In this paper, we introduce the class of quadratically optimal (bi-matrix) games, which are bi-matrix games whose set of equilibrium points contain all pairs of probability vectors which maximize the expected pay-off of some pay-off matrix. We call the equilibrium points obtained in this way, quadratically optimal equilibrium points. We prove the existence of quadratically optimal equilibrium points of identical bi-matrix games, i.e. bi-matrix games for which the two pay-off matrices are equal, from which it easily follows that weakly potential bi-matrix games (a generalization of potential bimatrix games) are quadratically optimal. We also show that those weakly potential square bi-matrix games which have potential matrices that are two-way matrices are quadratically and symmetrically solvable games (i.e. there exists a square pay-off matrix whose expected pay-off maximizing probability vectors subject to the requirement that the two probability vectors (row probability vector and column probability vector) being equal) are equilibrium points of the bi-matrix game. We show by means of an example of a 2×2 identical symmetric potential bi-matrix game that for every potential matrix of the game, the set of pairs of probability distributions that maximizes the expected pay-off of the potential matrix is a strict subset of the set of equilibrium points of the potential game.
{"title":"Quadratically Optimal Bi-Matrix Games","authors":"S. Lahiri","doi":"10.22457/jmi.v21a04199","DOIUrl":"https://doi.org/10.22457/jmi.v21a04199","url":null,"abstract":"In this paper, we introduce the class of quadratically optimal (bi-matrix) games, which are bi-matrix games whose set of equilibrium points contain all pairs of probability vectors which maximize the expected pay-off of some pay-off matrix. We call the equilibrium points obtained in this way, quadratically optimal equilibrium points. We prove the existence of quadratically optimal equilibrium points of identical bi-matrix games, i.e. bi-matrix games for which the two pay-off matrices are equal, from which it easily follows that weakly potential bi-matrix games (a generalization of potential bimatrix games) are quadratically optimal. We also show that those weakly potential square bi-matrix games which have potential matrices that are two-way matrices are quadratically and symmetrically solvable games (i.e. there exists a square pay-off matrix whose expected pay-off maximizing probability vectors subject to the requirement that the two probability vectors (row probability vector and column probability vector) being equal) are equilibrium points of the bi-matrix game. We show by means of an example of a 2×2 identical symmetric potential bi-matrix game that for every potential matrix of the game, the set of pairs of probability distributions that maximizes the expected pay-off of the potential matrix is a strict subset of the set of equilibrium points of the potential game.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"13 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89306647","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}
This study introduces a new generalization of the Mittag-Leffler function, the k-generalized Mittag-Leffler type function , , , ( ), γ δ α β E z k and investigates its interesting and important basic properties, such as useful relationships between Mittag-Leffler functions, recurrence relations, differential formulas, integral representations, and images of this function under the Euler (Beta), Laplace, and Whittaker transforms. Some interesting special cases of the main finding are also addressed and demonstrated to be related to some well-known ones.
本文介绍了Mittag-Leffler函数的一种新推广，即k-广义Mittag-Leffler型函数，，，()，γ δ α β E z k，并研究了其有趣而重要的基本性质，如Mittag-Leffler函数之间的有用关系，递归关系，微分公式，积分表示以及该函数在欧拉(β)，拉普拉斯和惠特克变换下的像。本文还讨论了主要发现的一些有趣的特殊情况，并证明它们与一些众所周知的发现有关。
{"title":"A Study of k-generalized Mittag-Leffler Type Function with Four Parameters","authors":"R. K. Bairwa, Karanvir Singh","doi":"10.22457/jmi.v21a06200","DOIUrl":"https://doi.org/10.22457/jmi.v21a06200","url":null,"abstract":"This study introduces a new generalization of the Mittag-Leffler function, the k-generalized Mittag-Leffler type function , , , ( ), γ δ α β E z k and investigates its interesting and important basic properties, such as useful relationships between Mittag-Leffler functions, recurrence relations, differential formulas, integral representations, and images of this function under the Euler (Beta), Laplace, and Whittaker transforms. Some interesting special cases of the main finding are also addressed and demonstrated to be related to some well-known ones.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"41 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72556780","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}
Aiming at the problems of loss of detail information and noise interference that are easy to produce in the image fusion process, a robust principal component analysis (RPCA) based on Convolutional Sparse Coding (CSR) and For image fusion of NonSubsampled Shear Wave Transform (NSST), the source image is pre-enhanced first; then the image is decomposed by RPCA to obtain low-rank images and sparse images; then NSST fusion is used respectively For low-rank images, CSR coding is used to fuse sparse images, and finally two separately fused images are synthesized to obtain the final fused image. Experimental results show that the algorithm in this paper can effectively improve the contrast and clarity of the fused image, reduce noise interference, rich scene information, clear targets, and overall objective evaluation indicators are better than existing algorithms, and the operating efficiency has also been improved
{"title":"Image Fusion Based on NSST and CSR Under Robust Principal Component Analysis","authors":"Li Quanjun, Zhang Guicang, Han Genliang","doi":"10.22457/jmi.v21a05198","DOIUrl":"https://doi.org/10.22457/jmi.v21a05198","url":null,"abstract":"Aiming at the problems of loss of detail information and noise interference that are easy to produce in the image fusion process, a robust principal component analysis (RPCA) based on Convolutional Sparse Coding (CSR) and For image fusion of NonSubsampled Shear Wave Transform (NSST), the source image is pre-enhanced first; then the image is decomposed by RPCA to obtain low-rank images and sparse images; then NSST fusion is used respectively For low-rank images, CSR coding is used to fuse sparse images, and finally two separately fused images are synthesized to obtain the final fused image. Experimental results show that the algorithm in this paper can effectively improve the contrast and clarity of the fused image, reduce noise interference, rich scene information, clear targets, and overall objective evaluation indicators are better than existing algorithms, and the operating efficiency has also been improved","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"95 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78758911","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}
A titania nanotube is studied in material science. In this study, we introduce the multiplicative square minus F-index, multiplicative modified minus F-index, multiplicative minus connectivity F-index, multiplicative reciprocal minus connectivit y Findex and general multiplicative minus F-index of a graph. We compute these multiplicative F-indices for titania nanotubes.
