This paper introduces a method for modelling a Mobile Robot's environm
ent, with its in-built uncertainties, in the Configuration Space using
sonar range finders. The sonar uncertainties are modelled using a pos
sibilistic, rather than probabilistic, measure and are represented by
Fuzzy Membership grades. The Resistive Grid path planning method, that
maps the Fuzzy Configuration Space Map into a grid of resistors and m
odels goals as voltage sources, is used for planning a path. The neat-
optimal planned path takes into consideration position and modelling u
ncertainties, kinematic constraints of the vehicle as well as the unce
rtainty of the goal. The path is produced incrementally, giving inhere
nt interleaving between planning and execution, thus the method is par
ticularly suited for real time applications.