8/3/2019 AN ODE APPROACH TO DECISION MAKING INVOLVING PAIRWISE COMPARISON OF CHOICES PART 2

1/1

ABSTRACT

AN ODE APPROACH TO DECISION MAKING INVOLVING

PAIRWISE COMPARISON OF CHOICES

Yuichi T. Otsuka Adviser:

UP Los Baos, October 2011 Jomar F. Rabajante

In this study, an alternative approach to Analytic Hierarchy Process (AHP) for

Multi-Criteria Decision Making (MCDM) was established. With the aid of pairwise

comparisons among choices, three models using systems of ordinary differential

equations were formulated. The models were used to observe the dynamics of decision

making, as well as the qualitative behavior of the interaction that exists among the

choices.

Numerical and analytic methods were applied to solve the given systems of

ordinary differential equations. Though the solutions to the three models differ in nature,

the qualitative interpretations were similar. Further analyses were also done on some

models, such as finding the period and the absolute extrema for bounded solutions.