Mathematical models of uncertainty with a regard to membrane systems

Abstract

A brief review is presented of the known mathematical models of uncertainty taking into account its grounds such as randomness, indiscernibility, andvagueness. Then, one discusses the models of the uncertainty caused byindiscernibility and random indiscernibility with a regard to membrane systems.The discussed models include rough sets, probabilistic rough sets, andprobabilistic fuzzy sets. An algebraic characterization of P systems ispresented, which makes possible to ``transfer'' the methods of Petri net theoryto P system theory including the approach of the first theory to models ofuncertainty.[PUBLICATION ABSTRACT]