Abstract
Fuzzy sets and soft sets are two different soft computing models for representing uncertainty and vagueness. In this paper we apply these models in combination to study uncertainty and and vagueness in K-algebras. We introduce the concept of fuzzy soft K-subalgebras and investigate some of their properties. We discuss fuzzy soft images and fuzzy soft inverse images of fuzzy soft K subalgebras. We introduce the notion of an (is an element of, is an element of Vq)-fuzzy soft K-subalgebra which is a generalization of a fuzzy soft K-subalgebra. We also introduce (is an element of(alpha), is an element of(alpha) Vq(beta))-fuzzy soft K-subalgebras and describe some of their properties.