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

Authors:
Sergey A. Solovyov
Affiliations:
Department of Mathematics, University of Latvia, 19 Raina Blvd., Riga LV-1586, Latvia
Venue:
Fuzzy Sets and Systems
Year:
2007

Citing 3
Cited 1

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Abstract

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.