Pub Date : 2022-01-01DOI: 10.22075/IJNAA.2021.23741.2608
Mojgan Esmailzadeh, J. Alavi, H. Najafi
This article deals with the nonlinear parabolic equation with piecewise continuous arguments (EPCA). This study, therefore, with the aid of the $theta$ -methods, aims at presenting a numerical solution scheme for solving such types of equations which has applications in certain ecological studies. Moreover, the convergence and stability of our proposed numerical method are investigated. Finally, to support and confirm our theoretical results, some numerical examples are also presented.
{"title":"A numerical scheme for solving nonlinear parabolic partial differential equations with piecewise constant arguments","authors":"Mojgan Esmailzadeh, J. Alavi, H. Najafi","doi":"10.22075/IJNAA.2021.23741.2608","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.23741.2608","url":null,"abstract":"This article deals with the nonlinear parabolic equation with piecewise continuous arguments (EPCA). This study, therefore, with the aid of the $theta$ -methods, aims at presenting a numerical solution scheme for solving such types of equations which has applications in certain ecological studies. Moreover, the convergence and stability of our proposed numerical method are investigated. Finally, to support and confirm our theoretical results, some numerical examples are also presented.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"783-789"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68120385","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 : 2022-01-01DOI: 10.22075/IJNAA.2021.25194.2943
Sharareh Mohajeri, F. Harsej, Mahboubeh Sadeghpour, Jahanfar khaleghi nia
In recent years, integrated reverse supply chain practices have been adopted by companies that desire to reduce the negative environmental and social impacts within their supply chains. models and solutions assisted by industry 4.0 technologies have been developed to transform products in the end of their life cycle into new products with different use. There are several methods with different technologies to recycle the wastes, which have been selected and weighted based on the indicators of the industry 4.0 revolution and the wastes sent to recycling centers based on the technology weight. The understudy model is multi-objective, including minimizing transportation costs and environmental effects and maximizing customer response demand. The whale optimization algorithm and the NSGA-II algorithm were also used to solve this model. The results obtained from whale optimization and genetic algorithms have been comprised of each other through comparative indicators of quality, dispersion, uniformity, and solving time. The results showed that the whale algorithm has a higher ability to explore and extract possible points and achieve optimal solutions in all cases. The NSGA-II algorithm was also superior to the whale algorithm in terms of uniformity and solving time. The investigation of changes in solving time with increasing problem size was another confirmation of the NP-hard nature of the understudied problem.
{"title":"Industry 4.0 technologies assessment: An integrated reverse supply chain model with the whale optimization algorithm","authors":"Sharareh Mohajeri, F. Harsej, Mahboubeh Sadeghpour, Jahanfar khaleghi nia","doi":"10.22075/IJNAA.2021.25194.2943","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.25194.2943","url":null,"abstract":"In recent years, integrated reverse supply chain practices have been adopted by companies that desire to reduce the negative environmental and social impacts within their supply chains. models and solutions assisted by industry 4.0 technologies have been developed to transform products in the end of their life cycle into new products with different use. There are several methods with different technologies to recycle the wastes, which have been selected and weighted based on the indicators of the industry 4.0 revolution and the wastes sent to recycling centers based on the technology weight. The understudy model is multi-objective, including minimizing transportation costs and environmental effects and maximizing customer response demand. The whale optimization algorithm and the NSGA-II algorithm were also used to solve this model. The results obtained from whale optimization and genetic algorithms have been comprised of each other through comparative indicators of quality, dispersion, uniformity, and solving time. The results showed that the whale algorithm has a higher ability to explore and extract possible points and achieve optimal solutions in all cases. The NSGA-II algorithm was also superior to the whale algorithm in terms of uniformity and solving time. The investigation of changes in solving time with increasing problem size was another confirmation of the NP-hard nature of the understudied problem.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1803-1825"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68120410","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 : 2022-01-01DOI: 10.22075/IJNAA.2021.24082.2666
A. Shah, Mohd Rafiq Parray, Dilawar Juneed Mir
J.Koneiczny in [8] introduced the new notion $sim_{n}$ notion of conjugacy in semigroups. In this paper, we count the number of conjugacy classes in Partial Transformation semigroup $mathcal{P}(A)$ for an infinite set $A$ with respect to $sim_{n}$ notion of conjugacy.
