Abstract

This paper considers some intrinsic properties of the category SET(L) of L-subsets of sets with a fixed basis L and is a continuation of our previous work [4]. Here we study properties of some abstract functors when applied to the category SET(L) as well as some special objects related to them. In the last section we consider two standard constructions, namely, inverse and direct systems in this category.

Keywords: Category theory, L-fuzzy set, functor, special morphism, special object, standard construction.

MSC: 03E72, 04A72, 18B99

Pages:  65--82     

Volume  55 ,  Issue  3$-$4 ,  2003