On a generalization of the concept of state property system

  • Authors:

  • Sergey A. Solovyov

  • Affiliations:

  • University of Latvia, Department of Mathematics, Zellu iela 8, 1002, Riga, Latvia and University of Latvia, Institute of Mathematics and Computer Science, Raina bulvaris 29, Riga, 1459, Latvia

  • Venue:
  • Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special Issue on Evolutionary Fuzzy Systems
  • Year:
  • 2011

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Abstract

Based in the notions of topological system of S. Vickers and lattice-valued topological space of S.E. Rodabaugh, the paper introduces a generalization of the concepts of state property system of D. Aerts and closure space (used by many authors in the literature), showing that the categories of the new structures are equivalent.