Fuzzy soft set are introduced by author Molodtsov, which is solve imprecise problems in the field of engineering, social science, economic, medical secience and environment. This paper addresses the study of domination in fuzzy soft graphs. By using the concept of strength of a path, strength of connectedness and strong arc, domination set is established. The necessary and sufficient condition for the minimum domination set of FSG is investigated. Further some properties of independent domination number of FSG are obtained and the proposed concepts are described with suitable examples. Finally, we state and prove some results related to these concepts.
{"title":"Domination in Fuzzy Soft Graphs","authors":"R. J. Hussain, S. S. Hussain","doi":"10.22457/ijfma.v14n2a8","DOIUrl":"https://doi.org/10.22457/ijfma.v14n2a8","url":null,"abstract":"Fuzzy soft set are introduced by author Molodtsov, which is solve imprecise problems in the field of engineering, social science, economic, medical secience and environment. This paper addresses the study of domination in fuzzy soft graphs. By using the concept of strength of a path, strength of connectedness and strong arc, domination set is established. The necessary and sufficient condition for the minimum domination set of FSG is investigated. Further some properties of independent domination number of FSG are obtained and the proposed concepts are described with suitable examples. Finally, we state and prove some results related to these concepts.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"33 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":"127708066","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 the present paper, we introduce the notions of intuitionistic fuzzy WI-ideal and intuitionistic fuzzy lattice ideal of lattice Wajsberg algebras. We show that every intuitionistic fuzzy WI-ideal of lattice Wajsberg algebra is an intuitionistic fuzzy lattice ideal of lattice Wajsberg algebra. Also, we discuss its converse part. Further, we obtain every intuitionistic fuzzy lattice ideal is an intuitionistic fuzzy WI-ideal in lattice H-Wajsberg algebra. Moreover, we discuss some characterizations of intuitionistic fuzzy WI-ideal.
{"title":"Intuitionistic Fuzzy WI-Ideals of Lattice Wajsberg Algebras","authors":"A. Ibrahim, C. Begum","doi":"10.22457/ijfma.v15n1a2","DOIUrl":"https://doi.org/10.22457/ijfma.v15n1a2","url":null,"abstract":"In the present paper, we introduce the notions of intuitionistic fuzzy WI-ideal and intuitionistic fuzzy lattice ideal of lattice Wajsberg algebras. We show that every intuitionistic fuzzy WI-ideal of lattice Wajsberg algebra is an intuitionistic fuzzy lattice ideal of lattice Wajsberg algebra. Also, we discuss its converse part. Further, we obtain every intuitionistic fuzzy lattice ideal is an intuitionistic fuzzy WI-ideal in lattice H-Wajsberg algebra. Moreover, we discuss some characterizations of intuitionistic fuzzy WI-ideal.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"124 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":"115668751","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}
K. Kumar, S. Lavanya, Sh. A. Safarisabet, A. Talebi, H. Rashmanlou
Recently, vague graph is a growing research topic as it is the generalization of fuzzy graphs. In this paper, we introduce intense subgraphs and feeble subgraphs based on their densities and discuss mild balanced vague graph and equally balanced vague subgraphs. The operations sum and union of subgraphs of vague graphs are analysed. Likewise, we investigated φ -complement of vague graph structure(VGS) and its isomorphic properties. Finally, an interesting application on vulnerability assessment of gas pipeline systems is given.
