The concepts of Neutrosophic secure edge domination number and neutrosophic total secure edge domination number in single valued neutrosophic graphs (SVNG) with strong arcs are introduced and analysed in this paper, and some of their properties are studied. The relationship between the neutrosophic secure edge dominance number and its inverse is presented. The concepts inverse neutrosophic total edge domination set and inverse neutrosophic total edge domination number are also defined. Some of these concepts' properties are investigated.
{"title":"Secure Edge Domination in Neutrosophic Graphs","authors":"S. S, S. Broumi","doi":"10.54216/jnfs.030201","DOIUrl":"https://doi.org/10.54216/jnfs.030201","url":null,"abstract":"The concepts of Neutrosophic secure edge domination number and neutrosophic total secure edge domination number in single valued neutrosophic graphs (SVNG) with strong arcs are introduced and analysed in this paper, and some of their properties are studied. The relationship between the neutrosophic secure edge dominance number and its inverse is presented. The concepts inverse neutrosophic total edge domination set and inverse neutrosophic total edge domination number are also defined. Some of these concepts' properties are investigated.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129559598","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Recently, a problem is addressed while dealing the data with Non-Euclidean Geometry and its characterization. The mathematician found negation of fifth postulates of Euclidean geometry easily and called as Non-Euclidean geometry. However Riemannian provided negation of second postulates also which still considered as Non-Euclidean. In this case the problem arises what will happen in case negation of other Euclid Postulates exists. Same time total total or partial negation of Euclid postulates fails as hybrid Geometry. It become more crucial in case the data is unknown, incomplete or exists beyond the three-way space as heteroclinic pattern. To understand this problem, the current paper tried to distinguish Euclidean, Non-Euclidean, Anti-Geometry, Neutrogeometry and Turiyam or Unknown geometry using the complement operator with an example.
{"title":"Four-Way Turiyam based Characterization of Non-Euclidean Geometry","authors":"Prem Kumar Singh","doi":"10.54216/jnfs.050207","DOIUrl":"https://doi.org/10.54216/jnfs.050207","url":null,"abstract":"Recently, a problem is addressed while dealing the data with Non-Euclidean Geometry and its characterization. The mathematician found negation of fifth postulates of Euclidean geometry easily and called as Non-Euclidean geometry. However Riemannian provided negation of second postulates also which still considered as Non-Euclidean. In this case the problem arises what will happen in case negation of other Euclid Postulates exists. Same time total total or partial negation of Euclid postulates fails as hybrid Geometry. It become more crucial in case the data is unknown, incomplete or exists beyond the three-way space as heteroclinic pattern. To understand this problem, the current paper tried to distinguish Euclidean, Non-Euclidean, Anti-Geometry, Neutrogeometry and Turiyam or Unknown geometry using the complement operator with an example.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"180 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122327257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The industrial sector is among the most suited sectors that may considerably advantage from the implementation of the ideas and technology of the Industrial Internet of Things (IIoT), and it is one of the most competitive industries in the world. The increased use of automated processes in manufacturing sectors results in a wide variety of applications based on IIoT. These applications call for the efficient integration of a wide variety of different systems and the execution of smooth operations across all machines. The issue of integration and smooth operation presents IIoT as a new subject of study in smart manufacturing. This carries with it several problems, including those on security, accountability, confidence, and dependability. As part of the Industrial Internet of Things (IIoT), many devices will be linked to one another and interact with one another through wireless and internet infrastructure. When this kind of situation plays out, the reliability of the IIoT devices becomes a key component in the process of preventing injection by hostile machines. As a result, an intelligent computer model is required to effectively cluster and categorize the level of trustworthiness possessed by the IIoT devices. In this article, we describe a trust model for the Internet of Things (IIoT) that is based on the neutrosophic TOPSIS and is utilized by IIoT apps to determine the trust score of IIoT devices. The reliability of devices is evaluated by the model that was constructed using the historical knowledge, chronological knowledge, and network behavior information that is received from IIoT devices. In addition to that, the model suggests KNN, and a Decision tree to categorize the attributes that were collected.