{"title":"Counting of Conjugacy classes in partial transformation semigroup.","authors":"A. Shah, Mohd Rafiq Parray, Dilawar Juneed Mir","doi":"10.22075/IJNAA.2021.24082.2666","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.24082.2666","url":null,"abstract":"J.Koneiczny in [8] introduced the new notion $sim_{n}$ notion of conjugacy in semigroups. In this paper, we count the number of conjugacy classes in Partial Transformation semigroup $mathcal{P}(A)$ for an infinite set $A$ with respect to $sim_{n}$ notion of conjugacy.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1909-1915"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68120630","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 : 2022-01-01DOI: 10.22075/IJNAA.2022.5653
Zeina Mueen
This paper delves into some significant performance measures (PMs) of a bulk arrival queueing system with constant batch size b, according to arrival rates and service rates being fuzzy parameters. The bulk arrival queuing system deals with observation arrival into the queuing system as a constant group size before allowing individual customers entering to the service. This leads to obtaining a new tool with the aid of generating function methods. The corresponding traditional bulk queueing system model is more convenient under an uncertain environment. The $alpha$-cut approach is applied with the conventional Zadeh's extension principle (ZEP) to transform the triangular membership functions (Mem. Fs) fuzzy queues into a family of conventional bulkqueues. This new model focus on mixed-integer non-linear programming (MINLP) tenders a mathematical computational approach is known as (0 -1) variables. To measures the efficiency of the method, the efficient solution strategy plays a crucial role in the adequate application of these techniques. Furthermore, different stages of the $alpha$-cut intervals were analyzed and the final part of the article gives a numerical solution of the proposed model to achieve practical issues.
{"title":"Developing bulk arrival queuing models with the constant batch policy under uncertainty data using (0 - 1) variables","authors":"Zeina Mueen","doi":"10.22075/IJNAA.2022.5653","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5653","url":null,"abstract":"This paper delves into some significant performance measures (PMs) of a bulk arrival queueing system with constant batch size b, according to arrival rates and service rates being fuzzy parameters. The bulk arrival queuing system deals with observation arrival into the queuing system as a constant group size before allowing individual customers entering to the service. This leads to obtaining a new tool with the aid of generating function methods. The corresponding traditional bulk queueing system model is more convenient under an uncertain environment. The $alpha$-cut approach is applied with the conventional Zadeh's extension principle (ZEP) to transform the triangular membership functions (Mem. Fs) fuzzy queues into a family of conventional bulkqueues. This new model focus on mixed-integer non-linear programming (MINLP) tenders a mathematical computational approach is known as (0 -1) variables. To measures the efficiency of the method, the efficient solution strategy plays a crucial role in the adequate application of these techniques. Furthermore, different stages of the $alpha$-cut intervals were analyzed and the final part of the article gives a numerical solution of the proposed model to achieve practical issues.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1113-1121"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68126513","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 : 2022-01-01DOI: 10.22075/IJNAA.2022.5659
Saad Mahdi Jaber, Marwah Yasir Mohsin
In this paper, we introduce the concept of proximally closed (or $delta-$ closed) in the proximity spaces and study some of its properties.
