Wynand Verwoerd
Abstract
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
Abstract
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
Abstract
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
Abstract
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
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