On the vague modules

In this thesis work about adaptation of modules on vague algebraic structures, firstly fundamental informations about fuzzy sets; immediately after, basic and general definitions and some features of fuzzy equations and fuzzy function, vague binary operation, vague homomorphism, vague group and vague subgroup (Demirci 1999a, 1999b) are given. After that, substructure of the vague module is constituted by definitions of vague ring, vague subring and vague ideal (Sezer 2003) are given. Finally at the last chapter of the thesis, the concepts of vague module, vague submodule, vague module homomorphism and isomorphism are defined and some properties of these concepts are investigated.