Mathematical models of uncertainty with a regard to membrane systems

  • Authors:
  • Adam Obtułowicz

  • Affiliations:
  • Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 21, 00-956 Warsaw 10, Poland (E-mail: adamo@impan.gov.pl)

  • Venue:
  • Natural Computing: an international journal
  • Year:
  • 2003

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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.