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A soft set approach to relations and its application to decision making 关系的软集方法及其在决策中的应用
Mathematical Sciences and Applications E-Notes Pub Date : 2022-11-12 DOI: 10.36753/mathenot.1172408
Kemal Taşköprü, Elif Karaköse
{"title":"A soft set approach to relations and its application to decision making","authors":"Kemal Taşköprü, Elif Karaköse","doi":"10.36753/mathenot.1172408","DOIUrl":"https://doi.org/10.36753/mathenot.1172408","url":null,"abstract":"One of the most useful mathematical tools for examining the relationships among objects is the concept of relations. Besides, it can also be necessary to throw light on uncertainties in these relationships. Soft set theory, in which different approaches used in defining the notions bring about different applications in many areas, enables to overcome uncertainties. The purpose of this paper is to define soft relations in a different way and to give a decision making method using the concept of soft relations. For this purpose, firstly, the soft relations are defined on the collection of soft elements, unlike the previous ones. After their basic properties are provided, the correspondence between the soft relations and the classical relations is investigated and some examples are given. Finally, an algorithm is proposed using the soft relations for solving decision making problems, where the decision is related to other circumstances, and given an illustrative example.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"125 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115488950","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: 1
Computing Eigenvalues of Sturm--Liouville Operators with a Family of Trigonometric Polynomial Potentials 一类三角多项式势的Sturm—Liouville算子特征值的计算
Mathematical Sciences and Applications E-Notes Pub Date : 2022-08-02 DOI: 10.36753/mathenot.1110497
C. Nur
{"title":"Computing Eigenvalues of Sturm--Liouville Operators with a Family of Trigonometric Polynomial Potentials","authors":"C. Nur","doi":"10.36753/mathenot.1110497","DOIUrl":"https://doi.org/10.36753/mathenot.1110497","url":null,"abstract":"We provide estimates for the periodic and antiperiodic eigenvalues of non-self-adjoint Sturm--Liouville operators with a family of complex-valued trigonometric polynomial potentials. We even approximate complex eigenvalues by the roots of some polynomials derived from some iteration formulas. Moreover, we give numerical examples with error analysis.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129890226","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
Approximation for $q$-Chlodowsky Operators via Statistical Convergence with Respect to Power Series Method 基于幂级数法的q -Chlodowsky算子的统计收敛逼近
Mathematical Sciences and Applications E-Notes Pub Date : 2022-06-01 DOI: 10.36753/mathenot.992220
Halime Taşer, T. Yurdakadim
{"title":"Approximation for $q$-Chlodowsky Operators via Statistical Convergence with Respect to Power Series Method","authors":"Halime Taşer, T. Yurdakadim","doi":"10.36753/mathenot.992220","DOIUrl":"https://doi.org/10.36753/mathenot.992220","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125131996","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
Group Invariant Solutions and Local Conservation Laws of Heat Conduction Equation Arising Laser Heating Carbon Nanotubes Using Lie Group Analysis 用李群分析激光加热碳纳米管热传导方程的群不变解和局部守恒律
Mathematical Sciences and Applications E-Notes Pub Date : 2022-06-01 DOI: 10.36753/mathenot.926867
E. Yaşar, Y. Yıldırım
{"title":"Group Invariant Solutions and Local Conservation Laws of Heat Conduction Equation Arising Laser Heating Carbon Nanotubes Using Lie Group Analysis","authors":"E. Yaşar, Y. Yıldırım","doi":"10.36753/mathenot.926867","DOIUrl":"https://doi.org/10.36753/mathenot.926867","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128337970","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: 1
Local Asymptotic Stability and Sensitivity Analysis of a New Mathematical Epidemic Model Without Immunity 一种新的无免疫传染病数学模型的局部渐近稳定性及灵敏度分析
Mathematical Sciences and Applications E-Notes Pub Date : 2022-03-02 DOI: 10.36753/mathenot.935016
Sümeyye Çakan
