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International Journal of Neutrosophic Science最新文献

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An Approach To Symbolic n-Plithogenic Square Real Matrices For 9≤ n ≤12 9≤n≤12的符号n-生成平方实矩阵的一种方法
International Journal of Neutrosophic Science Pub Date : 2023-01-01 DOI: 10.54216/ijns.220204
Abuobida M. A. Alfahal, Barbara .., Raja Abdullah Abdulfatah, Yaser Ahmad Alhasan, Husain Alhayek
{"title":"An Approach To Symbolic n-Plithogenic Square Real Matrices For 9≤ n ≤12","authors":"Abuobida M. A. Alfahal, Barbara .., Raja Abdullah Abdulfatah, Yaser Ahmad Alhasan, Husain Alhayek","doi":"10.54216/ijns.220204","DOIUrl":"https://doi.org/10.54216/ijns.220204","url":null,"abstract":"The concept of symbolic n-plithogenic algebraic matrices as symmetric structures with n+1 symmetric classical components with the special definition of the multiplication operation. This paper is dedicated to studying the properties of symbolic 10, and 9-plithogenic real square matrices and 11, 12-plithogenic real matrices from algebraic point of view, where algorithms for computing the eigenvalues and determinants will be proved. Also, the inverse of a symbolic n-plithogenic matrix for the special values n=10, n=9, n=11, and n=12 will be presented.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135700902","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}
引用次数: 0
On Neutrosophic D –Topological Spaces 关于中性D -拓扑空间
International Journal of Neutrosophic Science Pub Date : 2023-01-01 DOI: 10.54216/ijns.220301
Amer Khrija Abed, Ekram Abd Ali, Ahmed Salam Razzaq, Qays Hatem Imran, Said Broumi
{"title":"On Neutrosophic D –Topological Spaces","authors":"Amer Khrija Abed, Ekram Abd Ali, Ahmed Salam Razzaq, Qays Hatem Imran, Said Broumi","doi":"10.54216/ijns.220301","DOIUrl":"https://doi.org/10.54216/ijns.220301","url":null,"abstract":"In this paper, we redefine the dense neutrosophic set operations and, by using them, we introduce new definition for topological space in neutrosophic topological space and also gives the basic specifications for the new definitions of neutrosophic topological space in neutrosophic topological space, we also obtained some properties that show the relationship between neutrosophic topological space and neutrosophic semi-open sets in the neutrosophic topological space, we also studied image characterization and preimages of neutrosophic topological space .","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136367581","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}
引用次数: 0
Study on Student’s Performance using Single Valued Decagonal Neutrosophic Number in Decision Making Problem 用单值十面中性数研究学生决策问题的表现
International Journal of Neutrosophic Science Pub Date : 2023-01-01 DOI: 10.54216/ijns.220206
S. Gomathy, B. Shoba, A. Rajkumar, Broumi Said
{"title":"Study on Student’s Performance using Single Valued Decagonal Neutrosophic Number in Decision Making Problem","authors":"S. Gomathy, B. Shoba, A. Rajkumar, Broumi Said","doi":"10.54216/ijns.220206","DOIUrl":"https://doi.org/10.54216/ijns.220206","url":null,"abstract":"This article presents a new single valued decagonal Neutrosophic number. The single valued decagonal Neutrosophic number is Deneutrosophicated with the help of bounded area method. The bounded area formula is derived. The single valued decagonal Neutrosophic number is used in the decision-making problem. The performance of students is analyzed using a ranking method. The attributes are taken from the problems related to students and teachers. The attributes are ranked through the single valued decagonal Neutrosophic number.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135652261","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}
引用次数: 0
Algorithm for possibility interval-valued neutrosophic soft decision-making based on distance measures settings 基于距离测度设置的可能性区间值中性软决策算法
International Journal of Neutrosophic Science Pub Date : 2023-01-01 DOI: 10.54216/ijns.220304
Faisal Al Al-Sharqi, Ashraf Al Al-Quran, Noor Kareem Assi Halaf, Mona Aladil, Maha M. Rasheed
