Applied Z-numbers

Z-number is an emerging paradigm that has been utilized in computing with words among others. The concept of a Z-number is intended to provide a basis for computation with numbers that deal with reliability and likelihood. Z-numbers are confluence between the two most prominent approaches to uncertainty, probability and possibility, which allow computations on complex statements. computations on Z-numbers require solving a complex optimization problem over the space of all possible probability distribution which leads in to its slow adoption to computing with words machinery. This paper seeks to provide an applied model of Z-numbers based on certain realistic assumptions regarding the probability distributions. An algorithm and example is presented to demonstrate the applicability of the model.