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Fuzzy totally semi alpha-irresolute mappings 模糊完全半-不确定映射
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-24 DOI: 10.5269/bspm.51341
S. Joseph, R. Balakumar, A. Swaminathan
{"title":"Fuzzy totally semi alpha-irresolute mappings","authors":"S. Joseph, R. Balakumar, A. Swaminathan","doi":"10.5269/bspm.51341","DOIUrl":"https://doi.org/10.5269/bspm.51341","url":null,"abstract":"The aim of this article is to introduce two new classes of mappings called fuzzy totally semi -irresolute mapping and fuzzy totally almost irresolute mapping. Moreover, their characterizations , examples and compositions of these mappings, their relationships between other fuzzy mappings are studied.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48249659","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
Reliability estimation of Lomax distribution with fuzziness 具有模糊性的Lomax分布的可靠性估计
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51809
N. Al-Noor
{"title":"Reliability estimation of Lomax distribution with fuzziness","authors":"N. Al-Noor","doi":"10.5269/bspm.51809","DOIUrl":"https://doi.org/10.5269/bspm.51809","url":null,"abstract":"This paper considers the problem of estimating the reliability function for Lomax distribution with the presence of fuzziness through two procedures. The first procedure depends on fuzzy reliability definition that uses the composite trapezoidal rule in order to find the numerical integration and the second is Bayesian procedure which includes different cases depends on sample data and hyper-parameters of prior gamma distribution with squared error as a symmetric loss function and precautionary as an asymmetric loss function. In the Bayesian procedure, we proposed to consider three cases to estimate the fuzzy reliability with fuzzy observations, precise observations with fuzzy hyper-parameter, and fuzzy observations with fuzzy hyper-parameter.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45116482","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
$eta$-Ricci soliton in an indefinite Trans-Sasakian manifold admitting semi-symmetric metric connection 允许半对称度量连接的不定Trans-Sasakian流形中的$eta$-Ricki孤立子
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51358
G. Somashekhara, S. Babu, P. Reddy
{"title":"$eta$-Ricci soliton in an indefinite Trans-Sasakian manifold admitting semi-symmetric metric connection","authors":"G. Somashekhara, S. Babu, P. Reddy","doi":"10.5269/bspm.51358","DOIUrl":"https://doi.org/10.5269/bspm.51358","url":null,"abstract":"In this paper, we intend to study some of the curvature tensor of $eta$-Ricci solitons of indefinite Trans-Sasakian manifold admitting semi-symmetric metric connection.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49373221","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 ruled surface obtained by the natural mate curve 通过自然匹配曲线获得的直纹曲面
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51670
Fatma Güler
{"title":"The ruled surface obtained by the natural mate curve","authors":"Fatma Güler","doi":"10.5269/bspm.51670","DOIUrl":"https://doi.org/10.5269/bspm.51670","url":null,"abstract":"The natural mate curve r1 of r is defined the integral of principal normal vector with any parameter s, of a curve r. We investigate the ruled surface generated by the natural mate curve of any Frenet curve r = r(s) in the Euclidean 3-space. We obtained some necessary and sufficient conditions for this surface to be developable and minimal ruled surface. We research related to be the asymptotic curve and the geodesic curve of the base curve on the ruled surface. Example of our main results are also presented.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41406340","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
Pricing cumulative loss derivatives under additive models via Malliavin calculus 利用Malliavin演算对累加模型下的累积损失衍生品定价
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51549
M. Khalfallah, M. Hadji, J. Vives
{"title":"Pricing cumulative loss derivatives under additive models via Malliavin calculus","authors":"M. Khalfallah, M. Hadji, J. Vives","doi":"10.5269/bspm.51549","DOIUrl":"https://doi.org/10.5269/bspm.51549","url":null,"abstract":"We show that integration by parts formulas based on Malliavin-Skorohod calculus techniques for additive processes help us to compute quantities like ${E}(L_T h(L_T))$ for different suitable functions $h$ and different models for the cumulative loss process $L_T$. These quantities are important in Insurance and Finance. For example they appear in computing expected shortfall risk measures or stop-loss contracts. The formulas given in the present paper, obtained by simple proofs, generalize the formulas given in a recent paper by Hillairet, Jiao and Réveillac using Malliavin calculus techniques for the standard Poisson process, a particular case of additive process.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48073650","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 calculations on Kaluza-Klein metric with respect to lifts in tangent bundle 关于切丛中提升的Kaluza-Klein度量的一些计算
