6533b85bfe1ef96bd12bb355

RESEARCH PRODUCT

On a generalization of Goguen's category Set(L)

Sergey A. Solovyov

subject

Discrete mathematicsClosed categoryArtificial IntelligenceLogicDiagram (category theory)Complete categoryMathematics::Category TheoryCategoryConcrete categoryCategory of setsEnriched categoryMathematicsTopological category

description

The paper considers a category which generalizes Goguen's category Set(L) of L-fuzzy sets with a fixed basis L. We show the necessary and sufficient conditions for the generalized category to be a quasitopos and consider additional inner structure supplied by the latter property.

https://doi.org/10.1016/j.fss.2006.09.007