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Annals of Pure and Applied Mathematics最新文献

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Expressing Price of Perishable Goods Using Trapezoidal Fuzzy Numbers: A Case Study of Price of Fish in Guwahati 用梯形模糊数表示易腐商品价格——以古瓦哈提鱼价为例
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v24n2a04853
Mohibul Islam Bora, Hemanta K. Baruah
{"title":"Expressing Price of Perishable Goods Using Trapezoidal Fuzzy Numbers: A Case Study of Price of Fish in Guwahati","authors":"Mohibul Islam Bora, Hemanta K. Baruah","doi":"10.22457/apam.v24n2a04853","DOIUrl":"https://doi.org/10.22457/apam.v24n2a04853","url":null,"abstract":"In the classical theory of fuzzy sets, it has not been discussed how exactly to construct a fuzzy number in any particular case. In this article, we shall discuss how a trapezoidal fuzzy number appears in describing data represented in terms of intervals. In doing so we shall use the operation of superimposition of sets. Prices of perishable goods such as fish can be used to construct such fuzzy numbers. As a case study, we have collected data on the minimum and maximum daily prices of a particular variety of fish in a market of Guwahati, and we have shown that the data can be described by a trapezoidal fuzzy number.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"20 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":"134508216","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 the Exponential Diophantine Equation 2x+15y=z2 关于指数丢番图方程2x+15y=z2
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v26n1a01871
S. Thongnak, W. Chuayjan, T. Kaewong
{"title":"On the Exponential Diophantine Equation 2x+15y=z2","authors":"S. Thongnak, W. Chuayjan, T. Kaewong","doi":"10.22457/apam.v26n1a01871","DOIUrl":"https://doi.org/10.22457/apam.v26n1a01871","url":null,"abstract":"In this article, we solve the exponential Diophantine equation 2 2 15 x y + = z where x y, and z are non-negative integers. The basic theorems in Number theory are given and applied to find all solutions. The result reveals that there are only three solutions to the equation.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","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":"134027389","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 the Diophantine Equations (n + 2)x - 2.n y = z 2 and (n + 2)x + 2.n y = z 2 丢番图方程(n + 2)x - 2。y = z2 (N + 2)x + 2。N y = z 2
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v27n1a04899
S. Tadee
{"title":"On the Diophantine Equations (n + 2)x - 2.n y = z 2 and (n + 2)x + 2.n y = z 2","authors":"S. Tadee","doi":"10.22457/apam.v27n1a04899","DOIUrl":"https://doi.org/10.22457/apam.v27n1a04899","url":null,"abstract":"In this article, we solve the Diophantine equations (n + 2)x - 2.n y = z 2 and (n + 2)x + 2.n y = z 2 , where x, y, z are non-negative integers and n is a positive integer with n ≡ 2 or n ≡ 3 (mod 4).","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","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":"129153235","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
A Study on Degrees of all Neighbors of a Vertex in Fuzzy Graphs 模糊图中一个顶点的邻域度的研究
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v26n2a03890
Alimohammad Fallah Andevari
{"title":"A Study on Degrees of all Neighbors of a Vertex in Fuzzy Graphs","authors":"Alimohammad Fallah Andevari","doi":"10.22457/apam.v26n2a03890","DOIUrl":"https://doi.org/10.22457/apam.v26n2a03890","url":null,"abstract":". Graphs are one of the main tools for the mathematical modelling of various human problems. Fuzzy graphs clearly showed their ability to solve uncertain and ambiguous problems. Let G (cid:2) (cid:3)V, σ, μ(cid:8) be a fuzzy graph and u ∈ V . We define S (cid:12)(cid:13) (cid:3)u(cid:8) (cid:2) ∑ (cid:15)(cid:16)∈ℰ μ(cid:3)vu(cid:8)deg (cid:12) v . In this paper, we present some properties of S (cid:12)(cid:13) (cid:3)u(cid:8) on fuzzy graphs and establish relations between the Zagreb indices and the sum of the degrees of all neighbors of a vertex.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"25 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":"125398445","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
Dual Mixed Gaussian Quadrature Based Adaptive Scheme for Analytic Functions 基于对偶混合高斯正交的解析函数自适应格式
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v22n2a03704
Sanjit Ku. Mohanty, Debasish Das, Rajani B. Dash
{"title":"Dual Mixed Gaussian Quadrature Based Adaptive Scheme for Analytic Functions","authors":"Sanjit Ku. Mohanty, Debasish Das, Rajani B. Dash","doi":"10.22457/apam.v22n2a03704","DOIUrl":"https://doi.org/10.22457/apam.v22n2a03704","url":null,"abstract":"An efficient adaptive scheme based on a dual mixed quadrature rule of precision eleven for approximate evaluation of line integral of analytic functions has been constructed. At first, the precision of Gauss-Legendre four point transformed rule is enhanced by using Richardson extrapolation. A suitable convex combination of the resulting rule and the Gauss-Legendre five point rule further enhances the precision producing a new mixed quadrature rule . This mixed rule is termed as dual mixed Gaussian quadrature rule as it acquires a very high precision eleven using Gaussian quadrature rule in two steps. An adaptive quadrature scheme is designed .Some test integrals having analytic function integrands have been evaluated using the dual mixed rule and its constituent rules in non- adaptive mode. The same set of test integrals have been evaluated using those rules as base rules in the adaptive scheme. The dual mixed rule based adaptive scheme is found to be most effective.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","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":"126035007","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: 2