{"title":"New Concepts on Mild Balanced Vague Graphs with Application","authors":"K. Kumar, S. Lavanya, Sh. A. Safarisabet, A. Talebi, H. Rashmanlou","doi":"10.22457/ijfma.v15n1a4","DOIUrl":"https://doi.org/10.22457/ijfma.v15n1a4","url":null,"abstract":"Recently, vague graph is a growing research topic as it is the generalization of fuzzy graphs. In this paper, we introduce intense subgraphs and feeble subgraphs based on their densities and discuss mild balanced vague graph and equally balanced vague subgraphs. The operations sum and union of subgraphs of vague graphs are analysed. Likewise, we investigated φ -complement of vague graph structure(VGS) and its isomorphic properties. Finally, an interesting application on vulnerability assessment of gas pipeline systems is given.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"130 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":"116209623","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 consider an initial problem for systems of differential equations of fractional order with a small parameter for the derivative. Regularization problem is produced, and algorithm for normal and unique solubility of general iterative systems of differential equations with partial derivatives is given. In the environment of the computer mathematical system Maple, approximate solutions are calculated, and corresponding solution schedules for various values of the small parameter are constructed.
{"title":"Regularized Asymptotics of Solutions for Systems of Singularly Perturbed Differential Equations of Fractional Order","authors":"B. Kalimbetov","doi":"10.22457/ijfma.v16n1a9","DOIUrl":"https://doi.org/10.22457/ijfma.v16n1a9","url":null,"abstract":"In this paper we consider an initial problem for systems of differential equations of fractional order with a small parameter for the derivative. Regularization problem is produced, and algorithm for normal and unique solubility of general iterative systems of differential equations with partial derivatives is given. In the environment of the computer mathematical system Maple, approximate solutions are calculated, and corresponding solution schedules for various values of the small parameter are constructed.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","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":"122984370","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}
Fuzzy valued measure is a mapping which maps a σ- algebra to a set of fuzzy set with convex compact σ- level defined on banach space (β). In this paper, we investigate the notion of decomposition and representation of fuzzy valued measure (F.V.M) is given in the sequence of singular valued measure. Also we have been studied and develop the notion of integrals with the aid of F.V.M under closed intervals based on the proposed notions, we can prove relevant theorems.
{"title":"Fuzzy Valued Measure Based on Integral, Decomposition and Representation under Closed Intervals","authors":"D.Rajan, A.Beulah","doi":"10.22457/ijfma.v13n1a5","DOIUrl":"https://doi.org/10.22457/ijfma.v13n1a5","url":null,"abstract":"Fuzzy valued measure is a mapping which maps a σ- algebra to a set of fuzzy set with convex compact σ- level defined on banach space (β). In this paper, we investigate the notion of decomposition and representation of fuzzy valued measure (F.V.M) is given in the sequence of singular valued measure. Also we have been studied and develop the notion of integrals with the aid of F.V.M under closed intervals based on the proposed notions, we can prove relevant theorems.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"82 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":"121688856","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 obtain the solution of fuzzy fractional differential equation (FFDEs) under Riemann Liouville H-differentiability using fuzzy Laplace transform. To solve fractional differential equation involving hyperbolic cosine function, we use Riemann Liouville to obtain the unknown solution at initial point or the solution with increasing length of their Hukuhara support using the fuzzy Laplace transform. Research work on analytical method to solve the FFDEs under Riemann Liouville Hdifferentiability is limited in the literature. To confirm the capability of the proposed method we present a problem and its analytical solution.
本文利用模糊拉普拉斯变换，得到了模糊分数阶微分方程在Riemann - Liouville h -可微条件下的解。对于包含双曲余弦函数的分数阶微分方程，我们采用Riemann Liouville方法，利用模糊拉普拉斯变换得到初始点的未知解或随Hukuhara支持长度增加的解。在黎曼-刘维尔可微性条件下求解FFDEs的解析方法研究有限。为了验证该方法的有效性，我们给出了一个问题及其解析解。
{"title":"Solving Fuzzy Fractional Differential Equation with Fuzzy Laplace Transform Involving Coshx","authors":"S. R. Raj, J. Sangeetha","doi":"10.22457/ijfma.v14n2a6","DOIUrl":"https://doi.org/10.22457/ijfma.v14n2a6","url":null,"abstract":"In this paper we obtain the solution of fuzzy fractional differential equation (FFDEs) under Riemann Liouville H-differentiability using fuzzy Laplace transform. To solve fractional differential equation involving hyperbolic cosine function, we use Riemann Liouville to obtain the unknown solution at initial point or the solution with increasing length of their Hukuhara support using the fuzzy Laplace transform. Research work on analytical method to solve the FFDEs under Riemann Liouville Hdifferentiability is limited in the literature. To confirm the capability of the proposed method we present a problem and its analytical solution.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"24 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":"121996295","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 introduce the notion of fuzzy ideals in -algebras and investigate some of their properties. Mainly, we give an algebraic characterization for fuzzy ideals generated by fuzzy sets. Furthermore, it is proved that the class of fuzzy ideals of a −algebra forms an algebraic lattice.
