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International Journal of Neutrosophic Science | 2020

Neutrosophic Soft Block Matrices And Some Of Its Properties

  In real life situations, there are many issues in which there are uncertainties, vagueness, complexities and unpredictability. Neutrosophic sets are a mathematical tool to address some issues which cannot be met using the existing methods. Neutrosophic soft matrices play a crucial role in handling indeterminant and inconsistent information during decision making process. The main focus of this article is to discuss the concept of neutrosophic sets, neutrosophic soft sets, neutrosophic soft matrices theory  and finally to discuss about neutrosophic soft block matrics which are very useful and applicable in various situations involving uncertainties and imprecisions.  In this article, neutrosophic soft block matrices, various types of neutrosophic soft block matrices, some operations on it along with some properties associated with it are discussed in details.  

groups
Mamoni Dhar mail
link https://doi.org/10.54216/IJNS.120105

Volume & Issue

Vol. Volume 12 / Iss. Issue 1

Details open_in_new
International Journal of Neutrosophic Science | 2020

Decision Making on Teachers’ adaptation to Cybergogy in Saturated Interval- valued Refined Neutrosophic overset /underset /offset Environment

  Neutrosophic overset, neutrosophic underset and neutrosophic offset introduced by Smarandache are the special kinds of neutrosophic sets with values beyond the range [0,1] and these sets are pragmatic in nature as it represents the real life situations. This paper introduces the concept of saturated refined neutrosophic sets and extends the same to the special kinds of neutrosophic sets. The proposed concept is applied in decision making on Teacher’s adaptation to cybergogy. The decision making environment is characterized by different types of teachers, online teaching skills and various training methods. Fuzzy relation is used to match the most suitable method to the different kinds of teachers with the intervention of saturated interval valued neutrosophic refined oversets, offsets and undersets. The results obtained by applying the notion of saturated refined sets using various distance measures represent the effect of training methods on teacher’s adaptation to learner-centred teaching methods, which certainly give space to gain many insights on the relationship between quality of training and teacher’s adaptation rate. The proposed concept has wide scope and few limitations.  

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Nivetha Martin mail -
Priya.R mail -
Florentin Smarandache mail
link https://doi.org/10.54216/IJNS.120202

Volume & Issue

Vol. Volume 12 / Iss. Issue 2

Details open_in_new
International Journal of Neutrosophic Science | 2020

n-Cyclic Refined Neutrosophic Algebraic Systems of Sub-Indeterminacies, An Application to Rings and Modules

  Refining the indeterminate I into many levels of indeterminacy is a way to explore many neutrosophic algebraic structures.This paper introduces the concept of n-cyclic refined algebraic system of sub-indeterminacies as a new way to refine a neutrosophic indeterminate I. This idea will be used to introduce the notion of n-cyclic refined neutrosophic ring and to study its AH-substructures. Also, this work presents the concept of n-cyclic refined neutrosophic modules with many related structures.  

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Mohammad Abobala mail
link https://doi.org/10.54216/IJNS.120203

Volume & Issue

Vol. Volume 12 / Iss. Issue 2

Details open_in_new
International Journal of Neutrosophic Science | 2020

Completeness and Compactness in Standard Single Valued Neutrosophic Metric Spaces

  In a recent paper, we have introduced the notion of standard single valued neutrosophic metric space as a generalization of standard fuzzy metric spaces given by J.R. Kider and Z.A. Hussain. In this paper, we continue our previous work by introducing the notions of complete standard single valued neutrosophic metric space and compact standard single valued neutrosophic metric space. Furthermore, we give a number of properties and characterizations of these notions and relationship between them.  

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Soheyb Milles mail -
Abdelkrim Latrech mail -
Omar Barkat mail
link https://doi.org/10.54216/IJNS.120204

Volume & Issue

Vol. Volume 12 / Iss. Issue 2

Details open_in_new
International Journal of Neutrosophic Science | 2020

Applications of Neutrosophic Logic of Smart Agriculture via Internet of Things

  This study presents a smart agriculture mechanism model equipped with neutrosophy theory for the first time. The model is created by meticulously bringing together the fields of decision making, IoT and cloud computing. We have demonstrated that smart agriculture can be used in integration with neutrosophic, integrated with IoT. This integration is a model created by making much more detailed calculations by taking into account and using the uncertainty situations in neutrosophic numbers and logic, by automating both the geometric analysis of the soil and surface control and the numerical data of the environment for smart agriculture.  

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Selçuk Topal mail -
Ferhat Tas mail -
Said Broumi mail -
Oguz Ayhan Kirecci mail
link https://doi.org/10.54216/IJNS.120205

Volume & Issue

Vol. Volume 12 / Iss. Issue 2

Details open_in_new
International Journal of Neutrosophic Science | 2021

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 interface. 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 delay are explained.  

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S.Krishna Prabha mail -
broumi said mail -
Selçuk Topal mail
link https://doi.org/10.54216/IJNS.130102

Volume & Issue

Vol. Volume 13 / Iss. Issue 1

Details open_in_new
International Journal of Neutrosophic Science | 2021

Introduction to Neutrosophic Genetics

  Neutrosophic Genetics is the study of genetics using neutrosophic logic, set, probability, statistics, measure 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 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

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Florentin Smarandache mail
link https://doi.org/10.54216/IJNS.130103

Volume & Issue

Vol. Volume 13 / Iss. Issue 1

Details open_in_new
International Journal of Neutrosophic Science | 2021

Structure, NeutroStructure, and AntiStructure in Science

  In any science, a classical Theorem, defined on a given space, is a statement that is 100% true (i.e. true for all elements of the space). To prove that a classical theorem is false, it is sufficient to get a single counter-example where the statement is false.   Therefore, the classical sciences do not leave room for partial truth of a theorem (or a statement). But, in our world and in our everyday life, we have many more examples of statements that are only partially true, than statements that are totally true.   The NeutroTheorem and AntiTheorem are generalizations and alternatives of the classical Theorem in any science. More general, by the process of NeutroSophication, we have extended any classical Structure, in no matter what field of knowledge, to some NeutroStructure, and by the process of AntiSophication to some AntiStructure

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Florentin Smarandache mail
link https://doi.org/10.54216/IJNS.130104

Volume & Issue

Vol. Volume 13 / Iss. Issue 1

Details open_in_new
American Journal of Business and Operations Research | 2021

Proposed Risk Diagnosing Methodology for ERP Implementation Project in SMEs

The implementation of ERP projects is a specific case of information system projects that require modifying pre-produced software according to the condition specified for an organization to fulfill particular benefits. ERP systems adoption is a complicated, lengthy, risky, and costly process for all sizes of organizations that usually faces critical failures and challenges. Especially for SMEs with limited capabilities and resources, they lack the experience of requirement specification and ERP implementation. This failure could be costly and may cause corporate bankruptcy. This study proposes a Risk Diagnosing Methodology for implementing ERP projects in SMEs (RDMERP). The proposed methodology is systematic and a global road to proactively identify, assess, analyze, and treat the various risks associated with any ERP implementation through all the phases for protecting the SMEs’ assets and mission and meeting the ERP project objectives.

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Abdel Nasser H. Zaied mail -
Shaimaa Mohmed mail
link https://doi.org/10.54216/AJBOR.020101

Volume & Issue

Vol. Volume 2 / Iss. Issue 1

Details open_in_new