{"title":"Algorithm for possibility interval-valued neutrosophic soft decision-making based on distance measures settings","authors":"Faisal Al Al-Sharqi, Ashraf Al Al-Quran, Noor Kareem Assi Halaf, Mona Aladil, Maha M. Rasheed","doi":"10.54216/ijns.220304","DOIUrl":"https://doi.org/10.54216/ijns.220304","url":null,"abstract":"Soft set(SS) is one of the soft computing techniques that plays an important role in addressing the hiddenness and uncertainty associated with uncertain data. In other hand the idea of interval-valued neutrosophic soft sets (IVNSSs) is a new generalization of the neutrosophic soft sets to the neutrosophic sets when the authors combine the critical features of IVNS and soft sets (SSs) in one model. Accordingly, this model worked to provide decision-makers with more flexibility in the process of interpreting uncertain information. From a scientific point of view, the process of evaluating this high-performance IVNSS disappears. Therefore, in this paper, we initiated a new approach known as possibility interval-valued neutrosophic soft sets (PIVNSSs) as a new development in a fuzzy soft computing environment. We investigate some fundamental operations on PIVNSSs along with their basic properties. Also, we investigate AND and OR operations between two PIVNSSs as well as several numerical examples to clarify the above fundamental operations. Finally, we have given distance measures (DM) between two PIVNSSs to construct a new algorithm that is used to demonstrate the effectiveness of the method in handling some real-life applications.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135008152","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}
引用次数: 0
Bipolar Triangular Neutrosophic Chromatic Numbers with the Application of traffic light system 双极三角形嗜中性色数及其在交通灯系统中的应用
International Journal of Neutrosophic Science Pub Date : 2023-01-01 DOI: 10.54216/ijns.220205
S. Sudha, B. Shoba, A. Rajkumar, Broumi Said
{"title":"Bipolar Triangular Neutrosophic Chromatic Numbers with the Application of traffic light system","authors":"S. Sudha, B. Shoba, A. Rajkumar, Broumi Said","doi":"10.54216/ijns.220205","DOIUrl":"https://doi.org/10.54216/ijns.220205","url":null,"abstract":"For addressing issues in several domains, such as theoretical computer science, engineering, physics, combinatorics, and the medical sciences, graph theory is a crucial component of mathematics. Graph coloring is one of the new settings that is emerging in a neutrosophic chromatic number environment. In addition to introducing the idea of bipolar triangular neutrosophic chromatic graphs (BTNCG), this work also examines and demonstrates the algebraic assumption. The proposed concept has been applied in a traffic signal system to discover a new lane to avoid traffic in peak hours.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135700904","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}
引用次数: 0
On Weak Fuzzy Complex Pythagoras Quadruples 弱模糊复毕达哥拉斯四重组
International Journal of Neutrosophic Science Pub Date : 2023-01-01 DOI: 10.54216/ijns.220209
Fredy Canizares Galarza, Marcos Lalama Flores, Diego Palma Rivero, Mohammad Abobala
{"title":"On Weak Fuzzy Complex Pythagoras Quadruples","authors":"Fredy Canizares Galarza, Marcos Lalama Flores, Diego Palma Rivero, Mohammad Abobala","doi":"10.54216/ijns.220209","DOIUrl":"https://doi.org/10.54216/ijns.220209","url":null,"abstract":"In this work, we study the generating of Pythagoras quadruples in the sets of weak fuzzy complex integers and anti-weak fuzzy complex integers, where we present sufficient and necessary conditions for generating Pythagoras quadruples in the mentioned sets. Also, we present many examples to clarify our work's validity and novelty.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135844508","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}
引用次数: 0
Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making 基于多准则群决策的不同聚合算子的中性区间值软集泛化
International Journal of Neutrosophic Science Pub Date : 2023-01-01 DOI: 10.54216/ijns.220109
M. Palanikumar, Aiyared Iampan, Said Broumi, G G.Balaji
{"title":"Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making","authors":"M. Palanikumar, Aiyared Iampan, Said Broumi, G G.Balaji","doi":"10.54216/ijns.220109","DOIUrl":"https://doi.org/10.54216/ijns.220109","url":null,"abstract":"In this paper, we present the Pythagorean neutrosophic interval valued fuzzy soft set. This is a generalization of the Pythagorean interval valued fuzzy soft set as well as the neutrosophic interval valued fuzzy soft set. It is discussed in this paper how an aggregated operation is used to aggregate the decision matrix of PNIVS. There are a number of extensions to the normosophic fuzzy soft sets that involve the use of multi-criteria decisionmaking. The aim of this study is to develop a score function based on aggregating TOPSIS methods in order to find ideal solutions for PNIVS that have both positive and negative values. The purpose of this study is to identify the optimal alternative under closeness conditions. It gives us the opportunity to interact with two real life problems, such as the production of ten different types of motorbikes by an automobile company. According to this set of parameters, a motorbike is determined by the fuel tank capacity, better styling, a better price, more mileage, durable, and other factors that determine how a customer can choose which bike to buy.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"98 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135500801","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}