{"title":"Fuzzy Ideals of C-Algebras","authors":"Berhanu Assaye Alaba, Gezahagne Mulat Addis","doi":"10.22457/ijfma.v16n1a4","DOIUrl":"https://doi.org/10.22457/ijfma.v16n1a4","url":null,"abstract":"In this paper, we introduce the notion of fuzzy ideals in -algebras and investigate some of their properties. Mainly, we give an algebraic characterization for fuzzy ideals generated by fuzzy sets. Furthermore, it is proved that the class of fuzzy ideals of a −algebra forms an algebraic lattice.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"179 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":"122055355","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}
Pub Date : 1900-01-01DOI: 10.22457/ijfma.v18n1a01212
B. Jyothi, P. N. Swamy
The aim of this paper is to study the notion of irreducible and strongly irreducible bi-ideal of a near-algebra and fuzzy concepts of a near-algebra. Also, some characterizations are presented.
本文的目的是研究近代数的不可约和强不可约双理想的概念以及近代数的模糊概念。此外，还介绍了一些特征。
{"title":"Irreducible and Strongly Irreducible Bi-ideals of a NearAlgebra","authors":"B. Jyothi, P. N. Swamy","doi":"10.22457/ijfma.v18n1a01212","DOIUrl":"https://doi.org/10.22457/ijfma.v18n1a01212","url":null,"abstract":"The aim of this paper is to study the notion of irreducible and strongly irreducible bi-ideal of a near-algebra and fuzzy concepts of a near-algebra. Also, some characterizations are presented.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"37 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":"122643854","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 the polynomial interpolation of triangular fuzzy number is discussed. First general form of the polynomial with fuzzy coefficients is proposed. The hermite interpolation method is studied with triangular fuzzy number an example is provided to illustrate the algorithm.
{"title":"Hermite Interpolation with Triangular Fuzzy Numbers","authors":"T. Beaula, P. C. Mary","doi":"10.22457/ijfma.v14n2a13","DOIUrl":"https://doi.org/10.22457/ijfma.v14n2a13","url":null,"abstract":"In this paper the polynomial interpolation of triangular fuzzy number is discussed. First general form of the polynomial with fuzzy coefficients is proposed. The hermite interpolation method is studied with triangular fuzzy number an example is provided to illustrate the algorithm.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","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":"122664640","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}
Pub Date : 1900-01-01DOI: 10.22457/ijfma.v18n1a04218
S. Adebisi, M. Enioluwafe
In this paper, the classification of finite p -groups is extended to the cartesian product of the quasidihedral group of order n 2 with a cyclic group of order 2
本文将有限p群的分类推广到n 2阶拟二面体群与2阶循环群的笛卡尔积
{"title":"2-Dimensional Subgroups of the Quasidihedral Group of Order 2n with a Cyclic Group of Order 2","authors":"S. Adebisi, M. Enioluwafe","doi":"10.22457/ijfma.v18n1a04218","DOIUrl":"https://doi.org/10.22457/ijfma.v18n1a04218","url":null,"abstract":"In this paper, the classification of finite p -groups is extended to the cartesian product of the quasidihedral group of order n 2 with a cyclic group of order 2","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"7 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":"125571808","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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