Singular homology groups of fuzzy topological spaces (Q762800)

Let L be a completely distributive lattice with order reversing involution, and (X,\(\tau)\) an L-fuzzy topological space. The purpose of this paper is to introduce the fundamental concept of fuzzy algebraic topology - the singular homology groups of the L-fuzzy topological space, in such a way that they take the (usual) cubical singular homology groups of a topological space as a special case. Also, we shall prove that they are L-fuzzy homeomorphic invariants.