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Application of Fuzzy Logic in Modeling Market Brand Value
Issue:
Volume 4, Issue 1, March 2019
Pages:
1-15
Received:
10 December 2018
Accepted:
7 February 2019
Published:
28 February 2019
Abstract: Dominant group of factors that influence the brand market value, according to Aaker are: customer loyalty to the brand, perceived brand quality, brand familiarity and brand associations in comparison to competitors. Functional dependence between these factors and market brand value is not expressed in exact way, although these factors are quantitatively expressed with suitable index [17]. Modern technique of fuzzy logic and fuzzy sets implementation for problem solving in areas of finance and management is based on FLC (fuzzy logic control) process. Implementation of FLC process In this paper is represented in order to determine brand market value that is mathematical model is constructed using fuzzy numbers and fuzzy logic, which is used to quantitatively determine brand market value. Brand market value TV=f (L, P, K, A) is expressed depending on customer loyalty (L) towards the brand, perceived brand quality (K), brand familiarity (P) and brand association (A) received from the customers, where the measurement rates are evaluated using by fuzzy numbers.
Abstract: Dominant group of factors that influence the brand market value, according to Aaker are: customer loyalty to the brand, perceived brand quality, brand familiarity and brand associations in comparison to competitors. Functional dependence between these factors and market brand value is not expressed in exact way, although these factors are quantitat...
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Laplace Substitution – Variational Iteration Method for Solving Goursat Problems Involving Mixed Partial Derivatives
Ali Al-Fayadh,
Dina Saad Faraj
Issue:
Volume 4, Issue 1, March 2019
Pages:
16-20
Received:
26 February 2019
Accepted:
4 April 2019
Published:
10 May 2019
Abstract: This paper will investigate a method to achieve the exact solution of special type of nonlinear partial differential equations (NLPDEs) involving mixed partial derivatives. This proposed method named as Laplace substitution - Variation iteration method (LS-VIM). The method exploits the properties of Laplace substitution method and the Variational iteration method to find the exact solution for Goursat problem involving mixed partial derivatives. In addition, this paper emphasizes the effectiveness of the LS-VIM by solving two examples. The results show that the exact solution can be achieved from a single iteration of the propose method.
Abstract: This paper will investigate a method to achieve the exact solution of special type of nonlinear partial differential equations (NLPDEs) involving mixed partial derivatives. This proposed method named as Laplace substitution - Variation iteration method (LS-VIM). The method exploits the properties of Laplace substitution method and the Variational i...
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A Numerical Analysis of Basis Function on Population Growth Using Gompertz Approach
Issue:
Volume 4, Issue 1, March 2019
Pages:
21-26
Received:
8 April 2019
Accepted:
23 May 2019
Published:
5 June 2019
Abstract: Population growth rate is a factor in determining how great a burden would be imposed on a country by the changing needs of its people for infrastructure. This average annual percentage change in population is as a result of either a surplus or deficit of births rate over deaths rate and the balance of migrants entering or emigrants leaving the country. This rate may either be positive or negative. This rate is the basis used by countries for national planning and projections. Management and Control of population growth has become a singular most important national concern due to dwindling Economic fortunes and competition for essential resources. Gompertz function has always been of interest and being used by Actuaries and Demographers when analyzing population growth. In this research, an interpolating function was proposed following Gompertz function approach and a Numerical scheme was developed to solve a population growth problem. The new scheme has been tested and found to be numerically stable and convergent. The scheme is also found to be effective as the numerical solution is nearly the same as that of the analytic solution of the problem. The method is also used to predict the future population growth in Nigeria.
Abstract: Population growth rate is a factor in determining how great a burden would be imposed on a country by the changing needs of its people for infrastructure. This average annual percentage change in population is as a result of either a surplus or deficit of births rate over deaths rate and the balance of migrants entering or emigrants leaving the cou...
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Soliton Distribution in the Ball and Box Cellular Automation Model
Alpha Soko,
James Makungu
Issue:
Volume 4, Issue 1, March 2019
Pages:
27-30
Received:
3 April 2019
Accepted:
16 May 2019
Published:
13 June 2019
Abstract: Solitons are very important waves in Mathematical Physics. They help model many physical situations for instance tsunami waves, application in optical communication systems, application in plasma physics and application in laser guided technology among others. Despite enormous applications, solving the non-linear equations which have soliton solutions is challenging be- cause the nonlinear characteristic of the system abruptly changes due to some slight changes of valid parameters including time. A remedy to this is to use cellular automation models to model soliton dynamics. Cellular automation models do not change in response to slight changes on parameters. In this paper, using computer simulation, an investigation of the distribution of the number of solitons from the Ball and Box cellular automation model was examined. The distribution of the number of solitons from the two and three colour Ball and Box cellular automation was established. Using the online integer sequence, for the two colour Ball and Box cellular automation model, it was found that the distribution of the number of the solitons is indexed by the binomial coefficients. On the Other hand, for the three colour Ball and Box cellular automation model, it was found that only solitons of lengths one to four possesses the distribution while the other soliton lengths do not possess any distribution function.
Abstract: Solitons are very important waves in Mathematical Physics. They help model many physical situations for instance tsunami waves, application in optical communication systems, application in plasma physics and application in laser guided technology among others. Despite enormous applications, solving the non-linear equations which have soliton soluti...
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