Applied Mathematics and Computational Intelligence (AMCI)

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https://hdl.handle.net/20.500.14170/364
AMCI is peer-reviewed and published as an online open-access journal as well as in printed copy. The journal welcomes original and significant contributions in the area of applied mathematics and computational intelligence. It emphasises on empirical or theoretical foundations, or their applications to any field of investigation where mathematics and computational intelligence techniques are used. The journal is designed to meet the needs of a wide range of mathematicians, computer scientists and engineers in academic or industrial research.

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Browsing Applied Mathematics and Computational Intelligence (AMCI) by Title

  • Publication
    60-year Research history of missing data: a bibliometric review on Scopus database (1960-2019)
    ( 2020-12)
    Farah Adibah Adnan
    ;
    Mohd Hafiz Zakaria
    ;
    Safwati Ibrahim
    esearch on missing data was initiatedin1960and the study on this topicgrew exponentially acrossvarioussubject areas since then.Therefore, this study aims to analyze those studies, specificallyjournal articles publishedin the context of missing data.Scopus databaseand analysis tools wereutilized to retrieve all available journal articles related tomissing dataand its data. Next, due to the large number of articles foundin the Scopus database, its informationcan only be efficiently extracted and combined using Mendeley software.To further obtained insights on the extractedinformation, VOSviewer was used to obtain network visualization and overlay visualization on authors’ keywordand citation metrics was obtained using HarzingPublish or Perish software. Additionally, the growth of publication, languages used, subject area, countriesinvolved,and publication activity were also presented using bibliometric analysis. In total, 6227journal articles werefound. The recordshows thata drastic increment of research in missing data happened in 2016, with 446publications compared to 361 in 2015. Most of the articleswere affiliated with researchers in the United States and werewritten mainly in English. Mathematics, decision sciences, medicine, and computer scienceare four subject areas that have high number of articles. It is expected that thepublications on this topic will increase significantly in 2020 due to its research trend that is currently blooming in the area of medicine and thereforeleadtopotential directions for future research
      4  8
  • Publication
    A classifying and ranking selection of healthcare tourism services
    ( 2020-12)
    Nur Syahirah Mohd Asri
    ;
    Norshahrizan Nordin
    The study is conducted to classify and rankingselection ofhealthcare tourism servicesusing the integration of the Kano model and the Fuzzy Analytic Hierarchy Process (FAHP). The selection of healthcare tourism servicesis the determinant factor towards patients’ satisfaction. FAHP isone of the quality improvement methods toimprovehealth tourism. However, FAHP cannot identify the patients’ satisfaction. The Kano Model provides a way to better understandingof patients’ satisfaction through the Kano Quality Attribute categories. Thus, the integration between the Kano Model and FAHP is proposed in this study. The study firstidentifiesthe determinant factors towards patients’ satisfaction requirements in healthcare tourism services. Next, the study measured patients’ satisfaction using Kano and classified them into five groups: must-be,attractive,one-Dimensional,indifferent,andreverse. Finally, the study ranked the determinant factors towards patients’ satisfaction requirements by usingFAHPto prioritize the most important patients’ satisfaction requirements. The findings will help the healthcare decision-maker to design and improve health tourism to enhance patients’ satisfaction in healthcare tourism services based on the most important patients’ satisfaction requirement.
  • Publication
    A family of third order iterative methods for solving nonlinear equations free of second derivative
    ( 2022-12)
    Muhammad Shakur Ndayawo
    ;
    Babangida Sani
    In this paper, we proposedand analysed a family of iterative methods for solving nonlinearproblems. The methods have been developed by applying Adomian decomposition method to Taylor’s series expansion. Using one-way ANOVA, the methods are compared with other existing methods in terms of number of iterations and solution to convergence between the individual methods used. Numerical examples are used in the comparison to justify the efficiency of the new iterative methods.
