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 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}
In this paper we compute the number of distinct fuzzy subgroups of elementary abelian groups of the form Z Z p p × and quaternion groups of the form Q4 p with respect to an equivalence relation ≈ existing in literature. The group algorithm programming (GAP) was applied in our computation.
本文就文献中存在的等价关系≈，计算了形式为Z Z p p x的初等阿贝尔群和形式为Q4 p的四元数群的不同模糊子群的个数。我们的计算采用了群算法规划(GAP)。
{"title":"On the Number of Distinct Fuzzy Subgroups for Some Elementary Abelian Groups and Quaternion Groups","authors":"Olayiwola Abdulhakeem, Suleiman Bashir Adamu","doi":"10.22457/ijfma.v13n1a3","DOIUrl":"https://doi.org/10.22457/ijfma.v13n1a3","url":null,"abstract":"In this paper we compute the number of distinct fuzzy subgroups of elementary abelian groups of the form Z Z p p × and quaternion groups of the form Q4 p with respect to an equivalence relation ≈ existing in literature. The group algorithm programming (GAP) was applied in our computation.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"29 3-4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132031283","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 concept of semi weakly compatibility of maps on a ∈-chainable intuitionistic fuzzy metric space introduced by Manro et al. and established some results regarding common fixed point for such mappings in this newly defined space. Our results generalize the result of Kumar et al. Manro et al. and others.
{"title":"Common Fixed Point of Semi-Weakly Compatible Maps on ∈-Chainable Intutionistic Fuzzy Metric Space","authors":"R.K. Sharma, Sonal Bhart","doi":"10.22457/ijfma.v11n2a4","DOIUrl":"https://doi.org/10.22457/ijfma.v11n2a4","url":null,"abstract":"In this paper, we introduce the concept of semi weakly compatibility of maps on a ∈-chainable intuitionistic fuzzy metric space introduced by Manro et al. and established some results regarding common fixed point for such mappings in this newly defined space. Our results generalize the result of Kumar et al. Manro et al. and others.","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":"134108526","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.v19n2a05234
Md. Saiful Islam, Md. Sahadat Hossain, Md. Aman Mahbub
The purpose of this paper is to give some new notions of intuitionistic fuzzy regular spaces and investigate the relationship among them. Also the relations between our notions and other given notion of intuitionistic fuzzy regular spaces have been investigated. Moreover it is shown that all these notions satisfy hereditary property of regular spaces. Finally it is shown that under some conditions image and preimage preserve intuitionistic fuzzy regular spaces.
{"title":"On Intuitionistic Fuzzy r-Regular Spaces","authors":"Md. Saiful Islam, Md. Sahadat Hossain, Md. Aman Mahbub","doi":"10.22457/ijfma.v19n2a05234","DOIUrl":"https://doi.org/10.22457/ijfma.v19n2a05234","url":null,"abstract":"The purpose of this paper is to give some new notions of intuitionistic fuzzy regular spaces and investigate the relationship among them. Also the relations between our notions and other given notion of intuitionistic fuzzy regular spaces have been investigated. Moreover it is shown that all these notions satisfy hereditary property of regular spaces. Finally it is shown that under some conditions image and preimage preserve intuitionistic fuzzy regular spaces.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"241 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":"133612776","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 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}
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.v18n1a02207
Hemanta K. Baruah
The formula available in the literature to find the sum of two discrete fuzzy numbers needs a major change. We have shown in this article with the help of numerical examples as to why the existing formula does not quite look logical. We are going to put forward a different formula to find the sum using the weighted average of the levels of presence of the discrete fuzzy numbers concerned. With numerical examples we have shown that our proposed formula does return expected results.
{"title":"An Alternate Formula for Addition of Discrete Fuzzy Numbers","authors":"Hemanta K. Baruah","doi":"10.22457/ijfma.v18n1a02207","DOIUrl":"https://doi.org/10.22457/ijfma.v18n1a02207","url":null,"abstract":"The formula available in the literature to find the sum of two discrete fuzzy numbers needs a major change. We have shown in this article with the help of numerical examples as to why the existing formula does not quite look logical. We are going to put forward a different formula to find the sum using the weighted average of the levels of presence of the discrete fuzzy numbers concerned. With numerical examples we have shown that our proposed formula does return expected results.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"27 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":"123745305","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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