引用次数: 1
Multi-criteria group decision making method in Pythagorean interval-valued neutrosophic fuzzy soft soft using VIKOR approach 毕达哥拉斯区间值中性模糊软中的多准则群决策方法采用VIKOR方法
International Journal of Neutrosophic Science Pub Date : 2023-01-01 DOI: 10.54216/ijns.220108
M. Palanikumar, Aiyared Iampan, Said Broumi, Lejo J Manavalan, K. Sundareswari
{"title":"Multi-criteria group decision making method in Pythagorean interval-valued neutrosophic fuzzy soft soft using VIKOR approach","authors":"M. Palanikumar, Aiyared Iampan, Said Broumi, Lejo J Manavalan, K. Sundareswari","doi":"10.54216/ijns.220108","DOIUrl":"https://doi.org/10.54216/ijns.220108","url":null,"abstract":"In contrast to the Pythagorean interval valued fuzzy soft set and the neutrosophic interval valued fuzzy soft set, the Pythagorean neutrosophic interval valued fuzzy soft set is a generalization of these sets. We discuss aggregating PyNIVFS decision matrixes by using aggregated operations. The VIKOR method, which is an extension of neutrosophic fuzzy soft sets, is a powerful method for evaluating multi-criteria group decision making. The score function in this approach is based on the aggregation of the VIKOR method to a PyNIVFSpositive and negative solution. Optimal alternatives are introduced under closeness. An investment company plans to purchase some shares of the top five companies in the stock exchange to invest some money on. In order to minimize this factor, they decided to invest some of their cash in percentages of 30 dollars, 25 dollars, 20 dollars, 15 dollars and","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"188 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135500805","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}
引用次数: 1
Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields q -络合物中性软场的代数结构探讨
International Journal of Neutrosophic Science Pub Date : 2023-01-01 DOI: 10.54216/ijns.220408
Mamika Ujianita Romdhini, Ashraf Al Al-Quran, Faisal Al Al-Sharqi, Mohammad K. Tahat, Abdalwali Lutfi
{"title":"Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields","authors":"Mamika Ujianita Romdhini, Ashraf Al Al-Quran, Faisal Al Al-Sharqi, Mohammad K. Tahat, Abdalwali Lutfi","doi":"10.54216/ijns.220408","DOIUrl":"https://doi.org/10.54216/ijns.220408","url":null,"abstract":"A field is a fundamental algebraic structure that finds extensive applications in algebra and various mathematical domains. On the other hand, a Q-complex neutrosophic soft set (Q-CNSS) is a unique hybrid model that combines the characteristics of soft sets and neutrosophic sets within a complex number framework. It utilizes the effectiveness of Q-set as a powerful tool in the domain of this particular model. In this article, we leverage this model to define fields under uncertainty. We present the Q-complex neutrosophic soft field (Q-CNSF) and examine the unique algebraic properties associated with this model. Additionally, we explore the relationships between Q-CNSF and Q-neutrosophic soft field (Q-NSF). Furthermore, we define the Cartesian product of QCNSFs and delve into the relevant properties. Through this comprehensive exploration, our aim is to enhance the understanding of Q-CNSFs and their properties, ultimately contributing to the field of algebraic analysis and its practical applications in handling uncertainty and vagueness.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135447221","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}
引用次数: 0
Polynomial ideals of a ring based on neutrosophic sets 基于中性集的环的多项式理想
International Journal of Neutrosophic Science Pub Date : 2023-01-01 DOI: 10.54216/ijns.220401
A. Priya, P. Maragatha Meenakshi, Aiyared Iampan, N. Rajesh
{"title":"Polynomial ideals of a ring based on neutrosophic sets","authors":"A. Priya, P. Maragatha Meenakshi, Aiyared Iampan, N. Rajesh","doi":"10.54216/ijns.220401","DOIUrl":"https://doi.org/10.54216/ijns.220401","url":null,"abstract":"In this paper, we introduce the notion of the neutrosophic polynomial ideal Ax of a polynomial ring R[x] induced by a neutrosophic ideal A of a ring R and obtain an isomorphism theorem of a ring of neutrosophic cosets of Ax. It is shown that a neutrosophic ideal A of a ring is a neutrosophic prime if and only if Ax is a neutrosophic prime ideal of R[x].","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134887901","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}
引用次数: 0
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