Kragujevac J. Math. 26 (2004) 165-173.
Memudu Olaposi Olatinwo
Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria
(e-mail: molaposi@yahoo.com)
Abstract. Adeagbo-Sheikh [1] gave the detail about the notions of the 'distance function (g(t))' and the 'working functions (yi*(t), i = 1,2,...,n)'. The working functions are the functions which describe the behaviours of the subsystems during self-organization process. The procedure for obtaining these working functions for a system of three particles which is self-organizing to keep the particles in a straight line was discussed in Olatinwo and Adeagbo-Sheikh[4].
In this paper, we employ some concepts of the probability theory, elementary properties of curve as well as the distance function to determine the degree of progress to goal at any stage during self-organization process. We consider the probability of reaching the goal at any stage of the self-organization process as its degree of process to goal during this process.
The results obtained are in agreement with the axiomatic properties of probability.