{"title":"Neutrosophic-based machine learning context for the trustworthiness of devices in the internet of things","authors":"A. Salamai","doi":"10.54216/jnfs.010107","DOIUrl":"https://doi.org/10.54216/jnfs.010107","url":null,"abstract":"The industrial sector is among the most suited sectors that may considerably advantage from the implementation of the ideas and technology of the Industrial Internet of Things (IIoT), and it is one of the most competitive industries in the world. The increased use of automated processes in manufacturing sectors results in a wide variety of applications based on IIoT. These applications call for the efficient integration of a wide variety of different systems and the execution of smooth operations across all machines. The issue of integration and smooth operation presents IIoT as a new subject of study in smart manufacturing. This carries with it several problems, including those on security, accountability, confidence, and dependability. As part of the Industrial Internet of Things (IIoT), many devices will be linked to one another and interact with one another through wireless and internet infrastructure. When this kind of situation plays out, the reliability of the IIoT devices becomes a key component in the process of preventing injection by hostile machines. As a result, an intelligent computer model is required to effectively cluster and categorize the level of trustworthiness possessed by the IIoT devices. In this article, we describe a trust model for the Internet of Things (IIoT) that is based on the neutrosophic TOPSIS and is utilized by IIoT apps to determine the trust score of IIoT devices. The reliability of devices is evaluated by the model that was constructed using the historical knowledge, chronological knowledge, and network behavior information that is received from IIoT devices. In addition to that, the model suggests KNN, and a Decision tree to categorize the attributes that were collected.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128306390","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we show that for a finite game with two players A , B: Each winning strategy of the first player A can be represented by a neutrosophic subgroup of the neutrosophic group ( , and each winning strategy of the second player B can be represented by an elementary abelian group Also, we introduce the concept of algebraically relative games and present some examples on it.
{"title":"On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups","authors":"Mikail Bal, Mohammad Abobala","doi":"10.54216/jnfs.020101","DOIUrl":"https://doi.org/10.54216/jnfs.020101","url":null,"abstract":"In this paper, we show that for a finite game with two players A , B: Each winning strategy of the first player A can be represented by a neutrosophic subgroup of the neutrosophic group ( , and each winning strategy of the second player B can be represented by an elementary abelian group Also, we introduce the concept of algebraically relative games and present some examples on it.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"10 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133204621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
When conducting the simulation process for any of the systems according to classical logic, we start by generating random numbers belonging to the regular probability distribution on the field [0, 1] using one of the known methods, and then we convert these random numbers into random variables that follow the probability distribution that the system to be simulated works with, the simulation process that we perform it gives specific results that do not take into account the changes that may occur in the work environment of the system, to obtain more accurate results In a previous research, we prepared a study through which we reached random neutrosophic numbers follow the uniform distribution of the neutrosophic on the field with no determination that can be enjoyed by the two parties of the field, one or both together, it may be in the form of a group or a field in another research , we converted these neutrosophic random numbers into neutrosophic random variables that follow the neutrosophic exponential distribution using the opposite conversion method that depends on the cumulative distribution function of the probability distribution by which the system to be simulated works, in this research we have useda method The opposite transformation to generate random variables that follow the neutrosophic uniform distribution and we have reached relationships through which we can convert the neutrosophic random numbers that follow the neutrosophic uniform distribution defined on the domain with the indeterminacy enjoyed by each end of the field, one or the other, into random variables that follow the neutrosophic uniform distribution, which is a classical uniform distribution whose medians are not precisely defined values , one or both may be cognitiven in the form of a set or a domain, so that n take into account all possible cases of mediators while maintaining the condition , and the ;method was illustrated through an applied example and we came up with neutrosophic random variables that follow the uniform distribution that give us more accurate simulation results when used due to the indeterminacy of neutrosophic values.
