Abstract:

With the help  of  the concept of fuzzy soft sets, the notions of fuzzy soft subinclines in incline algebras were given, and some of their properties were studied. Furthermore, the definitions of fuzzy soft homomorphism and fuzzy soft isomomorphism of fuzzy soft subinclines in incline algebras were defined and the theorems of isomomorphic image and homomorphic preimage of fuzzy soft subinclines in incline algebras were given. Meanwhile it is proven that the category of fuzzy soft subinclines in incline algebras is topological over the category of incline algebras.

Key words: fuzzy soft subinclines, fuzzy soft ideals, fuzzy soft filter, complete lattice, category