      11  1
  • Publication
    A fitted numerical method for a class of singularly perturbed convection delayed dominated diffusion equation
    ( 2020-12)
    Rakesh Ranjan
    ;
    H. S. Prasad
    ;
    Md. J, Alam
    A new exponentially fittednumerical method based on uniform meshis proposed to obtain the solution of a class of singularly perturbed convection delayed dominated diffusion equation.The considered equation is first reduced to the ordinary singularly perturbedproblem by expanding the term containing negative shift using Taylor series expansionprocedure and then a three-termschemeis obtained using thetheory of finite differences.Afitting factor is introduced in the derived scheme with the help of singular perturbationtheory. Thomas algorithm is employed to find the solution of the resulting tridiagonal systemof equations. Stability and convergence of the proposed method are discussed. The method is shown to be first accurate. Computational results for two example problems are presented for different values of the grid point,Nand perturbation parameter,.It is observed that the method is capable of approximating the solution very well
  • Publication
    A heuristic technique for finding a solution of job sequencing problem
    ( 2022-12)
    Rajpal Rajbhar
    ;
    L. N. Das
    ;
    Arun Kumar Bhardwaj
    A finite set of sequential jobs performed through a setup machines assignment within a time-bound shift-wise manner or processing with a minimum time delay and using effectiveness process of machine sequencing order within the limited resource is called job sequencing problem. This paper proposed a heuristic technique known as a time deviation for an appropriate solution to the job sequencing problem to minimize the total minimum elapsed time and idle time in detail. We have written a process n number of sequential jobs through the m machines. Initially, we discussed the job sequencing problem for n jobs processed through two and three machines separately. We have also expanded the mentioned variables in n jobs for m machines. In conclusion, we have found the sequence of the job specification with the assigned machines. If the elapsed time for the n number of jobs process through m number of machines is known, for a more significant value of n, the final optimal assignment sequential jobs determined a listed solutionby the MATLAB programming is discussed in this paper. If the total elapsed time of machines' jobs is concerned, a relationship of pre-assigned matrix elements.
  • Publication
    A human face recognition using Alyuda Neurointelligence
    ( 2019-12)
    Norpah Mahat
    ;
    Afifah Sakinah Mohamad Zuki
    Nowadays, face recognition has been one of the most popular studies. It is considered as a highly interesting topic to do a study on. With the advancement of today’s technology, face recognition has been used ina wide range of areas. For instance, face recognition is very common in the security industry. The main idea of this study is to identify the best algorithm with the smallest mean squared error (MSE). The analyses were carried out to compare the algorithms with the smallest mean squared error and to improve the previous research on face recognition based on artificial neural networks. The study on face recognition data and their evaluation by neural networks is important in detecting human faces. This study was conducted by using 45 different face images. The architecture forthe network was obtained by Alyuda Neurointelligencewhere the most popular learning algorithm such as Quick Propagation, Conjugate Gradient Descent, Quasi Newton, Limited Memory Quasi Newton, Levenberg-Marquadt, Online Back Propagation and Batch Back Propagation have been implemented and tested to measure the percentage of success. The results indicated that the Adaptive Techniques were extremely useful pattern recognition especially in identifying human faces. The Limited Memory Quasi-Newton becomes the most suitable algorithm to train the human face recognition data with the smallest MSE. Furthermore, this study has shown a strong positive relationship proven by the R-squared and correlation coefficient for all algorithms
      3  1
  • Publication
    A new method for solving fully fuzzy linear fractional programming with a triangular fuzzy numbers
    ( 2014-12)
    N. Safaei
    In this paper, we propose a method of solving the fully fuzzy linear fractional pro-gramming (FFLFP) problems, where all the parameters and variables are triangular fuzzynumbers. In the proposed method, the given FFLFP problem is decomposed into three crisplinear fractional programming (CLFP) problems with bounded variables constraints, threeCLFP problems are solved separately and by using its optimalsolutions, the fuzzy optimalsolution to the given FFLFP problem is obtained. Fuzzy ranking functions and addition ofnonnegative variables were not used and there is no restriction on the elements of coefficientmatrix in the proposed method. Finally, numerical example are used in order to show theefficiency and superiority of the proposed method.