{"title":"Using the Inverse Transformation Method to Generate Random Variables that follow the Neutrosophic Uniform Probability Distribution","authors":"Maissam Jdid, A. A. Salama","doi":"10.54216/jnfs.060202","DOIUrl":"https://doi.org/10.54216/jnfs.060202","url":null,"abstract":"When conducting the simulation process for any of the systems according to classical logic, we start by generating random numbers belonging to the regular probability distribution on the field [0, 1] using one of the known methods, and then we convert these random numbers into random variables that follow the probability distribution that the system to be simulated works with, the simulation process that we perform it gives specific results that do not take into account the changes that may occur in the work environment of the system, to obtain more accurate results In a previous research, we prepared a study through which we reached random neutrosophic numbers follow the uniform distribution of the neutrosophic on the field with no determination that can be enjoyed by the two parties of the field, one or both together, it may be in the form of a group or a field in another research , we converted these neutrosophic random numbers into neutrosophic random variables that follow the neutrosophic exponential distribution using the opposite conversion method that depends on the cumulative distribution function of the probability distribution by which the system to be simulated works, in this research we have useda method The opposite transformation to generate random variables that follow the neutrosophic uniform distribution and we have reached relationships through which we can convert the neutrosophic random numbers that follow the neutrosophic uniform distribution defined on the domain with the indeterminacy enjoyed by each end of the field, one or the other, into random variables that follow the neutrosophic uniform distribution, which is a classical uniform distribution whose medians are not precisely defined values , one or both may be cognitiven in the form of a set or a domain, so that n take into account all possible cases of mediators while maintaining the condition , and the ;method was illustrated through an applied example and we came up with neutrosophic random variables that follow the uniform distribution that give us more accurate simulation results when used due to the indeterminacy of neutrosophic values.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131010267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Inventory models are generally concerned with finding the volume of inventory to be kept to ensure the continuity of work, which achieves the facility with the lowest cost and the greatest profit, and since the ideal volume is affected by the rate of demand for inventory, in previous research [5] we studied the static model without a deficit according to the neutrosophic logic and we came to a relationship that we calculate through which the ideal size of inventory, the result was a neutrosophic value that takes into account all the fluctuations and changes that administrators may encounter during the course of work through the indeterminacy and indeterminate values of the demand rate, in this research we use the neutrosophic concepts of static model of inventory management without deficit and ideal volume which we have in last research, for most important neutrosophic economic indicators that play an important role in the administrative decision-making process about the functioning of production facilities and commercial establishments that have warehouses in which they keep their equipment, goods and manufactured and unmanufactured materials necessary for the production process and provide them with a future vision of the reality of their condition over time.
{"title":"Important Neutrosophic Economic Indicators of the Static Model of Inventory Management without Deficit","authors":"Maissam Jdid","doi":"10.54216/jnfs.050101","DOIUrl":"https://doi.org/10.54216/jnfs.050101","url":null,"abstract":"Inventory models are generally concerned with finding the volume of inventory to be kept to ensure the continuity of work, which achieves the facility with the lowest cost and the greatest profit, and since the ideal volume is affected by the rate of demand for inventory, in previous research [5] we studied the static model without a deficit according to the neutrosophic logic and we came to a relationship that we calculate through which the ideal size of inventory, the result was a neutrosophic value that takes into account all the fluctuations and changes that administrators may encounter during the course of work through the indeterminacy and indeterminate values of the demand rate, in this research we use the neutrosophic concepts of static model of inventory management without deficit and ideal volume which we have in last research, for most important neutrosophic economic indicators that play an important role in the administrative decision-making process about the functioning of production facilities and commercial establishments that have warehouses in which they keep their equipment, goods and manufactured and unmanufactured materials necessary for the production process and provide them with a future vision of the reality of their condition over time.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132977039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this short note we show that the newly introduced concept of Neutro-Intelligent Set (NIS) deserves attention in its applications to the human brain activity, and that NIS is a particular case of the Refined Neutrosophic Set.
