In this paper, basic concepts of semigraph is introduced based on intuitionistic set. Definition of Intuitionistic Semigraph is introduced andUnion, intersection, and complement of intuitionistic semigraph is studied with graph.
本文介绍了基于直觉集的半图的基本概念。引入了直觉半图的定义，用图研究了直觉半图的并、交、补。
{"title":"Introduction to Intuitionistic Semigraph","authors":"S. -, B. ., E. Sampathkumar","doi":"10.54216/jnfs.030102","DOIUrl":"https://doi.org/10.54216/jnfs.030102","url":null,"abstract":"In this paper, basic concepts of semigraph is introduced based on intuitionistic set. Definition of Intuitionistic Semigraph is introduced andUnion, intersection, and complement of intuitionistic semigraph is studied with graph.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"77 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":"122532754","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, Turiyam set is introduced to deal with data set beyond three-way fuzzy space. In this process a problem is addressed while precise representation of Turiyam attributes in matrix format for knowledge processing tasks. To resolve this issue, current paper defines concept of symbolic Turiyam matrix by using the symbolic Turiyam set concept. In addition, the paper illustrates several examples to clarify the algebraic structure of these matrices such as addition, multiplication, and symmetry of these matrices.
{"title":"A Short Introduction To The Concept Of Symbolic Turiyam Matrix","authors":"Mikail Bal, Prem Kumar Singh, Katy D. Ahmad","doi":"10.54216/jnfs.020108","DOIUrl":"https://doi.org/10.54216/jnfs.020108","url":null,"abstract":"Recently, Turiyam set is introduced to deal with data set beyond three-way fuzzy space. In this process a problem is addressed while precise representation of Turiyam attributes in matrix format for knowledge processing tasks. To resolve this issue, current paper defines concept of symbolic Turiyam matrix by using the symbolic Turiyam set concept. In addition, the paper illustrates several examples to clarify the algebraic structure of these matrices such as addition, multiplication, and symmetry of these matrices.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"3 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":"121356168","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}
Recent time many researchers focused on dealing the uncertainty and its characterization. The precise approximation of uncertainty in many-valued data set is one of the major tasks. It becomes more difficult in case the given data sets are non-Euclidean. Hence the rough fuzzy set and its graphical visualization is introduced in this paper for knowledge processing tasks.
{"title":"Data with Rough Attributes and Its Reduct Analysis","authors":"Prem Kumar Singh","doi":"10.54216/jnfs.020104","DOIUrl":"https://doi.org/10.54216/jnfs.020104","url":null,"abstract":"Recent time many researchers focused on dealing the uncertainty and its characterization. The precise approximation of uncertainty in many-valued data set is one of the major tasks. It becomes more difficult in case the given data sets are non-Euclidean. Hence the rough fuzzy set and its graphical visualization is introduced in this paper for knowledge processing tasks.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"32 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":"114854087","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 objective of this paper is to suggest two new conjectures concerning the invertible elements in 3-cyclic, and 4-cyclic refined neutrosophic rings of integers, where the invertibility condition shows that the solution of some Diophantine equations may determine the classification of the group of units of these algebraic rings.
{"title":"Conjectures for Invertible Diophantine Equations Of 3-Cyclic and 4-Cyclic Refined Integers","authors":"O. V. Shtawzen","doi":"10.54216/jnfs.030203","DOIUrl":"https://doi.org/10.54216/jnfs.030203","url":null,"abstract":"The objective of this paper is to suggest two new conjectures concerning the invertible elements in 3-cyclic, and 4-cyclic refined neutrosophic rings of integers, where the invertibility condition shows that the solution of some Diophantine equations may determine the classification of the group of units of these algebraic rings.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"130 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132027194","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 terrible consequences that floods are having on human life and property can be seen all around the globe. The flood risks management problem is subject to uncertain and imprecise data, and it is influenced by several different factors. As a result, the assessment procedure in question might be seen as an instance of a challenging uncertain multi-criteria decision-making (MCDM) issue. Within the context of single-valued neutrosophic sets (SVNSs), this research aims to present a novel integrated methodology that is based on the Combined Compromise Solution (CoCoSo) technique under a neutrosophic environment. Both the decision-makers and the weights of the criteria are completely unknown. The average technique is used in the proposed methodology to calculate the weighting of the criteria, and an updated version of the CoCoSo method is used within the context of the SVN to decide which option is the most appropriate. In addition, an example case study of flood risk management is explored to highlight the entire execution process of the suggested technique. In addition, a comparison with other approaches that already exist is described to evaluate the validity of the results that were achieved.
{"title":"Neutrosophic Multi-Criteria Decision-Making for Flood Risks Management: A Comprehensive Analysis","authors":"A. Salamai","doi":"10.54216/jnfs.050204","DOIUrl":"https://doi.org/10.54216/jnfs.050204","url":null,"abstract":"The terrible consequences that floods are having on human life and property can be seen all around the globe. The flood risks management problem is subject to uncertain and imprecise data, and it is influenced by several different factors. As a result, the assessment procedure in question might be seen as an instance of a challenging uncertain multi-criteria decision-making (MCDM) issue. Within the context of single-valued neutrosophic sets (SVNSs), this research aims to present a novel integrated methodology that is based on the Combined Compromise Solution (CoCoSo) technique under a neutrosophic environment. Both the decision-makers and the weights of the criteria are completely unknown. The average technique is used in the proposed methodology to calculate the weighting of the criteria, and an updated version of the CoCoSo method is used within the context of the SVN to decide which option is the most appropriate. In addition, an example case study of flood risk management is explored to highlight the entire execution process of the suggested technique. In addition, a comparison with other approaches that already exist is described to evaluate the validity of the results that were achieved.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"13 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":"124208665","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 aim of This paper is to define for the first time the concept of symbolic Turiyam group. This work is devoted to study some elementary properties of symbolic Turiyam groups and to establish the algebraic basis of this structure such as symbolic Turiyam subgroups, symbolic Turiyam homomorphisms, and symbolic Turiyam isomorphisms.