      8  9
  • Publication
    A note on “a new method for solving fully fuzzy linear fractional programming with a triangular fuzzy numbers”
    ( 2015-12)
    Sapan Kumar Das
    ;
    T. Mandal
    ;
    S. A. Edalatpanah
    The objective of this paper is to deal with a kind of fuzzy fractional programming problem where all the parameters and variables are triangular fuzzy numbers. We point out an error in the recently published article (Safaei, Appl. Math. Comp. Intel., 3 (2014) 273-281.) and then correct it. An example is also presented to demonstrate the new form.
      6  10
  • Publication
    A numerical study of the mathematical model offlow in the petroleum reservoirs
    ( 2013-07)
    P. Reihani Ardabili
    This paper concerns with the solution of a nonlinear, degenerate, convection-diffusion problem describing two-phase flow in porous media. A numerical procedure based on decomposition scheme is developed to solve the proposed problem. For illustration purpose, two test problems are considered and their series and exact solutions are compared.
      26  12
  • Publication
    A preliminary report on the utilization of Galerkin-PSO method for solving interpolation-like problem
    ( 2012-12)
    Ayu Fitri Yanti
    ;
    Iwan Pranoto
    The interpolation-like problem discussed in this paper is to search an optimal curve minimizing a functional cost and at the same time interpolating several given points. Instead of solving the optimization problem with constrain directly, we transform the problem into a pure optimization problem, without constrain. After that, the Galerkin Method is used to make the problem finite dimensional one. The problem becomes finding a minimal point and value of a finite dimensional function. The Particle Swarm Optimization (PSO) algorithm is used to minimize this function.
      29  8
  • Publication
    A production inventory model with constant production rate, linear level dependent demand and linear holding cost
    ( 2022-12)
    Alhamdu Atama Madaki
    ;
    Babangida Sani
    In this paper, a production inventory model is proposed which considers products with limited life and a little amount of decay. In real life problem, there are many scenarios that happened in production inventory which were not taken into consideration byShirajul Islam and Sharifuddin [19], who formulated a production inventory model and considered both the holding cost and the production rate to be constant. They assumed that the demand is a linear level dependent. Their paper has been modified and extended by considering the holding cost to be linearly dependent on time and the demand rate during production is assumed to be smaller than the demand rate after production. The proposed production inventory model is formulated using systems of differential equations including initial and boundary conditions and typical integral calculus were also used to analyze the inventory problems. These differential equations were solved to give the best cycle length of the model to minimize the inventory cost. A mathematical theorem and proof are presented to establish the convexity of the cost function. From the numerical examples giving to illustrate the application of the model, a Newton-Raphson method has been used to determine the optimal length of ordering cycle to be 0.54814, optimal cycle time=2.3014 (840days), optimal quantity=32.9675 and total optimal average inventory cost per unit time=18.253 and accompanied by sensitivity analysis to see the effects of the parameter changes.
      17  4
  • Publication
    A robust diagonally implicit block method for solving first order Stiff IVP of ODEs
    ( 2022-12)
    Abdu Masanawa Sagir
    ;
    Muhammad Abdullahi
    In this work, a block of diagonally implicit backward differentiation method with two off-step points for solving first order stiff initial value problem of ordinary differential equation was derived. In the proposed block method two approximate solution values of 𝑦𝑛+1and 𝑦𝑛+2with two off-step points 𝑦𝑛+12and 𝑦𝑛+32 are computed concurrently for each iteration. The properties of the newly proposed method were found to be an A-stable, Zero stable and capable for solving first order Stiff IVPs. To validate the performance of the proposed method, some first order stiff IVPs are solved and the result obtained was compared with other existing numerical schemes. From the tabulated results and the graphs plotted, the proposed method has shown advantages of accuracy in the scale error over the three methods and an advantage of executional time over two of the existing methods considered.