本文在邻近空间中引入了近闭(或$delta-$闭)的概念，并研究了它的一些性质。
{"title":"On proximally closed mapping","authors":"Saad Mahdi Jaber, Marwah Yasir Mohsin","doi":"10.22075/IJNAA.2022.5659","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5659","url":null,"abstract":"In this paper, we introduce the concept of proximally closed (or $delta-$ closed) in the proximity spaces and study some of its properties.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1161-1166"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68126585","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 : 2022-01-01DOI: 10.22075/IJNAA.2022.5677
M. Ostad, M. Dastgir, Shukrollah Khajavi
Financial theorists believe that low accruals firms have higher returns compared to those with high accruals calling this relationship an accruals anomaly. Since the introduction of this concept, various studies have examined the factors causing accruals anomalies and their impact on corporate revenues. The current paper aims at investigating the impact of accruals anomalies on corporate profitability as well as the role of the corporate life cycle. Thus, the data was collected using 109 companies listed on the Tehran Stock Exchange data during the period 2012 to 2018. Then, the relationships were examined using regression modelling with a panel approach. The results indicate that there is no significant impact of life cycle on the relationship between accrual anomalies and profitability.
{"title":"The accrual anomaly analysis at different stages of the corporate life cycle of companies listed on the Tehran stock exchange","authors":"M. Ostad, M. Dastgir, Shukrollah Khajavi","doi":"10.22075/IJNAA.2022.5677","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5677","url":null,"abstract":"Financial theorists believe that low accruals firms have higher returns compared to those with high accruals calling this relationship an accruals anomaly. Since the introduction of this concept, various studies have examined the factors causing accruals anomalies and their impact on corporate revenues. The current paper aims at investigating the impact of accruals anomalies on corporate profitability as well as the role of the corporate life cycle. Thus, the data was collected using 109 companies listed on the Tehran Stock Exchange data during the period 2012 to 2018. Then, the relationships were examined using regression modelling with a panel approach. The results indicate that there is no significant impact of life cycle on the relationship between accrual anomalies and profitability.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1269-1278"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68126820","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 : 2022-01-01DOI: 10.22075/IJNAA.2022.5710
S. RasheedMansoorAli, S. Perumal
In our modern world, education is essential for developing high moral values and excellence in individuals. But the spread of Covid-19 widely affects the student’s education, the majority of students have continued their education via online learning platforms. The academic performance of students has been sluggish across the globe during this pandemic. This problem is solved using a multiclass Linear Discriminant Analysis (LDA) and Convolutional Neural Network (CNN) model which predicts the student learning rate and behavior. This research aims to classify the students’ performance into low, medium, and high grades in order to assist tutors in predicting the low-ranking students. The student data log is collected from the Kaggle student performance analysis dataset and pre-processed to remove the noise and non-redundance data. By analyzing the pre-processed data, the CNN extracts feature that are based on student interest and subjective pattern sequences. Then extracted features are filtered by the Minimum Redundancy Maximum Relevance(mRMR) method. mRMR selects the best features and dilutes the least one which handles each feature separately. The feature weights are measured by Stochastic Gradient Descent (SGD) and updated for better feature learning by CNN. At the last stage, the Multi-class LDA classifier evaluates the result into categorized classes. Based on the prediction, the tutors can easily find the low ranks of students who need a high preference for improving their academic performance. Experiments showed that the proposed model achieves greater accuracy (96.5%), precision (094), recall (092), F-score (095), and requires less computation time than existing methods.
{"title":"Multi-class LDA classifier and CNN feature extraction for student performance analysis during Covid-19 pandemic","authors":"S. RasheedMansoorAli, S. Perumal","doi":"10.22075/IJNAA.2022.5710","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5710","url":null,"abstract":"In our modern world, education is essential for developing high moral values and excellence in individuals. But the spread of Covid-19 widely affects the student’s education, the majority of students have continued their education via online learning platforms. The academic performance of students has been sluggish across the globe during this pandemic. This problem is solved using a multiclass Linear Discriminant Analysis (LDA) and Convolutional Neural Network (CNN) model which predicts the student learning rate and behavior. This research aims to classify the students’ performance into low, medium, and high grades in order to assist tutors in predicting the low-ranking students. The student data log is collected from the Kaggle student performance analysis dataset and pre-processed to remove the noise and non-redundance data. By analyzing the pre-processed data, the CNN extracts feature that are based on student interest and subjective pattern sequences. Then extracted features are filtered by the Minimum Redundancy Maximum Relevance(mRMR) method. mRMR selects the best features and dilutes the least one which handles each feature separately. The feature weights are measured by Stochastic Gradient Descent (SGD) and updated for better feature learning by CNN. At the last stage, the Multi-class LDA classifier evaluates the result into categorized classes. Based on the prediction, the tutors can easily find the low ranks of students who need a high preference for improving their academic performance. Experiments showed that the proposed model achieves greater accuracy (96.5%), precision (094), recall (092), F-score (095), and requires less computation time than existing methods.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1329-1339"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68126838","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 : 2022-01-01DOI: 10.22075/IJNAA.2020.16034.1843
R. Rashwan
In this paper, we introduce xed point theorem for a general contractive condition in complex valued metric spaces. Also, some important corollaries under this contractive condition are obtained. As an application, we nd a unique solution for Urysohn integral equations and some illustrative examples are given to support our obtaining results. Our results extend and generalize the results of Azam et al. [2] and some other known results in the literature.