{"title":"Neutro-Intelligent Set is a particular case of the Refined Neutrosophic Set","authors":"F. .., S. Broumi","doi":"10.54216/jnfs.010103","DOIUrl":"https://doi.org/10.54216/jnfs.010103","url":null,"abstract":"In this short note we show that the newly introduced concept of Neutro-Intelligent Set (NIS) deserves attention in its applications to the human brain activity, and that NIS is a particular case of the Refined Neutrosophic Set.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132409738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Katy D. Ahmad, Mikail Bal, Arwa A. Hajjari, Rozina Ali
The Objective of this paper is to study the group of units problem in two different kinds of neutrosophic structures (neutrosophic rings and refined neutrosophic rings), where we use the concept of AH-isometry to classify neutrosophic ringsrefined neutrosophic rings as direct products of classical rings with itself. Also, this classification will lead to the algebraic structure of the corresponding group of units.
{"title":"Novel Applications Of Neutrosophic AH-Isometries To The Group Of Units Problem In Neutrosophic Rings and Refined Neutrosophic Rings","authors":"Katy D. Ahmad, Mikail Bal, Arwa A. Hajjari, Rozina Ali","doi":"10.54216/jnfs.010205","DOIUrl":"https://doi.org/10.54216/jnfs.010205","url":null,"abstract":"The Objective of this paper is to study the group of units problem in two different kinds of neutrosophic structures (neutrosophic rings and refined neutrosophic rings), where we use the concept of AH-isometry to classify neutrosophic ringsrefined neutrosophic rings as direct products of classical rings with itself. Also, this classification will lead to the algebraic structure of the corresponding group of units.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115874025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Prem Kumar Singh, Katy D. Ahmad, Mikail Bal, Malath Aswad
In this paper, we define for the first time the concept of symbolic Turiyam ring as a direct application of Turiyam symbolic set and as a new generalization of neutrosophic rings. Also, we study many of essential properties and related concepts of these rings such as AH-ideals and subrings. On the other hand, we illustrate many examples to clarify the validity of our work.
{"title":"On The Symbolic Turiyam Rings","authors":"Prem Kumar Singh, Katy D. Ahmad, Mikail Bal, Malath Aswad","doi":"10.54216/jnfs.010204","DOIUrl":"https://doi.org/10.54216/jnfs.010204","url":null,"abstract":"In this paper, we define for the first time the concept of symbolic Turiyam ring as a direct application of Turiyam symbolic set and as a new generalization of neutrosophic rings. Also, we study many of essential properties and related concepts of these rings such as AH-ideals and subrings. On the other hand, we illustrate many examples to clarify the validity of our work.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116353897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper we have described a multi-objective economic production quantity (EPQ) model with uniform demand rate as well as shortages. In this model we have considered the production rate as finite. Due to uncertainty in the various cost parameters, most of the costs parameters are taken as pentagonal fuzzy number. The model has been solved by Fuzzy Non-Linear Programming Problem (FNLP), Fuzzy Additive Goal Programming Problem (FAGP) and Intuitionistic fuzzy programming approach (IFP).To demonstrate the validity of this model some numerical examples have been given lastly. The sensitivity analysis for some cost parameters has also been given.
{"title":"A Multi Objective Epq Model with Uniform Demand and Productıon Rate Along Wıth Shortages Under Intuitioistic Fuzzy Programmıng Approach","authors":"K. Das, S. Islam","doi":"10.54216/jnfs.060105","DOIUrl":"https://doi.org/10.54216/jnfs.060105","url":null,"abstract":"In this paper we have described a multi-objective economic production quantity (EPQ) model with uniform demand rate as well as shortages. In this model we have considered the production rate as finite. Due to uncertainty in the various cost parameters, most of the costs parameters are taken as pentagonal fuzzy number. The model has been solved by Fuzzy Non-Linear Programming Problem (FNLP), Fuzzy Additive Goal Programming Problem (FAGP) and Intuitionistic fuzzy programming approach (IFP).To demonstrate the validity of this model some numerical examples have been given lastly. The sensitivity analysis for some cost parameters has also been given.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"186 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131954663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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