6533b7d6fe1ef96bd1265add

RESEARCH PRODUCT

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

Alexander P. Sostak

subject

Higher category theoryEquivalence of categoriesLogicbusiness.industryFuzzy setAlgebraMorphismSystems theoryArtificial IntelligenceMathematics::Category TheoryCategoryRough setArtificial intelligenceCategory theorybusinessMathematics

description

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.

https://doi.org/10.1016/j.fss.2010.05.010