{"title":"Computation of Multiplicative Minus F-indices of Titania Nanotubes","authors":"V. Kulli","doi":"10.22457/jmi.v19a12185","DOIUrl":"https://doi.org/10.22457/jmi.v19a12185","url":null,"abstract":"A titania nanotube is studied in material science. In this study, we introduce the multiplicative square minus F-index, multiplicative modified minus F-index, multiplicative minus connectivity F-index, multiplicative reciprocal minus connectivit y Findex and general multiplicative minus F-index of a graph. We compute these multiplicative F-indices for titania nanotubes.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"49 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81360097","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}
Abstract A solution method for various systems of integral equations of the first kind is presented in this paper. The method starts off by transforming the systems via the application of the Leibnitz’s derivation technique and then employs three different decomposition methods based on the Standard Adomian decomposition method (SADM) for solutions. To demonstrate the efficiency of the proposed method, some illustrative examples are considered and the obtained results indicate that the approach is indeed of practical interest.
{"title":"Resolution of system of Volterra integral equations of the first kind by derivation technique and modified decomposition methods","authors":"M. A. Alzhrani, H. Bakodah, M. Al-Mazmumy","doi":"10.2478/jamsi-2020-0007","DOIUrl":"https://doi.org/10.2478/jamsi-2020-0007","url":null,"abstract":"Abstract A solution method for various systems of integral equations of the first kind is presented in this paper. The method starts off by transforming the systems via the application of the Leibnitz’s derivation technique and then employs three different decomposition methods based on the Standard Adomian decomposition method (SADM) for solutions. To demonstrate the efficiency of the proposed method, some illustrative examples are considered and the obtained results indicate that the approach is indeed of practical interest.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"16 1","pages":"23 - 38"},"PeriodicalIF":0.3,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43325602","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}
Abstract In this paper, we introduce a new generalization of Aradhana distribution called as Weighted Aradhana Distribution (WID). The statistical properties of this distribution are derived and the model parameters are estimated by maximum likelihood estimation. Simulation study of ML estimates of the parameters is carried out in R software. Finally, an application to real data set is presented to examine the significance of newly introduced model.
{"title":"A new generalization of Aradhana distribution: Properties and applications","authors":"A. Hassan, S. Dar, P. B. Ahmad, B. Para","doi":"10.2478/jamsi-2020-0009","DOIUrl":"https://doi.org/10.2478/jamsi-2020-0009","url":null,"abstract":"Abstract In this paper, we introduce a new generalization of Aradhana distribution called as Weighted Aradhana Distribution (WID). The statistical properties of this distribution are derived and the model parameters are estimated by maximum likelihood estimation. Simulation study of ML estimates of the parameters is carried out in R software. Finally, an application to real data set is presented to examine the significance of newly introduced model.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"16 1","pages":"51 - 66"},"PeriodicalIF":0.3,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47745590","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}
Abstract The present paper introduces an advanced five parameter lifetime model which is obtained by compounding exponentiated quasi power Lindley distribution with power series family of distributions. The EQPLPS family of distributions contains several lifetime sub-classes such as quasi power Lindley power series, power Lindley power series, quasi Lindley power series and Lindley power series. The proposed distribution exhibits decreasing, increasing and bathtub shaped hazard rate functions depending on its parameters. It is more flexible as it can generate new lifetime distributions as well as some existing distributions. Various statistical properties including closed form expressions for density function, cumulative function, limiting behaviour, moment generating function and moments of order statistics are brought forefront. The capability of the quantile measures in terms of Lambert W function is also discussed. Ultimately, the potentiality and the flexibility of the new class of distributions has been demonstrated by taking three real life data sets by comparing its sub-models.
