{"title":"A Review On Some Concepts and Open Questions In Neutrosophic Algebraic Structures","authors":"Rozina Ali","doi":"10.54216/IJNS.140105","DOIUrl":"https://doi.org/10.54216/IJNS.140105","url":null,"abstract":"The aim of this paper is to present a study about recent progressions in the study of neutrosophic algebraic structures. Also, it lists the most interesting open questions about neutrosophic algebraic structures such as neutrosophic rings, refined neutrosophic rings, and n-refined neutrosophic rings. On the other hand, a study on the neutrosophic rings of complex numbers has been presented, with many Smarandache-Kandasamy open problems about the properties of these numbers, especially algebraic ones.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121971380","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}
{"title":"Leading From Powerlessness: A Third-way Neutrosophic Leadership Model For Developing Countries","authors":"V. Christianto, F. Smarandache","doi":"10.54216/IJNS.130205","DOIUrl":"https://doi.org/10.54216/IJNS.130205","url":null,"abstract":"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.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"136 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116389868","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}
{"title":"Neutrosophic Soft Filter Structures Concerning Soft Points","authors":"Naime Demirtaş, A. Demirtas","doi":"10.54216/IJNS.130201","DOIUrl":"https://doi.org/10.54216/IJNS.130201","url":null,"abstract":"In this paper, the concept of neutrosophic soft filter (NSF) and its basic properties are introduced. Later, we set up a neutrosophic soft topology with the help of an NSF. We also give the notions of the greatest lower bound and the least upper bound of the family of neutrosophic soft filters (NSFs), NSF subbase, NSF base and explore some basic properties of them.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131719791","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}
{"title":"A New Multi-Attribute Decision Making Method with Single-Valued Neutrosophic Graphs","authors":"Juanjuan Ding, Wenhui Bai, Chao Zhang","doi":"10.5281/ZENODO.4129304","DOIUrl":"https://doi.org/10.5281/ZENODO.4129304","url":null,"abstract":"In most realistic situations, the theory and method of multi-attribute decision-making have been widely used in different fields, such as engineering, economy, management, military, and others. Although many studies in some extended fuzzy contexts have been explored with multi-attribute decision-making, it is widely recognized that single-valued neutrosophic sets can describe incomplete, indeterminate and inconsistent information more easier. In this paper, aiming at addressing multi-attribute decision-making problems with single-valued neutrosophic information, related models and multi-attribute decision-making approaches based on the fuzzy graph theory are studied. In specific, the notion of single-valued neutrosophic sets and graphs is firstly introduced together with several common operational laws. Then a multi-attribute decision making method based on single-valued neutrosophic graphs is established. Finally, an illustrative example and a comparative analysis are conducted to verify the feasibility and efficiency of the proposed method.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126687159","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}
{"title":"Quadripartitioned Neutrosophic Pythagorean Soft Set","authors":"R. Radha, A. Mary, F. Smarandache","doi":"10.54216/IJNS.140101","DOIUrl":"https://doi.org/10.54216/IJNS.140101","url":null,"abstract":"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","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130281269","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}
{"title":"COVID-19 Decision-Making Model using Extended Plithogenic Hypersoft Sets with Dual Dominant Attributes","authors":"N. Martin, F. Smarandache, Broumi Said","doi":"10.54216/IJNS.130204","DOIUrl":"https://doi.org/10.54216/IJNS.130204","url":null,"abstract":"Plithogenic Hypersoft set is the multi-argument function with plithogenic universe of discourse and single dominant attribute value. The theory of plithogenic sets deals with the attributes and it is of the form (P, a, V, d, c) characterized by the degree of appurtenance and contradiction. This paper introduces the approach of plithogenic hypersoft sets with two independent dominant attribute values pertaining to each attribute to handle the dual system of decision making. The proposed decision-making model is validated with the data of the present COVID -19 pandemic situations. The objective of the model is to rank the patients being identified as asymptotic and affected using the Frequency Matrix Multi Attributes Decision-making system. Combined plithogenic hypersoft representations of the degree of appurtenance between the patients and the attribute values make the decision-making model more comprehensive and feasible. The developed model can be extended to another decision-making environment with various forms of the degree of appurtenance.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128826498","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}
{"title":"Neutrosophic δ-Open Maps and Neutrosophic δ-Closed Maps","authors":"A. Vadivel, C. John Sundar","doi":"10.54216/IJNS.130203","DOIUrl":"https://doi.org/10.54216/IJNS.130203","url":null,"abstract":"The neutrosophic δ-open set is one of the strongest forms of neutrosophic topological spaces. In this article, we introduce the concept of neutrosophic δ-open maps and neutrosophic δ-closed maps and investigate their neighbor maps such as δS, δp & e* open maps and closed maps of neutrosophic topological spaces. Also, we analyze some of their related properties and extension to neutrosophic e*- homeomorphism and neutrosophic e* T½-space in neutrosophic topological spaces. Furthermore, these kinds of δ-open functions have strong application in the area of neural networks and image processing theory.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132838987","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}
{"title":"A Study of the Integration of Neutrosophic Thick Function","authors":"M. Alaswad","doi":"10.5281/ZENODO.3841632","DOIUrl":"https://doi.org/10.5281/ZENODO.3841632","url":null,"abstract":"In this paper, the definition of neutrosophic thick function and its integral are introduced. The main objective is defining a differential linear equation based on the thick function and finding solutions for this equation.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114471028","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}
{"title":"A short remark on Gödel incompleteness theorem and its self-referential paradox from Neutrosophic Logic perspective","authors":"V. Christianto, F. Smarandache","doi":"10.5281/ZENODO.3908371","DOIUrl":"https://doi.org/10.5281/ZENODO.3908371","url":null,"abstract":"It is known from history of mathematics, that Gödel submitted his two incompleteness theorems, which can be considered as one of hallmarks of modern mathematics in 20th century. Here we argue that Gödel incompleteness theorem and its self-referential paradox have not only put Hilbert’s axiomatic program into question, but he also opened up the problem deep inside the then popular Aristotelian Logic. Although there were some attempts to go beyond Aristotelian binary logic, including by Lukasiewicz’s three-valued logic, here we argue that the problem of self-referential paradox can be seen as reconcilable and solvable from Neutrosophic Logic perspective. Motivation of this paper: These authors are motivated to re-describe the self-referential paradox inherent in Godel incompleteness theorem. Contribution: This paper will show how Neutrosophic Logic offers a unique perspective and solution to Godel incompleteness theorem.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129600608","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}
{"title":"Remark on Neutrosophic Genetics: A generalized way towards five schemes of Mutation and Transmutation","authors":"V. Christianto","doi":"10.54216/IJNS.140103","DOIUrl":"https://doi.org/10.54216/IJNS.140103","url":null,"abstract":"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.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126119051","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}