本文引入复值度量空间中一般压缩条件的杂点定理。并在此压缩条件下得到了一些重要的推论。作为应用，我们得到了Urysohn积分方程的唯一解，并给出了一些例子来支持我们的所得结果。我们的结果扩展和推广了Azam et al.[2]和文献中其他一些已知的结果。
{"title":"Fixed Point Results in Complex Valued Metric Spaces and an Application","authors":"R. Rashwan","doi":"10.22075/IJNAA.2020.16034.1843","DOIUrl":"https://doi.org/10.22075/IJNAA.2020.16034.1843","url":null,"abstract":"In this paper, we introduce xed point theorem for a general contractive condition in complex valued metric spaces. Also, some important corollaries under this contractive condition are obtained. As an application, we nd a unique solution for Urysohn integral equations and some illustrative examples are given to support our obtaining results. Our results extend and generalize the results of Azam et al. [2] and some other known results in the literature.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68115829","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 : 2022-01-01DOI: 10.22075/IJNAA.2020.21599.2279
C. Granados
The purposes of this article are to introduce and characterize the notions of $ (i,j) $-$ omega $-$ alpha $-open sets in bitopological spaces. Besides, It introduces and studies the concepts of $ (i,j) $-$ omega $-$ alpha $-continuous functions. Furthermore, $ (i,j) $-$ omega $-$ alpha $-connected and $ (i,j) $-$ omega $-$ alpha $-set-connected functions are defined in bitopological spaces and some of their properties are studied.
{"title":"$ omega $-$ alpha $-open sets $ omega $-$ alpha $-continuity in bitopological spaces","authors":"C. Granados","doi":"10.22075/IJNAA.2020.21599.2279","DOIUrl":"https://doi.org/10.22075/IJNAA.2020.21599.2279","url":null,"abstract":"The purposes of this article are to introduce and characterize the notions of $ (i,j) $-$ omega $-$ alpha $-open sets in bitopological spaces. Besides, It introduces and studies the concepts of $ (i,j) $-$ omega $-$ alpha $-continuous functions. Furthermore, $ (i,j) $-$ omega $-$ alpha $-connected and $ (i,j) $-$ omega $-$ alpha $-set-connected functions are defined in bitopological spaces and some of their properties are studied.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1279-1289"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68116212","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 : 2022-01-01DOI: 10.22075/IJNAA.2019.16038.1844
Fatma Ertuğral, M. Sarıkaya
In this paper, we have established some trapezoid type inequalities for generalized fractional integral. The results presented here would provide some fractional inequalities and Riemann-Liouville type fractional operators.
{"title":"Some trapezoid type inequalities for generalized fractional integral","authors":"Fatma Ertuğral, M. Sarıkaya","doi":"10.22075/IJNAA.2019.16038.1844","DOIUrl":"https://doi.org/10.22075/IJNAA.2019.16038.1844","url":null,"abstract":"In this paper, we have established some trapezoid type inequalities for generalized fractional integral. The results presented here would provide some fractional inequalities and Riemann-Liouville type fractional operators.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"289-295"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68116235","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}
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