ISSN 1556-6757







Volume 1, Issue 2, 2007

Closed Form Solution of an Exponential Kernel Integral Equation

Wynand Verwoerd


In this note a Fredholm integral equation of the first kind with exponential expressions for the

kernel and right hand side is considered. The task of finding a practically usable solution to

such an equation may need more effort than following a standard procedure, even when

such a procedure yields a formal solution. An apparently elegant solution as an orthogonal

polynomial expansion is obtained using the standard method based on transformation to a

form where the kernel is an orthogonal polynomial generating function, but this is of limited

use due to slow convergence. It is shown that this can nevertheless be transformed into a

closed form solution that is computationally efficient.  Full Article


Ranking of alternatives in fuzzy environment using integral value
Kusum Deep, M.L.Kansal, K.P.Singh



Decision making in a multi-criterion fuzzy environment is a complex process. This requires the

ranking of various possible alternatives with due consideration to the expert’s opinion. Due to

complexity of the problem, attempts have been made to suggest a more acceptable approach for

ranking of various alternatives in fuzzy environment. In this study, the integral value approach

with index of optimism of the decision maker has been used to rank the various alternatives. The

proposed methodology has been illustrated and justified with the help of an example and the

results are compared with the total utility or ordering value of each alternative based on

maximizing and minimizing set approach reported in the literature. Full Article


Option Pricing: Lattice Models Revisited

Cyrus Seera Ssebugenyi


In this article the topic of option pricing using lattices is re-examined. A moment matching technique and the method of finite differences are used to develop a parametrization for trinomial and binomial lattices. In addition, the CRR model is revisited for which alternative up and down factors are provided. Full Article


The Relationship between Students’ Personality Types and Their Success

Linda Smail and Rasmi Jafar


Teachers often classify students using simple stereotypes such as,” low”, “average”, and “high”

achieving students, and prepare their courses based on this classification. Because students

have different personality types and differences in their acquisition of skills, they require differentiated attention from their teachers. This paper tries to determine the relationships between personality type and the student’s ability to solve a problem. We reached a number of conclusions and recommendations that basically highlighted the importance of learning more about students’ personality types in order to understand their strengths and weaknesses, improve their interpersonal relationships, and gain a better self-knowledge that will help them define and achieve goals. Full Article