Poison process with fuzzy parameter

This paper, introduces the fuzzy poisson process that plays an important role in the fuzzy sets and systems; specially, The spatial Poisson point process features prominently in spatial statistics, stochastic geometry, and continuum percolation theory. This point process is appliedin various physical sciences such as a model developed for alpha particles being detected. In recent years, it has been frequently used to model seemingly disordered spatial configurations of certain wireless communication networks.For example, models for cellular or mobile phone networks have been developedwhere it is assumed the phone network transmitters, known as base stations, are positioned according to a homogeneous Poisson point process.

Keywords:

fuzzy numbers , Poisson , Process , Integer valued , Parametric form