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.52990
Haşim Çayır
{"title":"Some calculations on Kaluza-Klein metric with respect to lifts in tangent bundle","authors":"Haşim Çayır","doi":"10.5269/bspm.52990","DOIUrl":"https://doi.org/10.5269/bspm.52990","url":null,"abstract":"In the present paper, a Riemannian metric on the tangent bundle, which is another generalization of Cheeger-Gromoll metric and Sasaki metric, is considered. This metric is known as Kaluza-Klein metric in literature which is completely determined by its action on vector fields of type X^{H} and Y^{V}. We obtain the covarient and Lie derivatives applied to the Kaluza-Klein metric with respect to the horizontal and vertical lifts of vector fields, respectively on tangent bundle TM.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44404525","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
Stability and local attractivity for non-autonomous boundary Cauchy problems 非自治边界柯西问题的稳定性和局部吸引性
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.52035
A. Jerroudi, M. Moussi
{"title":"Stability and local attractivity for non-autonomous boundary Cauchy problems","authors":"A. Jerroudi, M. Moussi","doi":"10.5269/bspm.52035","DOIUrl":"https://doi.org/10.5269/bspm.52035","url":null,"abstract":"In this paper we present results concerning the existence, stability and local attractivity for non-autonomous semilinear boundary Cauchy problems. In our method, we assume certain smoothness properties on the linear part and the local lipshitz continuity on the nonlinear perturbation. We apply our abstract results to population equations.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44456537","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
Behavior of the isothermal Elasticity operator with non-linear friction in a thin domain 薄域非线性摩擦等温弹性算子的行为
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.51676
Yasmina Kadri, H. Benseridi, M. Dilmi, Aissa Benseghir
{"title":"Behavior of the isothermal Elasticity operator with non-linear friction in a thin domain","authors":"Yasmina Kadri, H. Benseridi, M. Dilmi, Aissa Benseghir","doi":"10.5269/bspm.51676","DOIUrl":"https://doi.org/10.5269/bspm.51676","url":null,"abstract":"This paper deals with the asymptotic behavior of a boundary value problem in a three dimensional thin domain Ω ε with non-linear friction of Coulomb type. We will establish a variational formulation for the problem and prove the existence and uniqueness of the weak solution. We then study the asymptotic behavior when one dimension of the domain tends to zero. In which case, the uniqueness result of the displacement for the limit problem is also proved.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42031975","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 modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations 求解模糊分数积分微分方程的一种改进的再生核Hilbert空间方法
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.52289
S. Hasan, B. Maayah, Samia Bushnaq, S. Momani
{"title":"A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations","authors":"S. Hasan, B. Maayah, Samia Bushnaq, S. Momani","doi":"10.5269/bspm.52289","DOIUrl":"https://doi.org/10.5269/bspm.52289","url":null,"abstract":"The aim of this paper is to extend the application of the reproducing kernel Hilbert space method (RKHSM) to solve linear and non-linear fuzzy integro-differential equations of fractional order under Caputo's H-differentiability. The analytic and approximate solutions are given in series form in term of their parametric form in the space $W_2^2 [a,b] bigoplus W_2^2 [a,b]$. Several examples are carried out to show the effectiveness and the absence of complexity of the proposed method","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46686133","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
On exponential stabilization of a nonlinear neutral wave equation 一类非线性中立型波动方程的指数镇定
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI: 10.5269/bspm.52132
A. Kelleche, A. Berkani
{"title":"On exponential stabilization of a nonlinear neutral wave equation","authors":"A. Kelleche, A. Berkani","doi":"10.5269/bspm.52132","DOIUrl":"https://doi.org/10.5269/bspm.52132","url":null,"abstract":"This work aims to study a nonlinear wave equation subject to a delay of neutral type. The nonlinearity and the delay appear in the second time derivative. In spite of the fact that delays by nature, have an instability effect on the structures, the strong damping is sufficient to allow the system to reach its equilibrium state with an exponential manner. The difficulties arising from the nonlinearity have been overcome by using an inequality due to a Sobolev embedding theorem. The main result has been established without any condition on the coefficient of the neutral delay.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46743877","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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