{"title":"Correction* Exponentiated quasi power Lindley power series distribution with applications in medical science","authors":"A. Hassan, A. Rashid, N. Akhtar","doi":"10.2478/jamsi-2020-0011","DOIUrl":"https://doi.org/10.2478/jamsi-2020-0011","url":null,"abstract":"Abstract The present paper introduces an advanced five parameter lifetime model which is obtained by compounding exponentiated quasi power Lindley distribution with power series family of distributions. The EQPLPS family of distributions contains several lifetime sub-classes such as quasi power Lindley power series, power Lindley power series, quasi Lindley power series and Lindley power series. The proposed distribution exhibits decreasing, increasing and bathtub shaped hazard rate functions depending on its parameters. It is more flexible as it can generate new lifetime distributions as well as some existing distributions. Various statistical properties including closed form expressions for density function, cumulative function, limiting behaviour, moment generating function and moments of order statistics are brought forefront. The capability of the quantile measures in terms of Lambert W function is also discussed. Ultimately, the potentiality and the flexibility of the new class of distributions has been demonstrated by taking three real life data sets by comparing its sub-models.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"16 1","pages":"85 - 108"},"PeriodicalIF":0.3,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46234201","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}
Abstract In this paper, we have established topological soft sets over generalized topological spaces and topological spaces, and studied its structural properties. We have derived a topological soft set in any given topological space, and from this point of view, we have given necessary and sufficient condition for homeomorphic Alexandroff spaces using topological soft set technique. At last, we have derived a topological soft set using closed sets in any topological space and we have given necessary and sufficient condition for arbitrary homeomorphic topological spaces using them.
{"title":"On topological soft sets","authors":"M. Kandemir, B. Tanay","doi":"10.2478/jamsi-2020-0006","DOIUrl":"https://doi.org/10.2478/jamsi-2020-0006","url":null,"abstract":"Abstract In this paper, we have established topological soft sets over generalized topological spaces and topological spaces, and studied its structural properties. We have derived a topological soft set in any given topological space, and from this point of view, we have given necessary and sufficient condition for homeomorphic Alexandroff spaces using topological soft set technique. At last, we have derived a topological soft set using closed sets in any topological space and we have given necessary and sufficient condition for arbitrary homeomorphic topological spaces using them.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"16 1","pages":"5 - 22"},"PeriodicalIF":0.3,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46554710","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}
Abstract This paper introduces a stochastic approach to case numbers of a pandemic disease. By defining the stochastic process random walk process is used. Some stochastic aspects for this disease are argued before stochastic study is started. During random walk process modeling new patients, recovering patients and dead conclusions are modelled and probabilities changes in some stages. Let the structure of this study includes vanishing process as a walk step, some wave happenings like big differences about spread speed as a big step in treatment- an effective vaccine or an influential chemical usage- a second corona virus pumping with virus mutation, a second global happening which bumping virus spread are defined as stages. This study only simulates a stochastic process of corona virus effects.
{"title":"A stochastic approach to number of corona virus cases","authors":"H. Ünözkan, M. Yilmaz, A.M. Dere","doi":"10.2478/jamsi-2020-0010","DOIUrl":"https://doi.org/10.2478/jamsi-2020-0010","url":null,"abstract":"Abstract This paper introduces a stochastic approach to case numbers of a pandemic disease. By defining the stochastic process random walk process is used. Some stochastic aspects for this disease are argued before stochastic study is started. During random walk process modeling new patients, recovering patients and dead conclusions are modelled and probabilities changes in some stages. Let the structure of this study includes vanishing process as a walk step, some wave happenings like big differences about spread speed as a big step in treatment- an effective vaccine or an influential chemical usage- a second corona virus pumping with virus mutation, a second global happening which bumping virus spread are defined as stages. This study only simulates a stochastic process of corona virus effects.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"16 1","pages":"67 - 83"},"PeriodicalIF":0.3,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49348975","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}
Abstract In this paper, we introduce and study a new class σ, (α,λ) of meromorphic univalent functions defined in E = {z : z ∊ ℂ and 0 < |z| < 1} = E {0}. We obtain coefficient inequalities, distortion theorems, extreme points, closure theorems, radius of convexity estimates and integral operators. Finally, we obtained neighbourhood result for the class σp(γ,λ).
{"title":"A new subclass of meromorphic functions with positive coefficients defining by linear operator","authors":"P. Reddy, B. Venkateswarlu, S. Sreelakshmi","doi":"10.2478/jamsi-2020-0008","DOIUrl":"https://doi.org/10.2478/jamsi-2020-0008","url":null,"abstract":"Abstract In this paper, we introduce and study a new class σ, (α,λ) of meromorphic univalent functions defined in E = {z : z ∊ ℂ and 0 < |z| < 1} = E {0}. We obtain coefficient inequalities, distortion theorems, extreme points, closure theorems, radius of convexity estimates and integral operators. Finally, we obtained neighbourhood result for the class σp(γ,λ).","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"16 1","pages":"39 - 49"},"PeriodicalIF":0.3,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41971945","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：