{"title":"An Introduction to The Symbolic Turiyam Groups and AH-Substructures","authors":"A. .., Katy D. Ahmad, Rozina Ali","doi":"10.54216/jnfs.030205","DOIUrl":"https://doi.org/10.54216/jnfs.030205","url":null,"abstract":"The aim of This paper is to define for the first time the concept of symbolic Turiyam group. This work is devoted to study some elementary properties of symbolic Turiyam groups and to establish the algebraic basis of this structure such as symbolic Turiyam subgroups, symbolic Turiyam homomorphisms, and symbolic Turiyam isomorphisms.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"74 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":"114842478","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, confidence intervals for neutrosophic statistical populations were driven in many cases. Firstly, confidence intervals for one neutrosophic normal population parameters were driven including population’s mean which was driven under the assumption that variance is known, then it was driven under the assumption that variance is unknown and estimated based on the sample. Confidence interval for the neutrosophic variance was also driven based on sample’s estimates. Secondly, confidence intervals for two neutrosophic normal populations were driven including confidence intervals for means differences when variance are known or unknown, also confidence intervals for variances ratio for two populations were driven. All theorems and calculations were done using the AH-Isometry. Suitable numerical examples were presented and solved successfully.
{"title":"Algebraic Approach to Neutrosophic Confidence Intervals","authors":"Abdulrahman Astambli, M. B. Zeina, Yasin Karmouta","doi":"10.54216/jnfs.050201","DOIUrl":"https://doi.org/10.54216/jnfs.050201","url":null,"abstract":"In this paper, confidence intervals for neutrosophic statistical populations were driven in many cases. Firstly, confidence intervals for one neutrosophic normal population parameters were driven including population’s mean which was driven under the assumption that variance is known, then it was driven under the assumption that variance is unknown and estimated based on the sample. Confidence interval for the neutrosophic variance was also driven based on sample’s estimates. Secondly, confidence intervals for two neutrosophic normal populations were driven including confidence intervals for means differences when variance are known or unknown, also confidence intervals for variances ratio for two populations were driven. All theorems and calculations were done using the AH-Isometry. Suitable numerical examples were presented and solved successfully.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"31 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":"114664808","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}
This paper is dedicated to study the group of units (Von Shtawzen's group) of some numerical n-cyclic refined neutrosophic rings such as integer, rational, and real case. Where we write the elements of these abelian groups by using equations derived from the values of some circulant numerical determinants.
{"title":"A Short Contribution To Von Shtawzen's Abelian Group In n-Cyclic Refined Neutrosophic Rings","authors":"A. .., Katy D. Ahmad, Rozina Ali","doi":"10.54216/jnfs.030206","DOIUrl":"https://doi.org/10.54216/jnfs.030206","url":null,"abstract":"This paper is dedicated to study the group of units (Von Shtawzen's group) of some numerical n-cyclic refined neutrosophic rings such as integer, rational, and real case. Where we write the elements of these abelian groups by using equations derived from the values of some circulant numerical determinants.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"19 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":"124684084","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}
Mikail Bal, Katy D. Ahmad, Arwa A. Hajjari, Rozina Ali
This paper solves the imperfect triplets problem in refined neutrosophic rings, where it presents the necessary and sufficient conditions for a triple (x,y,z) to be an imperfect triplet in any refined neutrosophic ring. Also, this work introduces a full description of the structure of imperfect triplets in numerical refined neutrosophic rings such as refined neutrosophic ring of integers Z(I1,I2) , refined neutrosophic ring of rationales Q(I1,I2), and refined neutrosophic ring or real numbers (R(I1,I2).
{"title":"The Structure Of Imperfect Triplets In Several Refined Neutrosophic Rings","authors":"Mikail Bal, Katy D. Ahmad, Arwa A. Hajjari, Rozina Ali","doi":"10.54216/jnfs.020103","DOIUrl":"https://doi.org/10.54216/jnfs.020103","url":null,"abstract":"This paper solves the imperfect triplets problem in refined neutrosophic rings, where it presents the necessary and sufficient conditions for a triple (x,y,z) to be an imperfect triplet in any refined neutrosophic ring. Also, this work introduces a full description of the structure of imperfect triplets in numerical refined neutrosophic rings such as refined neutrosophic ring of integers Z(I1,I2) , refined neutrosophic ring of rationales Q(I1,I2), and refined neutrosophic ring or real numbers (R(I1,I2).","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"76 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":"127443188","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 aim of this paper is to define the concept of kernel subgroup of a fuzzy group and anti-fuzzy group respectively. Also, we prove that these kernels are groups in the ordinary algebraic meaning, as well as presenting many results about fuzzy groups and anti-fuzzy groups.
{"title":"The Kernel Of Fuzzy and Anti-Fuzzy Groups","authors":"Katy D. Ahmad, Mikail Bal, Malath Aswad","doi":"10.54216/jnfs.010105","DOIUrl":"https://doi.org/10.54216/jnfs.010105","url":null,"abstract":"The aim of this paper is to define the concept of kernel subgroup of a fuzzy group and anti-fuzzy group respectively. Also, we prove that these kernels are groups in the ordinary algebraic meaning, as well as presenting many results about fuzzy groups and anti-fuzzy groups.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"78 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":"127132302","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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