Pub Date : 2022-06-30DOI: 10.37622/gjpam/18.2.2022.465-477
U. Srivastava, H. Kumar
This paper considers a mean shift with an unknown shift point in a process Burr type III sequence and estimates the unknown shift point (change point) by the method of Bayesian Estimation Procedure. Pre-shift and post-shift means are estimated concurrently with the change point. When the underlying process overestimate or underestimate the mean shift in process we use asymmetric Loss function as General entropy Loss Function in order to estimate the mean shift. A Simulation Study is done by using R software.
{"title":"Bayesian Shift Point Estimation of Burr Type III Distribution under General Entropy Loss Function","authors":"U. Srivastava, H. Kumar","doi":"10.37622/gjpam/18.2.2022.465-477","DOIUrl":"https://doi.org/10.37622/gjpam/18.2.2022.465-477","url":null,"abstract":"This paper considers a mean shift with an unknown shift point in a process Burr type III sequence and estimates the unknown shift point (change point) by the method of Bayesian Estimation Procedure. Pre-shift and post-shift means are estimated concurrently with the change point. When the underlying process overestimate or underestimate the mean shift in process we use asymmetric Loss function as General entropy Loss Function in order to estimate the mean shift. A Simulation Study is done by using R software.","PeriodicalId":198465,"journal":{"name":"Global Journal of Pure and Applied Mathematics","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116155800","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 : 2022-06-30DOI: 10.37622/gjpam/18.1.2022.377-391
R. Murugesan
In this paper, we have improved the performance of the existing SOFTMIN method for finding best initial basic feasible solution (IBFS) to transportation problems (TPs) by imposing two changes / conditions on it. The “Improved SOFTMIN” method is simply called as I-SOFT method. The performance of the I-SOFT over SOFTMIN has been tested on a set of 21 identified and acknowledged “challenging” and “more challenging” TPs. Experimental results validate that the performance of I-SOFT is much better than that of by SOFTMIN. Besides, at present-day the I-SOFT method has been identified and long-established as the best method to find the best IBFS to TPs. This is factual because at present-day no method has been proposed and proved as the best method to find the optimal solution directly to any given TP. 2010
{"title":"I-SOFT – The Best Method for Finding the Best IBFS to Transportation Problems","authors":"R. Murugesan","doi":"10.37622/gjpam/18.1.2022.377-391","DOIUrl":"https://doi.org/10.37622/gjpam/18.1.2022.377-391","url":null,"abstract":"In this paper, we have improved the performance of the existing SOFTMIN method for finding best initial basic feasible solution (IBFS) to transportation problems (TPs) by imposing two changes / conditions on it. The “Improved SOFTMIN” method is simply called as I-SOFT method. The performance of the I-SOFT over SOFTMIN has been tested on a set of 21 identified and acknowledged “challenging” and “more challenging” TPs. Experimental results validate that the performance of I-SOFT is much better than that of by SOFTMIN. Besides, at present-day the I-SOFT method has been identified and long-established as the best method to find the best IBFS to TPs. This is factual because at present-day no method has been proposed and proved as the best method to find the optimal solution directly to any given TP. 2010","PeriodicalId":198465,"journal":{"name":"Global Journal of Pure and Applied Mathematics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133692392","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 : 2022-03-30DOI: 10.37622/gjpam/18.1.2022.63-70
H. Singh, D. Mishra, R. N. Das
This research paper provides an important information about the special type of ideal, that is augmentation ideal. We use the concept of augmentation ideal in algebraic structure group ring R [ G ]. Let us suppose that there be a homomorphism f such that, : here homomorphism f is known as augmentation map. But the kernel of f this means ker f is termed as augmentation ideal. Thus it is ovious that it is a special type of ideal. This paper also describes the properties of augmentation ideal as it is a left as well as a right ideal in R [ G ]. This ideal is generated by the difference of group elements G . When we use identity element of group G then it will be generated by ( g – e ), but group G is based on multiplication operation so the given augmentation ideal is generated by ( g – 1 g ). Since, group ring algebraic structure R [ G ] is a ring so it must have ideals. But here we have discussed upon augmentation ideal of R [ G ] which is other then its normal ideals. We have also proved some theorems as well as lemmas are based on the concept of augmentation ideal and generators of the augmentation