{"title":"Local Asymptotic Stability and Sensitivity Analysis of a New Mathematical Epidemic Model Without Immunity","authors":"Sümeyye Çakan","doi":"10.36753/mathenot.935016","DOIUrl":"https://doi.org/10.36753/mathenot.935016","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"114 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116562236","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 Some Classes of Series Representations for $1/pi$ and $pi^2$ 关于$1/pi$和$pi^2$的级数表示的几类
Mathematical Sciences and Applications E-Notes Pub Date : 2021-12-31 DOI: 10.36753/mathenot.795582
Hakan Küçük, Sezer Sorgun
{"title":"On Some Classes of Series Representations for $1/pi$ and $pi^2$","authors":"Hakan Küçük, Sezer Sorgun","doi":"10.36753/mathenot.795582","DOIUrl":"https://doi.org/10.36753/mathenot.795582","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128389358","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
Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces 二阶Cesaro-Orlicz序列空间上的乘法算子
Mathematical Sciences and Applications E-Notes Pub Date : 2021-12-31 DOI: 10.36753/mathenot.944392
Serkan Demiriz, E. Kara
{"title":"Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces","authors":"Serkan Demiriz, E. Kara","doi":"10.36753/mathenot.944392","DOIUrl":"https://doi.org/10.36753/mathenot.944392","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125990882","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
The Monoid Rank and Monoid Presentation of Order-Preserving and Order-Decreasing Full Contraction Mappings 保序和降序完全收缩映射的单群秩和单群表示
Mathematical Sciences and Applications E-Notes Pub Date : 2021-12-31 DOI: 10.36753/mathenot.807993
K. Toker
{"title":"The Monoid Rank and Monoid Presentation of Order-Preserving and Order-Decreasing Full Contraction Mappings","authors":"K. Toker","doi":"10.36753/mathenot.807993","DOIUrl":"https://doi.org/10.36753/mathenot.807993","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121859997","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
New exact soliton solutions, bifurcation and multistability behaviors of traveling waves for the (3+1)-dimensional modified Zakharov-Kuznetsov equation with higher order dispersion 具有高阶色散的(3+1)维修正Zakharov-Kuznetsov方程的新的精确孤子解、分岔和行波的多稳定性行为
Mathematical Sciences and Applications E-Notes Pub Date : 2021-10-27 DOI: 10.22541/au.163533971.16788809/v1
A. Saha, S. B. G. Karakoç, K. Ali
{"title":"New exact soliton solutions, bifurcation and multistability behaviors of traveling waves for the (3+1)-dimensional modified Zakharov-Kuznetsov equation with higher order dispersion","authors":"A. Saha, S. B. G. Karakoç, K. Ali","doi":"10.22541/au.163533971.16788809/v1","DOIUrl":"https://doi.org/10.22541/au.163533971.16788809/v1","url":null,"abstract":"The goal of the present paper is to obtain and analyze new exact\u0000travelling wave solutions and bifurcation behavior of modified\u0000Zakharov-Kuznetsov (mZK) equation with higher order dispersion term. For\u0000this purpose, first and second simple methods are used to build soliton\u0000solutions of travelling wave solutions. Furthermore, bifurcation\u0000behavior of traveling waves including new type of quasiperiodic and\u0000multi-periodic traveling wave motions have been examined depending on\u0000the physical parameters. Multistability for the nonlinear mZK equation\u0000has been investigated depending on fixed values of physical parameters\u0000with various initial conditions. The suggested methods for the\u0000analytical solutions are powerful and benefical tools to obtain the\u0000exact travelling wave solutions of nonlinear evolution equations\u0000(NLEEs). Two and three-dimensional plots are also provided to illustrate\u0000the new solutions. Bifurcation and multistability behaviors of traveling\u0000wave solution of the nonlinear mZK equation with higher order dispersion\u0000will add some value in the literature of mathematical and plasma\u0000physics.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125697619","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
Structure Preserving Algorithm for the Logarithm of Symplectic Matrices 辛矩阵对数的保结构算法
Mathematical Sciences and Applications E-Notes Pub Date : 2021-10-01 DOI: 10.36753/mathenot.868902
Bahar Arslan
{"title":"Structure Preserving Algorithm for the Logarithm of Symplectic Matrices","authors":"Bahar Arslan","doi":"10.36753/mathenot.868902","DOIUrl":"https://doi.org/10.36753/mathenot.868902","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122389579","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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