Towards the theory of M-approximate systems: Fundamentals and examples

  • Authors:
  • Alexander Šostak

  • Affiliations:
  • Department of Mathematics, University of Latvia, Riga LV-1002, Latvia and Institute of Mathematics and Computer Science, University of Latvia, Riga LV-1586, Latvia

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2010

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Abstract

The concept of an M-approximate system is introduced. Basic properties of the category of M-approximate systems and in a natural way defined morphisms between them are studied. It is shown that categories related to fuzzy topology as well as categories related to rough sets can be described as special subcategories of the category of M-approximate systems.