  • Publication
    A robust diagonally implicit block method for solving first order Stiff IVP of ODEs
    ( 2022-12)
    Abdu Masanawa Sagir
    ;
    Muhammad Abdullahi
    In this work, a block of diagonally implicit backward differentiationmethodwith two off-step points for solving first orderstiff initial value problem of ordinary differential equation wasderived. In the proposed block method two approximate solution values of 𝑦𝑛+1and 𝑦𝑛+2with two off-step points 𝑦𝑛+12and 𝑦𝑛+32are computed concurrently for each iteration. The properties of the newly proposed method were found to be an A-stable, Zero stable and capable for solving first order Stiff IVPs. To validate the performance of the proposed method, some first order stiff IVPs are solved and the result obtained was compared with other existing numerical schemes. From the tabulated results and the graphs plotted, the proposed methodhas shown advantages of accuracy in the scale error over the three methods and an advantage of executional time over two of the existing methods considered.
      2  2
  • Publication
    A study of customer-based brand equity prioritization by using analytical hierarchy process
    ( 2018-12)
    Emmi Aida Esan
    ;
    Norshahrizan Nordin
    ;
    Wan Norsyafawati W. Muhamad Radzi
    New entrepreneur face with issues in managing brand equity and its significant is that it helps firms to enhance their cash flow and product differentiation to enjoy and obtain benefits out of competitive advantage. Plus, brand equity is regarded as a key benchmark for the state of health of a brand, and monitoring is believed to be an effective way of managing brand. Previous researchers have discussed that there are two motives to study brand equity which are financial motivation in order to value the brand and improving market productivity. Therefore, brand equity is treated as the most valuable intangible asset according to literatures. Customer based brand equity can create the most powerful point of difference among product suppliers. Therefore, it is imperative to explore the dimension and criteria of customer based brand equity model which includes resonance, judgement, feelings, performance, imagery and salience. In order to explore the criteria prioritization of customer based brand equity amongst customers towards the new product sell by entrepreneur in the market, researcher obtained filled questionnaires from 20 respondents who have experience in buy new local product by entrepreneurs. Analytical Hierarchy Process (AHP) which is one of Multi Criteria Decision Method families was used as methodology for this study. AHP methodology is implemented in this study. Result shows the prioritization of criteria in customer based brand equity model significantly contribute to the brand equity of products by entrepreneur. Furthermore, the contribution of this study is to the extent to which the new entrepreneurs can use the prioritization criteria findings to create the brand equity for their product and customer’s wants towards new products can be fulfilled.
      7  28
  • Publication
    A study on reliability of an efficient technique
    ( 2014-12)
    Jamshad Ahmad
    ;
    Faizan Hussain
    In this paper, two reliable modifications of Variational Iteration Method (VIM) are tested for two nonlinear mathematical problems like Emden-Fowler Equation and Lane-Emden Equation, which arises in diverse fields of physics. It has been observed that these modifications are very efficient and reliable for the solution of the non-linear problems. Numerical results represent the reliability, effectiveness and efficiency of the proposed modifications
      11  13
  • Publication
    An economical first order Runge-Kutta method for solving ordinary differential equations
    ( 2019-12)
    Lim Tian Hwee
    ;
    Nor’aini Aris
    In this paper, we presenteda type of Runge-Kutta method to solve initial value problems in Ordinary Differential Equations. Similar to Euler’smethod, the newmethod is of order one, easy to implement and only require one function evaluation per stepexcept the initial step. The only different is thismethod requires the information from the previous step. We studied the stability of the new method and numerical results arepresented.