Nano Fuzzy b-open Sets in Nano fuzzy Topological Spaces 纳米模糊拓扑空间中的纳米模糊b开集
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v25n1a06864
R. Navalakhe, P. Rajwade
{"title":"Nano Fuzzy b-open Sets in Nano fuzzy Topological Spaces","authors":"R. Navalakhe, P. Rajwade","doi":"10.22457/apam.v25n1a06864","DOIUrl":"https://doi.org/10.22457/apam.v25n1a06864","url":null,"abstract":"The purpose of this paper is to define and study a new class of Nano fuzzy open sets called Nano fuzzy b-open sets in Nano fuzzy topological spaces. We have tried to analyze the basic properties of Nano fuzzy b-open sets. We have also used these Nano fuzzy b-open sets to introduce a new type of Nano fuzzy continuous functions, which are called Nano fuzzy b-open continuous functions and their properties are investigated.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"26 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":"131539819","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
Product Connectivity E-Banhatti Indices of Certain Nanotubes 某些纳米管产品连通性的E-Banhatti指数
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v27n1a02897
V. Kulli
{"title":"Product Connectivity E-Banhatti Indices of Certain Nanotubes","authors":"V. Kulli","doi":"10.22457/apam.v27n1a02897","DOIUrl":"https://doi.org/10.22457/apam.v27n1a02897","url":null,"abstract":"The connectivity indices are applied to measure the chemical characteristics of chemical compounds in Chemical Sciences. Recently, a novel degree concept has been defined in Graph Theory: Banhatti degree of a vertex in a graph. In this paper, the product connectivity E-Banhatti and the reciprocal product connectivity E-Banhatti indices are defined by using Banhatti degree concept. We also compute these newly defined EBanhatti indices of wheel graphs and certain nanotubes","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"41 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":"129468384","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
Some Properties of Extended Gamma and Beta Matrix Functions involving 3-Parameter Mittage-Leffler Matrix Function 涉及3参数Mittage-Leffler矩阵函数的扩展Gamma和Beta矩阵函数的一些性质
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v26n1a05881
Naresh Dudi
{"title":"Some Properties of Extended Gamma and Beta Matrix Functions involving 3-Parameter Mittage-Leffler Matrix Function","authors":"Naresh Dudi","doi":"10.22457/apam.v26n1a05881","DOIUrl":"https://doi.org/10.22457/apam.v26n1a05881","url":null,"abstract":"In this article, we involve three- parameter Mittage -Leffler matrix function for the study of the extended Gamma and Beta matrix functions. Mittage-Leffler matrix function requires for computing the context of Fractional Calculus theory. In this context, we also investigate symmetric relations, integral representations, summation relations, generating relations, and functional relations of these extended matrix functions","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"35 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":"133381826","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 the Euler’s Form of an odd Perfect Number 关于奇完全数的欧拉形式
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v22n1a07685
Balchandar Reddy Sangam
{"title":"On the Euler’s Form of an odd Perfect Number","authors":"Balchandar Reddy Sangam","doi":"10.22457/apam.v22n1a07685","DOIUrl":"https://doi.org/10.22457/apam.v22n1a07685","url":null,"abstract":"Euler has proved that an odd perfect number, if exists, must be of the form ... , ≡ ≡ 1 (mod 4). In this article, we show: (i) An alternative proof to the Euler’s form of odd perfect numbers. (ii) An odd number of the form: , ≡ ≡ 1 (mod 4) cannot be perfect.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"164 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":"116403458","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
Revan-Nirmala Index Revan-Nirmala指数
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v26n1a02874
V. Kulli
{"title":"Revan-Nirmala Index","authors":"V. Kulli","doi":"10.22457/apam.v26n1a02874","DOIUrl":"https://doi.org/10.22457/apam.v26n1a02874","url":null,"abstract":"In this paper, we propose the Revan-Nirmala index of a graph. Considering the Revan- Nirmala index, we propose the Revan-Nirmala exponential of a graph. We compute the Revan- Nirmala index and Revan Nirmala exponential of chloroquine, hydroxychloroquine and remdesivir.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"4 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":"117191388","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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