{"title":"Generators of the Augmentation Ideal in a Group Ring R[G]","authors":"H. Singh, D. Mishra, R. N. Das","doi":"10.37622/gjpam/18.1.2022.63-70","DOIUrl":"https://doi.org/10.37622/gjpam/18.1.2022.63-70","url":null,"abstract":"This research paper provides an important information about the special type of ideal, that is augmentation ideal. We use the concept of augmentation ideal in algebraic structure group ring R [ G ]. Let us suppose that there be a homomorphism f such that, : here homomorphism f is known as augmentation map. But the kernel of f this means ker f is termed as augmentation ideal. Thus it is ovious that it is a special type of ideal. This paper also describes the properties of augmentation ideal as it is a left as well as a right ideal in R [ G ]. This ideal is generated by the difference of group elements G . When we use identity element of group G then it will be generated by ( g – e ), but group G is based on multiplication operation so the given augmentation ideal is generated by ( g – 1 g ). Since, group ring algebraic structure R [ G ] is a ring so it must have ideals. But here we have discussed upon augmentation ideal of R [ G ] which is other then its normal ideals. We have also proved some theorems as well as lemmas are based on the concept of augmentation ideal and generators of the augmentation","PeriodicalId":198465,"journal":{"name":"Global Journal of Pure and Applied Mathematics","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126341937","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 : 2022-03-30DOI: 10.37622/gjpam/18.1.2022.392-400
K. Jain, Anuradha Bhattacharjee
{"title":"Mathematical Modeling of Rubella Disease Dynamics with Vertical Transmission","authors":"K. Jain, Anuradha Bhattacharjee","doi":"10.37622/gjpam/18.1.2022.392-400","DOIUrl":"https://doi.org/10.37622/gjpam/18.1.2022.392-400","url":null,"abstract":"","PeriodicalId":198465,"journal":{"name":"Global Journal of Pure and Applied Mathematics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121346460","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 : 2022-02-28DOI: 10.37622/gjpam/18.1.2022.273-282
P. Hemalatha, S. N. Subhathra
{"title":"On Star Coloring of Kronecker Product of Graphs","authors":"P. Hemalatha, S. N. Subhathra","doi":"10.37622/gjpam/18.1.2022.273-282","DOIUrl":"https://doi.org/10.37622/gjpam/18.1.2022.273-282","url":null,"abstract":"","PeriodicalId":198465,"journal":{"name":"Global Journal of Pure and Applied Mathematics","volume":"111 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127575321","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 : 2022-02-28DOI: 10.37622/gjpam/18.1.2022.155-169
H. Deka, J. Sarma
{"title":"A Numerical Study of Modified Burgers’ Equation in Charged Dusty Plasmas","authors":"H. Deka, J. Sarma","doi":"10.37622/gjpam/18.1.2022.155-169","DOIUrl":"https://doi.org/10.37622/gjpam/18.1.2022.155-169","url":null,"abstract":"","PeriodicalId":198465,"journal":{"name":"Global Journal of Pure and Applied Mathematics","volume":"234 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128554932","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 : 2022-02-28DOI: 10.37622/gjpam/18.1.2022.297-305
Neetu Sharma
{"title":"Fixed Point Type Theorems for Pentagonal Cone Metric space","authors":"Neetu Sharma","doi":"10.37622/gjpam/18.1.2022.297-305","DOIUrl":"https://doi.org/10.37622/gjpam/18.1.2022.297-305","url":null,"abstract":"","PeriodicalId":198465,"journal":{"name":"Global Journal of Pure and Applied Mathematics","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123648113","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 : 2021-12-30DOI: 10.37622/gjpam/17.2.2021.319-322
K. Wadhwa, Arvind Gupta
{"title":"Common fixed point theorems for four self-mappings satisfying (CLRST) property via A -class functions in fuzzy metric space","authors":"K. Wadhwa, Arvind Gupta","doi":"10.37622/gjpam/17.2.2021.319-322","DOIUrl":"https://doi.org/10.37622/gjpam/17.2.2021.319-322","url":null,"abstract":"","PeriodicalId":198465,"journal":{"name":"Global Journal of Pure and Applied Mathematics","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122567794","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 : 2021-12-30DOI: 10.37622/gjpam/17.2.2021.303-317
A. Muraliraj, R. Thangathamizh
The concept of Revised fuzzy modular metric space is firstly introduced in this paper. Afterwards, a Hausdorff topology induced by a β-homogeneous Revised fuzzy modular metric is defined and some related topological properties are also examined. And then, several theorems on μ-completeness of the Revised fuzzy modular metric space are given. Finally, the well-known Baire’s theorem and uniform limit theorem are extended to Revised fuzzy modular metric spaces.
{"title":"Introduction on Revised Fuzzy Modular Spaces","authors":"A. Muraliraj, R. Thangathamizh","doi":"10.37622/gjpam/17.2.2021.303-317","DOIUrl":"https://doi.org/10.37622/gjpam/17.2.2021.303-317","url":null,"abstract":"The concept of Revised fuzzy modular metric space is firstly introduced in this paper. Afterwards, a Hausdorff topology induced by a β-homogeneous Revised fuzzy modular metric is defined and some related topological properties are also examined. And then, several theorems on μ-completeness of the Revised fuzzy modular metric space are given. Finally, the well-known Baire’s theorem and uniform limit theorem are extended to Revised fuzzy modular metric spaces.","PeriodicalId":198465,"journal":{"name":"Global Journal of Pure and Applied Mathematics","volume":"170 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117280710","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 : 2021-08-30DOI: 10.37622/gjpam/17.2.2021.209-213
H. Singh, D. Mishra
{"title":"Why do we use only multiplicative group in the formation of group ring R[G]?","authors":"H. Singh, D. Mishra","doi":"10.37622/gjpam/17.2.2021.209-213","DOIUrl":"https://doi.org/10.37622/gjpam/17.2.2021.209-213","url":null,"abstract":"","PeriodicalId":198465,"journal":{"name":"Global Journal of Pure and Applied Mathematics","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132457808","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}