  • Publication
    An investigation of the weighted measurement for charity servicesby using analytical hierarchy process
    ( 2018-12)
    Nur Izzati Idrus
    ;
    Wan Norsyafawati W. Muhamad Radzi
    ;
    Norshahrizan Nordin
    A charity service for the community is a pure activity where it is assisted by a handful of people to the more needy people. Community involvement in charity activities aims to provide any financial, time and energy assistance. This charity activity has a strategy of ensuring that welfare aspects are integrated into planning towards achieving holistic socio-economic development and enhancing smart and strategic partnerships through collaboration with all groups of people, non-governmental organizations and international agencies. In fact, these charity activities need to improve the quality of financial planning and management as well as information and communication technology professionally. In Malaysia, there are three (3) primary ethnic group in Malaysia that is Malay, Chinese and Indian with the overall population of 15 million, 6 million and 2 million respectively (Economic Planning Unit of Malaysia,2016).This study is focusing on the positively influence individual’s attitude toward the charities events. Data will be collected and the result will be analyzed and presented via Analytic Hierarchy Process. The analysis that will be used to ensuring consistency when dealing with pair wise comparisons, several researchers have suggested some alternatives. Analytic Hierarchy Process (AHP) begins by asking the evaluator to compare the level of importance between all possible pairof criteria, using a scale with values from 1 to 9. As the result, the Analytical Hierarchy Process, that describes the appropriate criteria of donator for charity services focus on to financial stability, period of operations, and service delivery record, and location has been developed.Moral commitment is the significance of charitable practices, occasions and causes will range amongst people in mild of their issues and commitments
      16  7
  • Publication
    Analysis of different types of full reference image quality assessment algorithm
    ( 2018-12)
    Faizah Mokhtar
    ;
    Ruzelita Ngadiran
    Measurement of Image Quality plays an important role in numerous image processing applications such as forensic science, image enhancement, medical imaging, etc. In recent years, there is a growing interest among researchers in creating objective image quality assessment (IQA) algorithms that can correlate well with perceived quality. A significant progress has been made for full reference (FR) IQA problem in the past decade. In the meantime, several works has been made to compare and evaluate the performance of existing FR IQA methods. In this paper, we are comparing 5 selected FR IQA algorithms on TID2008 image datasets. The performance and evaluation results are shown in graphs and tables
      14  14
  • Publication
    Analysis of mathematical model for the dynamics of Diabetes Mellitus and its complications
    ( 2021-12)
    Patrick Olabanji Aye
    ;
    Kolawole Adefemi Adeyemo
    ;
    Abayomi Samuel Oke
    ;
    Adebola Evelyn Omotoye
    Diabetes mellitus is a metabolic disorder associated with impaired glucose, lipid and protein metabolism as a consequence of impaired production, secretion or action of insulinin human body system. In this work, we developed a mathematical model for the dynamics of diabetes mellitus and its complications and carried out analysis of the model. The analytical solution of the model equations is obtained using Homotopy Perturbation Method. Numerical simulation of the model solution was done using Mapple 18Mathematical software. The parameters are varied and their effects on the model dynamics are presented graphically. The results showed that thedearths due to diabetes complications can be reduced drastically if the rate at which complications are treated is high and the rate of developing a complication is slow.
      16  1
  • Publication
    Analysis of public sentiment on Covid-19 vaccination policy based on text mining with the Naïve Bayes Classifier approach
    ( 2021-12)
    Rita Susanti
    ;
    Alvito Aryo Pangestu
    ;
    Haydar Arsy Firdaus
    ;
    M. Fariz Fadillah Mardianto
    One of the goals in the SDGs, which is to ensure a healthy life and promote the welfare of all people of all ages, has become difficult to maintain since the emergence of Covid-19 in Indonesia. Thus, the Indonesian government has issueda policy regarding the procurement of vaccines and the implementation of vaccinations through Presidential Regulation Number 99 of 2020. Meanwhile, the public's perception of the Covid-19 vaccine that appears are variesandwill affect the Covid-19 vaccination process in Indonesia, so a sentiment analysis needs to be carried out to free Indonesia from the Covid-19 pandemic. By using the text mining method, the primary data collected is in the form of public opinions from Twitter. With the Naïve Bayes Classifier approach, it is concluded that the model is consistent and good enough to be used to classify public sentiment regarding the Covid-19 vaccination policy.
      2  10