Neutrosophic Science | 2022

Some Algebraic structures of Neutrosophic fuzzy sets

The mathematical operations of convergence, association, supplement, arithmetical total, logarithmic item, scalar increase, and exponentiation are the main topics of this article. We show certain important logarithmic features of idempotency, commutativity, associativity, retention, distributivity, and De Morgan’s laws over the addition of Neutrosophic fuzzy sets. We also outline new fixations and NFS widening and show some concepts in action. Last but not least, we define a further operation (@)on Neutrosophic fuzzy sets and investigate distributive laws for the case where the responsibilities of &oplus;, &otimes;, ∪, and ∩ are combined.

groups

I. Silambarasan mail -

R. Udhayakumar mail -

Florentin Smarandache mail -

Said Broumi mail

link https://doi.org/10.54216/IJNS.190203

Volume & Issue

Vol. Volume 19 / Iss. Issue 2

Details open_in_new

International Journal of Neutrosophic Science |

A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program

In this research paper, we explore the notion of Plithogenic Fuzzy Relational Mapping (PFRM) and its applications. Plithogenic Fuzzy Relational Mapping concept is utilized as a logical procedure with a defined contradiction degree to evaluate multiple attributes. A Plithogenic fuzzy relational matrix is used as the adjacency matrix. Using Plithogenic fuzzy union and intersection operators, the resultant vector is calculated. The degree of contradiction for each attribute value with the dominating attribute gives a way to better accurate results. A case study has been taken and we have implemented the newly proposed idea. Python Program has been written using the algorithm proposed and we have obtained the result as well.

groups

L.Jeromia Anthvanet mail -

A. Rajkumar mail -

D. Nagarajan mail -

broumi said mail

link https://doi.org/10.54216/IJNS.190204

Volume & Issue

Vol. Volume 19 / Iss. Issue 2

Details open_in_new

International Journal of Neutrosophic Science | 2022

Neutrosophic approach to Dynamic Programming on group Decision Making problems

In this article, complicated group decision-making situations where the preference data is represented by linguistic variables are addressed using the dynamic programming approach. Making conclusions clear through accurate figures is difficult for decision-makers due to the complexity and ambiguity of reality. Neutrosophic is used to encode the linguistic variables because they cannot be directly computed. Neutrosophic sets are used to manage indeterminacy in a practical situation. The relationships between single and interval Neutrosophic sets are then measured using novel distance and similarity models. The suggested dynamic programming interval-based clustering methodology is then used to group the decision-makers. Additionally, a novel method for computing the interval weights of decision-makers and clusters is described, accounting for both the cluster center and group size. A centroid-based ranking system is then used to compare and order the possibilities, and illustrated experiments are presented to demonstrate how effectively the suggested technique operates. Comparisons and discussions are also done to show its superiority.

groups

A. Kanchana mail -

D.Nagarajan mail -

broumi said mail

link https://doi.org/10.54216/IJNS.190205

Volume & Issue

Vol. Volume 19 / Iss. Issue 2

Details open_in_new