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.2021.23002.2451
Anupam Das, Vahid Parvaneh, Bhuban Chandra Deuri, Z. Bagheri
We have established the solvability of fractional integral equations with both $(k,s)$-Riemann-Liouville and Erd'{e}lyi-Kober fractional integrals using a new generalized version of the Darbo's theorem using Mizogochi-Takahashi mappings and justify the validity of our results with the help of suitable examples.
{"title":"Application of a generalization of Darbo's fixed point theorem via Mizogochi-Takahashi mappings on mixed fractional integral equations involving $(k, s)$-Riemann-Liouville and Erd'{e}lyi-Kober fractional integrals","authors":"Anupam Das, Vahid Parvaneh, Bhuban Chandra Deuri, Z. Bagheri","doi":"10.22075/IJNAA.2021.23002.2451","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.23002.2451","url":null,"abstract":"We have established the solvability of fractional integral equations with both $(k,s)$-Riemann-Liouville and Erd'{e}lyi-Kober fractional integrals using a new generalized version of the Darbo's theorem using Mizogochi-Takahashi mappings and justify the validity of our results with the help of suitable examples.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"859-869"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68119689","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.2022.5602
Ali Naji Shaker
Wavelets are now perceived as a ground-breaking new mathematical apparatus in signal and picture handling, time arrangement analysis, geophysics, guess hypothesis, and numerous various zones. Wavelet analysis has been an effective way to deal with issues related to analysing a signal in both time and frequency areas. Analysing a non-stationary signal becomes difficult for the various transform methods. Wavelet transforms techniques like Fourier Transform (FT), short-time Fourier transforms (STFT), and wavelet transform (WT) methods and their application are also discussed in detail. Wavelet analysis can be applied to one-dimensional signals like audio signals as well as two-dimensional signals like images. However wavelet processing has wide applications, some of the applications and methods are discussed in the paper.
{"title":"Mathematical analysis wavelets characteristics and their applications","authors":"Ali Naji Shaker","doi":"10.22075/IJNAA.2022.5602","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5602","url":null,"abstract":"Wavelets are now perceived as a ground-breaking new mathematical apparatus in signal and picture handling, time arrangement analysis, geophysics, guess hypothesis, and numerous various zones. Wavelet analysis has been an effective way to deal with issues related to analysing a signal in both time and frequency areas. Analysing a non-stationary signal becomes difficult for the various transform methods. Wavelet transforms techniques like Fourier Transform (FT), short-time Fourier transforms (STFT), and wavelet transform (WT) methods and their application are also discussed in detail. Wavelet analysis can be applied to one-dimensional signals like audio signals as well as two-dimensional signals like images. However wavelet processing has wide applications, some of the applications and methods are discussed in the paper.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"42 1","pages":"837-850"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68125235","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.2020.20694.2197
S. Shafi
In this manuscript, we introduce and study the existence of a solution of a system of generalized nonlinear variational-like inclusion problems in 2-uniformly smooth Banach spaces by using $H(.,.)$-$eta$-proximal mapping. The method used in this paper can be considered as an extension of methods for studying the existence of solutions of various classes of variational inclusions considered and studied by many authors in 2-uniformly smooth Banach spaces. Some important results, theorems and the existence of solution of the proposed system of generalized nonlinear variational-like inclusion problems have been derived.
{"title":"System of generalized nonlinear variational-like inclusion problems in 2-uniformly smooth Banach spaces","authors":"S. Shafi","doi":"10.22075/IJNAA.2020.20694.2197","DOIUrl":"https://doi.org/10.22075/IJNAA.2020.20694.2197","url":null,"abstract":"In this manuscript, we introduce and study the existence of a solution of a system of generalized nonlinear variational-like inclusion problems in 2-uniformly smooth Banach spaces by using $H(.,.)$-$eta$-proximal mapping. The method used in this paper can be considered as an extension of methods for studying the existence of solutions of various classes of variational inclusions considered and studied by many authors in 2-uniformly smooth Banach spaces. Some important results, theorems and the existence of solution of the proposed system of generalized nonlinear variational-like inclusion problems have been derived.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"267-287"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68116190","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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